A comparison among optimization software to solve bi-objective sectorization problem
In this study, we compare the performance of optimization software to solve the bi-objective sectorization problem. The used solution method is based on an approach that has not been used before in the literature on sectorization, in which, the bi-objective model is transformed into single-objective...
Uloženo v:
| Vydáno v: | Heliyon Ročník 9; číslo 8; s. e18602 |
|---|---|
| Hlavní autor: | |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
England
Elsevier Ltd
01.08.2023
Elsevier |
| Témata: | |
| ISSN: | 2405-8440, 2405-8440 |
| On-line přístup: | Získat plný text |
| Tagy: |
Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
|
| Abstract | In this study, we compare the performance of optimization software to solve the bi-objective sectorization problem. The used solution method is based on an approach that has not been used before in the literature on sectorization, in which, the bi-objective model is transformed into single-objective ones, whose results are regarded as ideal points for the objective functions in the bi-objective model. Anti-ideal points are also searched similarly. Then, using the ideal and anti-ideal points, the bi-objective model is redefined as a single-objective one and solved. The difficulties of solving the models, which are basically non-linear, are discussed. Furthermore, the models are linearized, in which case how the number of variables and constraints changes is discussed. Mathematical models are implemented in Python's Pulp library, Lingo, IBM ILOG CPLEX Optimization Studio, and GAMS software, and the obtained results are presented. Furthermore, metaheuristics available in Python's Pymoo library are utilized to solve the models' single- and bi-objective versions. In the experimental results section, benchmarks of different sizes are derived for the problem, and the results are presented. It is observed that the solvers do not perform satisfactorily in solving models; of all of them, GAMS achieves the best results. The utilized metaheuristics from the Pymoo library gain feasible results in reasonable times. In the conclusion section, suggestions are given for solving similar problems. Furthermore, this article summarizes the managerial applications of the sectorization problems. |
|---|---|
| AbstractList | In this study, we compare the performance of optimization software to solve the bi-objective sectorization problem. The used solution method is based on an approach that has not been used before in the literature on sectorization, in which, the bi-objective model is transformed into single-objective ones, whose results are regarded as ideal points for the objective functions in the bi-objective model. Anti-ideal points are also searched similarly. Then, using the ideal and anti-ideal points, the bi-objective model is redefined as a single-objective one and solved. The difficulties of solving the models, which are basically non-linear, are discussed. Furthermore, the models are linearized, in which case how the number of variables and constraints changes is discussed. Mathematical models are implemented in Python's Pulp library, Lingo, IBM ILOG CPLEX Optimization Studio, and GAMS software, and the obtained results are presented. Furthermore, metaheuristics available in Python's Pymoo library are utilized to solve the models' single- and bi-objective versions. In the experimental results section, benchmarks of different sizes are derived for the problem, and the results are presented. It is observed that the solvers do not perform satisfactorily in solving models; of all of them, GAMS achieves the best results. The utilized metaheuristics from the Pymoo library gain feasible results in reasonable times. In the conclusion section, suggestions are given for solving similar problems. Furthermore, this article summarizes the managerial applications of the sectorization problems.In this study, we compare the performance of optimization software to solve the bi-objective sectorization problem. The used solution method is based on an approach that has not been used before in the literature on sectorization, in which, the bi-objective model is transformed into single-objective ones, whose results are regarded as ideal points for the objective functions in the bi-objective model. Anti-ideal points are also searched similarly. Then, using the ideal and anti-ideal points, the bi-objective model is redefined as a single-objective one and solved. The difficulties of solving the models, which are basically non-linear, are discussed. Furthermore, the models are linearized, in which case how the number of variables and constraints changes is discussed. Mathematical models are implemented in Python's Pulp library, Lingo, IBM ILOG CPLEX Optimization Studio, and GAMS software, and the obtained results are presented. Furthermore, metaheuristics available in Python's Pymoo library are utilized to solve the models' single- and bi-objective versions. In the experimental results section, benchmarks of different sizes are derived for the problem, and the results are presented. It is observed that the solvers do not perform satisfactorily in solving models; of all of them, GAMS achieves the best results. The utilized metaheuristics from the Pymoo library gain feasible results in reasonable times. In the conclusion section, suggestions are given for solving similar problems. Furthermore, this article summarizes the managerial applications of the sectorization problems. In this study, we compare the performance of optimization software to solve the bi-objective sectorization problem. The used solution method is based on an approach that has not been used before in the literature on sectorization, in which, the bi-objective model is transformed into single-objective ones, whose results are regarded as ideal points for the objective functions in the bi-objective model. Anti-ideal points are also searched similarly. Then, using the ideal and anti-ideal points, the bi-objective model is redefined as a single-objective one and solved. The difficulties of solving the models, which are basically non-linear, are discussed. Furthermore, the models are linearized, in which case how the number of variables and constraints changes is discussed. Mathematical models are implemented in Python's Pulp library, Lingo, IBM ILOG CPLEX Optimization Studio, and GAMS software, and the obtained results are presented. Furthermore, metaheuristics available in Python's Pymoo library are utilized to solve the models' single- and bi-objective versions. In the experimental results section, benchmarks of different sizes are derived for the problem, and the results are presented. It is observed that the solvers do not perform satisfactorily in solving models; of all of them, GAMS achieves the best results. The utilized metaheuristics from the Pymoo library gain feasible results in reasonable times. In the conclusion section, suggestions are given for solving similar problems. Furthermore, this article summarizes the managerial applications of the sectorization problems. |
| ArticleNumber | e18602 |
| Author | Teymourifar, Aydin |
| Author_xml | – sequence: 1 givenname: Aydin orcidid: 0000-0002-0285-0266 surname: Teymourifar fullname: Teymourifar, Aydin email: aydinteymurifar@gmail.com, ateymourifar@ucp.pt organization: Universidade Católica Portuguesa, Católica Porto Business School, Centro de Estudos em Gestão e Economia Porto, Portugal |
| BackLink | https://www.ncbi.nlm.nih.gov/pubmed/37576245$$D View this record in MEDLINE/PubMed |
| BookMark | eNqFUk1vEzEUtFARLaU_AbRHLgn-WH-sOKCqAlqpEpdytmzvc-rV7nqxN6nKr8dpkqrlkpOfn-eNx555j07GOAJCHwleEkzEl255D314jOOSYsqWQJTA9A06ozXmC1XX-ORFfYoucu4wxoQr0Uj2Dp0yyaWgNT9Dd5eVi8NkUshxrMwQx1UVpzkM4a-ZQ2nl6OcHk6CaY6n7DVQ2LKLtwM2hbHJZYzqApxRtD8MH9NabPsPFfj1Hv398v7u6Xtz--nlzdXm7cLwR80KJVniriJQguceGOWWs8kwob421jCtVC0UYYEcVbaTgtWnq0uJteUaL2Tm62fG20XR6SmEw6VFHE_RTI6aVNmkOrgfdKgIWe1OoZG0FNY3nEnPJiZXE06ZwfdtxTWs7QOtgnJPpX5G-PhnDvV7FjSa4JlRKWRg-7xlS_LOGPOshZAd9b0aI66wZ4UziRkl-FEoVx5JiVm-hn17qehZ0sLAAvu4ALsWcE3jtwvxkR5EZ-qJPbzOjO73PjN5mRu8yU6b5f9OHC47N7b8Lir-bAElnF2B00IZUIlEMCEcY_gERqt9U |
| CitedBy_id | crossref_primary_10_1186_s41043_024_00594_4 crossref_primary_10_1016_j_ece_2024_04_002 |
| Cites_doi | 10.1016/j.cie.2019.106265 10.3390/math10020283 10.7717/peerj.9258 10.1016/j.cie.2019.106231 10.1016/j.swevo.2014.10.005 10.1109/TEVC.2003.810752 10.1016/j.procs.2022.11.245 10.1016/j.eswa.2011.02.116 10.1016/j.heliyon.2019.e01956 10.1080/00207543.2018.1543964 10.1007/s00170-004-2492-x 10.1016/j.renene.2021.10.058 10.1016/j.heliyon.2022.e09062 10.1016/j.heliyon.2022.e09019 10.1016/j.cie.2020.106327 10.1109/TFUZZ.2020.2998174 10.1051/ro:2005005 10.1016/j.ajsl.2021.01.003 10.1007/BF01584098 10.1016/j.mcm.2006.05.006 10.1007/s11081-018-9411-8 10.1016/j.heliyon.2021.e06953 10.1029/WR010i004p00615 10.1016/j.knosys.2023.110363 10.1016/S0377-2217(97)00410-4 10.1016/j.heliyon.2023.e13683 10.1109/ACCESS.2020.2990567 10.1007/s10479-017-2539-7 10.2166/hydro.2015.144 10.1287/opre.38.1.15 10.1016/j.ejco.2022.100031 10.1016/j.cor.2008.11.001 10.1016/j.eswa.2011.02.050 10.1016/j.eswa.2015.09.019 10.1111/1468-0106.12310 10.1016/j.ejor.2021.04.053 10.1016/j.ejor.2008.10.003 10.1016/j.cor.2013.08.002 10.1016/j.ejor.2008.10.031 10.1016/j.scitotenv.2018.11.273 10.1587/transinf.2022EDP7073 10.1007/s10479-018-3078-6 10.13189/ujam.2018.060101 10.1007/s10107-005-0585-4 10.1016/j.energy.2017.07.063 10.1007/s12083-020-00949-8 10.1016/j.cam.2018.04.041 10.3390/encyclopedia3010006 10.1017/S0373463319000833 10.1016/j.heliyon.2019.e02410 10.1016/S0360-8352(02)00067-0 10.1016/j.eswa.2022.116567 |
| ContentType | Journal Article |
| Copyright | 2023 The Author(s) 2023 The Author(s). 2023 The Author(s) 2023 |
| Copyright_xml | – notice: 2023 The Author(s) – notice: 2023 The Author(s). – notice: 2023 The Author(s) 2023 |
| DBID | 6I. AAFTH AAYXX CITATION NPM 7X8 7S9 L.6 5PM DOA |
| DOI | 10.1016/j.heliyon.2023.e18602 |
| DatabaseName | ScienceDirect Open Access Titles Elsevier:ScienceDirect:Open Access CrossRef PubMed MEDLINE - Academic AGRICOLA AGRICOLA - Academic PubMed Central (Full Participant titles) Directory of Open Access Journals (DOAJ) |
| DatabaseTitle | CrossRef PubMed MEDLINE - Academic AGRICOLA AGRICOLA - Academic |
| DatabaseTitleList | MEDLINE - Academic PubMed AGRICOLA |
| Database_xml | – sequence: 1 dbid: DOA name: DOAJ Directory of Open Access Journals url: https://www.doaj.org/ sourceTypes: Open Website – sequence: 2 dbid: NPM name: PubMed url: http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?db=PubMed sourceTypes: Index Database – sequence: 3 dbid: 7X8 name: MEDLINE - Academic url: https://search.proquest.com/medline sourceTypes: Aggregation Database |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Medicine |
| EISSN | 2405-8440 |
| ExternalDocumentID | oai_doaj_org_article_d81eb0fa0c274b62a9f5705751b71f29 PMC10412777 37576245 10_1016_j_heliyon_2023_e18602 S2405844023058103 |
| Genre | Journal Article |
| GroupedDBID | 0R~ 457 53G 5VS 6I. AAEDW AAFTH AAFWJ AALRI AAYWO ABMAC ACGFS ACLIJ ACVFH ADBBV ADCNI ADEZE ADVLN AEUPX AEXQZ AFJKZ AFPKN AFPUW AFTJW AGHFR AIGII AITUG AKBMS AKRWK AKYEP ALMA_UNASSIGNED_HOLDINGS AMRAJ AOIJS APXCP BAWUL BCNDV DIK EBS EJD FDB GROUPED_DOAJ HYE IPNFZ KQ8 M~E O9- OK1 RIG ROL RPM SSZ AAYXX CITATION NPM 7X8 7S9 L.6 5PM |
| ID | FETCH-LOGICAL-c596t-86d6fb8177e75f0a3c8ab8f368fbabb358846813e0c28297654a944685d973d03 |
| IEDL.DBID | DOA |
| ISICitedReferencesCount | 2 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=001051823200001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 2405-8440 |
| IngestDate | Fri Oct 03 12:45:33 EDT 2025 Thu Aug 21 18:40:07 EDT 2025 Fri Aug 22 20:25:40 EDT 2025 Sun Nov 09 11:15:48 EST 2025 Mon Jul 21 05:55:08 EDT 2025 Tue Nov 18 21:51:10 EST 2025 Thu Nov 20 00:54:04 EST 2025 Wed Dec 10 14:24:24 EST 2025 |
| IsDoiOpenAccess | true |
| IsOpenAccess | true |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 8 |
| Keywords | Mixed integer non-linear programming GAMS NSGA-II Pymoo CPLEX Sectorization Lingo Multi-objective optimization GA Python Pulp |
| Language | English |
| License | This is an open access article under the CC BY license. 2023 The Author(s). This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c596t-86d6fb8177e75f0a3c8ab8f368fbabb358846813e0c28297654a944685d973d03 |
| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
| ORCID | 0000-0002-0285-0266 |
| OpenAccessLink | https://doaj.org/article/d81eb0fa0c274b62a9f5705751b71f29 |
| PMID | 37576245 |
| PQID | 2850720345 |
| PQPubID | 23479 |
| ParticipantIDs | doaj_primary_oai_doaj_org_article_d81eb0fa0c274b62a9f5705751b71f29 pubmedcentral_primary_oai_pubmedcentral_nih_gov_10412777 proquest_miscellaneous_3153709875 proquest_miscellaneous_2850720345 pubmed_primary_37576245 crossref_citationtrail_10_1016_j_heliyon_2023_e18602 crossref_primary_10_1016_j_heliyon_2023_e18602 elsevier_sciencedirect_doi_10_1016_j_heliyon_2023_e18602 |
| PublicationCentury | 2000 |
| PublicationDate | 2023-08-01 |
| PublicationDateYYYYMMDD | 2023-08-01 |
| PublicationDate_xml | – month: 08 year: 2023 text: 2023-08-01 day: 01 |
| PublicationDecade | 2020 |
| PublicationPlace | England |
| PublicationPlace_xml | – name: England |
| PublicationTitle | Heliyon |
| PublicationTitleAlternate | Heliyon |
| PublicationYear | 2023 |
| Publisher | Elsevier Ltd Elsevier |
| Publisher_xml | – name: Elsevier Ltd – name: Elsevier |
| References | Miettinen (br0390) 2012 Lodi, Tramontani (br0020) 2013 Ehrgott (br0380) 2005 Kuo, Tzeng, Huang (br0430) 2007; 45 Trandac, Baptiste, Duong (br0280) 2005; 39 Wang, Chin, Luo (br0440) 2011; 38 Neumaier, Shcherbina, Huyer, Vinkó (br0030) 2005; 103 Mohammed, El Bekkaye (br0310) 2021 Tavakkoli-Moghaddam, Azarkish, Sadeghnejad-Barkousaraie (br0730) 2011; 38 Ishibuchi, Yoshida, Murata (br0750) 2003; 7 Teymourifar, Rodrigues, Ferreira (br0130) 2020 Magableh, Mistarihi (br0590) 2022; 8 Knowles (br0740) 2002 Romanciuc, Lopes, Teymourifar, Rodrigues, Ferreira, Oliveira, Öztürk (br0140) 2021 A. Luppold, D. Oehlert, H. Falk, Evaluating the performance of solvers for integer-linear programming, 2018. Shang, Yang, Barnes, Wu (br0460) 2022; 195 Wu, Wang, Yao, Kang, Zhang (br0600) 2019; 5 Haimes, Hall (br0550) 1974; 10 Salhi, Alsoufi, Yang (br0100) 2019; 272 Antunovic, Amiri, Biefel, Steinbock, Aulin, Liers, Gerstacker (br0330) 2021 Liu, Erdogan, Lin, Tsao (br0110) 2020; 140 Hajebi, Roshani, Cardozo, Barrett, Clarke, Clarke (br0500) 2015; 18 Juandi, Kusumah, Tamur, Perbowo, Wijaya (br0820) 2021; 7 P. Ambasth, N.M. Vali Mohamad, R. Jain, H. Subramaniyam, L. Muthukaruppan, S. Gautam, Dynamic sectorization and parallel processing for device-to-device (D2D) resource allocation in 5G and B5G cellular network, 2021. Benítez, Carpitella, Certa, Ilaya-Ayza, Izquierdo (br0520) 2018; 343 Asghari, Fathollahi-Fard, Mirzapour Al-e-hashem, Dulebenets (br0780) 2022; 10 Oktal, Yaman, Kasımbeyli (br0510) 2020; 73 Teymourifar, Rodrigues, Ferreira, Lopes, Oliveira, Romanciuc (br0180) 2021 Rios-Mercado, Escalante (br0240) 2016; 44 R.E. Steuer, Multiple criteria optimization. Theory, computation and applications, 1986. Deb, Agrawal, Pratap, Meyarivan (br0710) 2000 Stević, Pamučar, Puška, Chatterjee (br0450) 2020; 140 Ogryczak, Sliwinski (br0530) 2007 Blank, Deb (br0160) 2020; 8 Schuster, Hanson, Strimas-Mackey, Bennett (br0080) 2020; 8 Benayoun, De Montgolfier, Tergny, Laritchev (br0570) 1971; 1 Alves, Costa (br0630) 2009; 198 Gutiérrez-Mosquera, Arias-Giraldo, Zuluaga-Meza (br0790) 2022; 8 Ferreira, Fonseca, Gaspar-Cunha (br0650) 2007 Pawlak, Goel, Rothenberg, Brinton (br0260) 1998 De Assis, Franca, Usberti (br0220) 2014; 41 Ulusoy, Mahmoud, Pecci, Keedwell, Stoianov (br0340) 2022; 118914 Petchrompo, Wannakrairot, Parlikad (br0480) 2022; 297 Vafaei, Delgado-Gomes, Agostinho, Jardim-Goncalves (br0620) 2022; 214 E.S. Stein, P.S. Della Rocco, R.L. Sollenberger, Dynamic resectorization in air traffic control: a human factors perspective, 2005. Singh, Dhillon, Kothari (br0560) 2017; 138 Liberatore, Camacho-Collados, Vitoriano (br0230) 2020 Lin, Chin, Ma, Tsui (br0200) 2020; 291 Zhang, Yan, Zeng, Xin, Tao (br0350) 2019; 656 Liang (br0420) 1999; 112 Teymourifar, Rodrigues, Ferreira, Lopes (br0150) 2021 Zhou, Min, Gen (br0190) 2002; 43 Tang, Alam, Lokan, Abbass (br0290) 2012 Kulkarni, Ganesan, Sherry (br0360) 2011 Teymourifar (br0370) 2022 Guasque, Balbastre (br0070) 2022; 105 Aïder, Azzi, Hifi (br0770) 2023; 265 Ozturk, Bahadir, Teymourifar (br0800) 2019; 57 Bid, Siddique (br0580) 2019; 5 Teixeira, Romani, Cugnasca (br0300) 2007 Ghasemishabankareh, Ozlen, Li (br0660) 2019 Bennetto, van Vuuren (br0640) 2021; 8 Gil-García, Ramos-Escudero, García-Cascales, Dagher, Molina-García (br0470) 2022; 183 Praneetpholkrang, Kanjanawattana (br0540) 2021; 37 Ferland, Guénette (br0250) 1990; 38 Kronqvist, Bernal, Lundell, Grossmann (br0040) 2019; 20 Zitzler, Laumanns, Thiele (br0760) 2001; vol. 3242 Nair, Bartunov, Gimeno, Von Glehn, Lichocki, Lobov, Zwols (br0830) 2020 Tirkolaee, Goli, Weber (br0090) 2020; 28 Wichapa, Khokhajaikiat (br0120) 2017; 4 Teymourifar, Ozturk (br0840) 2018; 6 Teymourifar, Rodrigues, Ferreira (br0170) 2021 Taherdoost, Madanchian (br0410) 2023; 3 Wei, Surakitbanharn, Landry, Sun (br0490) 2012 Eusébio, Figueira (br0680) 2009; 199 Eusébio, Figueira (br0670) 2009; 36 Sudtachat, Mayorga, Chanta, Albert (br0210) 2020; 142 Costa, Mamede, da Silva (br0610) 2023; 9 Villano, Tran (br0810) 2021; 26 Koch, Berthold, Pedersen, Vanaret (br0010) 2022; 10 Nicoară (br0720) 2007; 59 Meindl, Templ (br0050) 2012 Mirjalili, Lewis (br0700) 2015; 21 Suresh, Mohanasundaram (br0690) 2006; 29 Ferland (10.1016/j.heliyon.2023.e18602_br0250) 1990; 38 Teymourifar (10.1016/j.heliyon.2023.e18602_br0840) 2018; 6 Ulusoy (10.1016/j.heliyon.2023.e18602_br0340) 2022; 118914 Ozturk (10.1016/j.heliyon.2023.e18602_br0800) 2019; 57 Kulkarni (10.1016/j.heliyon.2023.e18602_br0360) 2011 Stević (10.1016/j.heliyon.2023.e18602_br0450) 2020; 140 Gil-García (10.1016/j.heliyon.2023.e18602_br0470) 2022; 183 Pawlak (10.1016/j.heliyon.2023.e18602_br0260) 1998 Teymourifar (10.1016/j.heliyon.2023.e18602_br0170) 2021 Teymourifar (10.1016/j.heliyon.2023.e18602_br0180) 2021 Ehrgott (10.1016/j.heliyon.2023.e18602_br0380) 2005 De Assis (10.1016/j.heliyon.2023.e18602_br0220) 2014; 41 Kuo (10.1016/j.heliyon.2023.e18602_br0430) 2007; 45 Wichapa (10.1016/j.heliyon.2023.e18602_br0120) 2017; 4 Wu (10.1016/j.heliyon.2023.e18602_br0600) 2019; 5 Ferreira (10.1016/j.heliyon.2023.e18602_br0650) 2007 10.1016/j.heliyon.2023.e18602_br0270 Ogryczak (10.1016/j.heliyon.2023.e18602_br0530) 2007 Teymourifar (10.1016/j.heliyon.2023.e18602_br0370) 2022 Deb (10.1016/j.heliyon.2023.e18602_br0710) 2000 Aïder (10.1016/j.heliyon.2023.e18602_br0770) 2023; 265 Neumaier (10.1016/j.heliyon.2023.e18602_br0030) 2005; 103 Schuster (10.1016/j.heliyon.2023.e18602_br0080) 2020; 8 Koch (10.1016/j.heliyon.2023.e18602_br0010) 2022; 10 Meindl (10.1016/j.heliyon.2023.e18602_br0050) 2012 Liang (10.1016/j.heliyon.2023.e18602_br0420) 1999; 112 Miettinen (10.1016/j.heliyon.2023.e18602_br0390) 2012 Salhi (10.1016/j.heliyon.2023.e18602_br0100) 2019; 272 Taherdoost (10.1016/j.heliyon.2023.e18602_br0410) 2023; 3 Nair (10.1016/j.heliyon.2023.e18602_br0830) Ishibuchi (10.1016/j.heliyon.2023.e18602_br0750) 2003; 7 Benítez (10.1016/j.heliyon.2023.e18602_br0520) 2018; 343 Bid (10.1016/j.heliyon.2023.e18602_br0580) 2019; 5 Ghasemishabankareh (10.1016/j.heliyon.2023.e18602_br0660) 2019 Trandac (10.1016/j.heliyon.2023.e18602_br0280) 2005; 39 Shang (10.1016/j.heliyon.2023.e18602_br0460) 2022; 195 Rios-Mercado (10.1016/j.heliyon.2023.e18602_br0240) 2016; 44 Hajebi (10.1016/j.heliyon.2023.e18602_br0500) 2015; 18 Vafaei (10.1016/j.heliyon.2023.e18602_br0620) 2022; 214 Tirkolaee (10.1016/j.heliyon.2023.e18602_br0090) 2020; 28 Alves (10.1016/j.heliyon.2023.e18602_br0630) 2009; 198 Singh (10.1016/j.heliyon.2023.e18602_br0560) 2017; 138 Mohammed (10.1016/j.heliyon.2023.e18602_br0310) 2021 Zhang (10.1016/j.heliyon.2023.e18602_br0350) 2019; 656 10.1016/j.heliyon.2023.e18602_br0400 Gutiérrez-Mosquera (10.1016/j.heliyon.2023.e18602_br0790) 2022; 8 Petchrompo (10.1016/j.heliyon.2023.e18602_br0480) 2022; 297 Sudtachat (10.1016/j.heliyon.2023.e18602_br0210) 2020; 142 Bennetto (10.1016/j.heliyon.2023.e18602_br0640) 2021; 8 Villano (10.1016/j.heliyon.2023.e18602_br0810) 2021; 26 10.1016/j.heliyon.2023.e18602_br0320 Kronqvist (10.1016/j.heliyon.2023.e18602_br0040) 2019; 20 Benayoun (10.1016/j.heliyon.2023.e18602_br0570) 1971; 1 Guasque (10.1016/j.heliyon.2023.e18602_br0070) 2022; 105 Juandi (10.1016/j.heliyon.2023.e18602_br0820) 2021; 7 Wang (10.1016/j.heliyon.2023.e18602_br0440) 2011; 38 Romanciuc (10.1016/j.heliyon.2023.e18602_br0140) 2021 Liu (10.1016/j.heliyon.2023.e18602_br0110) 2020; 140 Zhou (10.1016/j.heliyon.2023.e18602_br0190) 2002; 43 Mirjalili (10.1016/j.heliyon.2023.e18602_br0700) 2015; 21 Oktal (10.1016/j.heliyon.2023.e18602_br0510) 2020; 73 Suresh (10.1016/j.heliyon.2023.e18602_br0690) 2006; 29 Liberatore (10.1016/j.heliyon.2023.e18602_br0230) 2020 Eusébio (10.1016/j.heliyon.2023.e18602_br0680) 2009; 199 Asghari (10.1016/j.heliyon.2023.e18602_br0780) 2022; 10 Praneetpholkrang (10.1016/j.heliyon.2023.e18602_br0540) 2021; 37 Antunovic (10.1016/j.heliyon.2023.e18602_br0330) 2021 Teixeira (10.1016/j.heliyon.2023.e18602_br0300) 2007 Tavakkoli-Moghaddam (10.1016/j.heliyon.2023.e18602_br0730) 2011; 38 Knowles (10.1016/j.heliyon.2023.e18602_br0740) 2002 Blank (10.1016/j.heliyon.2023.e18602_br0160) 2020; 8 Teymourifar (10.1016/j.heliyon.2023.e18602_br0150) 2021 Teymourifar (10.1016/j.heliyon.2023.e18602_br0130) 2020 Lin (10.1016/j.heliyon.2023.e18602_br0200) 2020; 291 Tang (10.1016/j.heliyon.2023.e18602_br0290) 2012 Haimes (10.1016/j.heliyon.2023.e18602_br0550) 1974; 10 10.1016/j.heliyon.2023.e18602_br0060 Magableh (10.1016/j.heliyon.2023.e18602_br0590) 2022; 8 Costa (10.1016/j.heliyon.2023.e18602_br0610) 2023; 9 Lodi (10.1016/j.heliyon.2023.e18602_br0020) 2013 Nicoară (10.1016/j.heliyon.2023.e18602_br0720) 2007; 59 Eusébio (10.1016/j.heliyon.2023.e18602_br0670) 2009; 36 Zitzler (10.1016/j.heliyon.2023.e18602_br0760) 2001; vol. 3242 Wei (10.1016/j.heliyon.2023.e18602_br0490) 2012 |
| References_xml | – volume: 140 start-page: 62 year: 2020 end-page: 65 ident: br0110 article-title: Mathematical models of political districting for more representative governments publication-title: Comput. Ind. Eng. – start-page: 12 year: 2012 ident: br0390 article-title: Nonlinear Multiobjective Optimization – volume: 214 start-page: 809 year: 2022 end-page: 816 ident: br0620 article-title: Analysis of data normalization in decision making process for ICU's patients during the pandemic publication-title: Proc. Comput. Sci. – volume: 26 start-page: 110 year: 2021 end-page: 135 ident: br0810 article-title: Survey on technical efficiency in higher education: a meta-fractional regression analysis publication-title: Pac. Econ. Rev. – start-page: 148 year: 2021 end-page: 159 ident: br0180 article-title: A two-stage method to solve location-routing problems based on sectorization publication-title: International Conference Innovation in Engineering – volume: 38 start-page: 10312 year: 2011 end-page: 10319 ident: br0440 article-title: Cross-efficiency evaluation based on ideal and anti-ideal decision making units publication-title: Expert Syst. Appl. – start-page: 185 year: 2021 end-page: 196 ident: br0140 article-title: An integer programming approach to sectorization with compactness and equilibrium constraints publication-title: Innovations in Industrial Engineering – volume: 20 start-page: 397 year: 2019 end-page: 455 ident: br0040 article-title: A review and comparison of solvers for convex MINLP publication-title: Optim. Eng. – volume: 4 start-page: 39 year: 2017 end-page: 48 ident: br0120 article-title: Solving multi-objective facility location problem using the fuzzy analytical hierarchy process and goal programming: a case study on infectious waste disposal centers publication-title: Oper. Res. Perspect. – volume: 112 start-page: 682 year: 1999 end-page: 691 ident: br0420 article-title: Fuzzy MCDM based on ideal and anti-ideal concepts publication-title: Eur. J. Oper. Res. – reference: P. Ambasth, N.M. Vali Mohamad, R. Jain, H. Subramaniyam, L. Muthukaruppan, S. Gautam, Dynamic sectorization and parallel processing for device-to-device (D2D) resource allocation in 5G and B5G cellular network, 2021. – volume: 8 year: 2022 ident: br0590 article-title: Applications of MCDM approach (ANP-TOPSIS) to evaluate supply chain solutions in the context of COVID-19 publication-title: Heliyon – volume: 7 year: 2021 ident: br0820 article-title: A meta-analysis of Geogebra software decade of assisted mathematics learning: what to learn and where to go? publication-title: Heliyon – start-page: 229 year: 2021 end-page: 250 ident: br0310 article-title: Fuzzy dynamic airspace sectorization problem publication-title: Machine Intelligence and Data Analytics for Sustainable Future Smart Cities – year: 2007 ident: br0300 article-title: Analysis of the impact of the use of the dynamic resectorization in air traffic control workload by computational simulations publication-title: Air Transport Research – volume: 28 start-page: 2772 year: 2020 end-page: 2783 ident: br0090 article-title: Fuzzy mathematical programming and self-adaptive artificial fish swarm algorithm for just-in-time energy-aware flow shop scheduling problem with outsourcing option publication-title: IEEE Trans. Fuzzy Syst. – volume: 3 start-page: 77 year: 2023 end-page: 87 ident: br0410 article-title: Multi-criteria decision making (MCDM) methods and concepts publication-title: Encyclopedia – start-page: 20 year: 2012 ident: br0050 article-title: Analysis of commercial and free and open source solvers for linear optimization problems publication-title: Eurostat and Statistics Netherlands within the project ESSnet on common tools and harmonised methodology for SDC in the ESS – volume: 21 start-page: 1 year: 2015 end-page: 23 ident: br0700 article-title: Novel performance metrics for robust multi-objective optimization algorithms publication-title: Swarm Evol. Comput. – volume: 8 year: 2020 ident: br0080 article-title: Exact integer linear programming solvers outperform simulated annealing for solving conservation planning problems publication-title: PeerJ – start-page: 1 year: 2022 end-page: 20 ident: br0370 article-title: Simulation-based optimization for resectorization in healthcare systems publication-title: J. Simul. – volume: 18 start-page: 77 year: 2015 end-page: 95 ident: br0500 article-title: Water distribution network sectorisation using graph theory and many-objective optimisation publication-title: J. Hydroinform. – start-page: 40 year: 2021 end-page: 50 ident: br0150 article-title: A comparison between optimization tools to solve sectorization problem publication-title: International Conference on Modelling, Computation and Optimization in Information Systems and Management Sciences – volume: 6 start-page: 1 year: 2018 end-page: 16 ident: br0840 article-title: A neural network-based hybrid method to generate feasible neighbors for flexible job shop scheduling problem publication-title: Univers. J. Appl. Math. – volume: 138 start-page: 1112 year: 2017 end-page: 1123 ident: br0560 article-title: Surrogate worth trade-off method for multi-objective thermal power load dispatch publication-title: Energy – volume: 43 start-page: 251 year: 2002 end-page: 261 ident: br0190 article-title: The balanced allocation of customers to multiple distribution centers in the supply chain network: a genetic algorithm approach publication-title: Comput. Ind. Eng. – start-page: 789 year: 2007 end-page: 796 ident: br0650 article-title: Methodology to select solutions from the Pareto-optimal set: a comparative study publication-title: Proceedings of the 9th Annual Conference on Genetic and Evolutionary Computation – start-page: 251 year: 2021 end-page: 263 ident: br0170 article-title: A comparison between simultaneous and hierarchical approaches to solve a multi-objective location-routing problem publication-title: Graphs and Combinatorial Optimization: from Theory to Applications – volume: 272 start-page: 69 year: 2019 end-page: 98 ident: br0100 article-title: An evolutionary approach to a combined mixed integer programming model of seaside operations as arise in container ports publication-title: Ann. Oper. Res. – start-page: 1 year: 2013 end-page: 12 ident: br0020 article-title: Performance variability in mixed-integer programming publication-title: Theory Driven by Influential Applications – volume: 297 start-page: 203 year: 2022 end-page: 220 ident: br0480 article-title: Pruning Pareto optimal solutions for multi-objective portfolio asset management publication-title: Eur. J. Oper. Res. – volume: 142 year: 2020 ident: br0210 article-title: Joint reallocation and districting using a nested compliance model for EMS systems publication-title: Comput. Ind. Eng. – volume: 199 start-page: 68 year: 2009 end-page: 76 ident: br0680 article-title: On the computation of all supported efficient solutions in multi-objective integer network flow problems publication-title: Eur. J. Oper. Res. – volume: 29 start-page: 184 year: 2006 end-page: 196 ident: br0690 article-title: Pareto archived simulated annealing for job shop scheduling with multiple objectives publication-title: Int. J. Adv. Manuf. Technol. – volume: 73 start-page: 599 year: 2020 end-page: 612 ident: br0510 article-title: A mathematical programming approach to optimum airspace sectorisation problem publication-title: J. Navig. – volume: 45 start-page: 324 year: 2007 end-page: 339 ident: br0430 article-title: Group decision-making based on concepts of ideal and anti-ideal points in a fuzzy environment publication-title: Math. Comput. Model. – start-page: 22 year: 2007 end-page: 25 ident: br0530 article-title: Lexicographic max-min optimization for efficient and fair bandwidth allocation publication-title: International Network Optimization Conference (INOC) – start-page: N2-1 year: 2012 ident: br0490 article-title: Workload evaluation of sectorized air traffic control and stream management publication-title: 2012 Integrated Communications, Navigation and Surveillance Conference – volume: 1 start-page: 366 year: 1971 end-page: 375 ident: br0570 article-title: Linear programming with multiple objective functions: step method (STEM) publication-title: Math. Program. – volume: 8 year: 2021 ident: br0640 article-title: Multi-objective evolutionary search strategies in constraint programming publication-title: Oper. Res. Perspect. – volume: 105 start-page: 1726 year: 2022 end-page: 1733 ident: br0070 article-title: Evaluation and comparison of integer programming solvers for hard real-time scheduling publication-title: IEICE Trans. Inf. Syst. – volume: 44 start-page: 102 year: 2016 end-page: 113 ident: br0240 article-title: Grasp with path relinking for commercial districting publication-title: Expert Syst. Appl. – volume: 36 start-page: 2554 year: 2009 end-page: 2564 ident: br0670 article-title: Finding non-dominated solutions in bi-objective integer network flow problems publication-title: Comput. Oper. Res. – volume: 7 start-page: 204 year: 2003 end-page: 223 ident: br0750 article-title: Balance between genetic search and local search in memetic algorithms for multiobjective permutation flowshop scheduling publication-title: IEEE Trans. Evol. Comput. – start-page: 1 year: 2012 end-page: 8 ident: br0290 article-title: A multi-objective evolutionary method for dynamic airspace re-sectorization using sectors clipping and similarities publication-title: 2012 IEEE Congress on Evolutionary Computation – volume: 198 start-page: 637 year: 2009 end-page: 646 ident: br0630 article-title: An exact method for computing the nadir values in multiple objective linear programming publication-title: Eur. J. Oper. Res. – year: 2005 ident: br0380 article-title: Multicriteria Optimization – volume: 118914 year: 2022 ident: br0340 article-title: Bi-objective design-for-control for improving the pressure management and resilience of water distribution networks publication-title: Water Res. – volume: 291 start-page: 499 year: 2020 end-page: 529 ident: br0200 article-title: A comprehensive multiobjective mixed integer nonlinear programming model for an integrated elderly care service districting problem publication-title: Ann. Oper. Res. – volume: 103 start-page: 335 year: 2005 end-page: 356 ident: br0030 article-title: A comparison of complete global optimization solvers publication-title: Math. Program. – volume: 343 start-page: 98 year: 2018 end-page: 112 ident: br0520 article-title: Consistent clustering of entries in large pairwise comparison matrices publication-title: J. Comput. Appl. Math. – start-page: 849 year: 2000 end-page: 858 ident: br0710 article-title: A fast elitist non-dominated sorting genetic algorithm for multi-objective optimization: NSGA-II publication-title: International Conference on Parallel Problem Solving from Nature – volume: 8 start-page: 89497 year: 2020 end-page: 89509 ident: br0160 article-title: Pymoo: multi-objective optimization in python publication-title: IEEE Access – volume: 37 start-page: 149 year: 2021 end-page: 156 ident: br0540 article-title: A multi-objective optimization model for shelter location-allocation in response to humanitarian relief logistics publication-title: Asian J. Shipp. Logist. – volume: 41 start-page: 65 year: 2014 end-page: 75 ident: br0220 article-title: A redistricting problem applied to meter reading in power distribution networks publication-title: Comput. Oper. Res. – start-page: 70 year: 2021 end-page: 75 ident: br0330 article-title: Dynamic sectorization in multi-panel massive MIMO systems publication-title: 2021 IEEE 4th 5G World Forum (5GWF) – volume: 5 year: 2019 ident: br0580 article-title: Human risk assessment of Panchet dam in India using TOPSIS and WASPAS multi-criteria decision-making (MCDM) methods publication-title: Heliyon – volume: 140 year: 2020 ident: br0450 article-title: Sustainable supplier selection in healthcare industries using a new MCDM method: measurement of alternatives and ranking according to COmpromise solution (MARCOS) publication-title: Comput. Ind. Eng. – volume: 59 start-page: 19 year: 2007 end-page: 28 ident: br0720 article-title: Performance measures for multi-objective optimization algorithms publication-title: Bul. Univ. Petrol-Gaze Ploieşti, Ser. Mat. Inform. Fiz. – volume: 183 start-page: 130 year: 2022 end-page: 147 ident: br0470 article-title: Fuzzy GIS-based MCDM solution for the optimal offshore wind site selection: the Gulf of Maine case publication-title: Renew. Energy – volume: 57 start-page: 3121 year: 2019 end-page: 3137 ident: br0800 article-title: Extracting priority rules for dynamic multi-objective flexible job shop scheduling problems using gene expression programming publication-title: Int. J. Prod. Res. – volume: 9 year: 2023 ident: br0610 article-title: A method for selecting processes for automation with AHP and TOPSIS publication-title: Heliyon – volume: 10 year: 2022 ident: br0010 article-title: Progress in mathematical programming solvers from 2001 to 2020 publication-title: EURO J. Comput. Optim. – start-page: 541 year: 2019 end-page: 552 ident: br0660 article-title: NSGA-II for solving multiobjective integer minimum cost flow problem with probabilistic tree-based representation publication-title: International Conference on Evolutionary Multi-Criterion Optimization – reference: E.S. Stein, P.S. Della Rocco, R.L. Sollenberger, Dynamic resectorization in air traffic control: a human factors perspective, 2005. – volume: 38 start-page: 10812 year: 2011 end-page: 10821 ident: br0730 article-title: A new hybrid multi-objective Pareto archive pso algorithm for a bi-objective job shop scheduling problem publication-title: Expert Syst. Appl. – volume: 38 start-page: 15 year: 1990 end-page: 21 ident: br0250 article-title: Decision support system for the school districting problem publication-title: Oper. Res. – volume: 265 year: 2023 ident: br0770 article-title: The publication-title: Knowl.-Based Syst. – volume: 656 start-page: 1401 year: 2019 end-page: 1412 ident: br0350 article-title: A practical multi-objective optimization sectorization method for water distribution network publication-title: Sci. Total Environ. – year: 2020 ident: br0830 article-title: Solving mixed integer programs using neural networks – volume: vol. 3242 start-page: 95 year: 2001 end-page: 100 ident: br0760 article-title: SPEA2: improving the strength Pareto evolutionary algorithm publication-title: Eurogen – volume: 195 year: 2022 ident: br0460 article-title: Supplier selection in sustainable supply chains: using the integrated BWM, fuzzy Shannon entropy, and fuzzy MULTIMOORA methods publication-title: Expert Syst. Appl. – volume: 8 year: 2022 ident: br0790 article-title: Landfill leachate treatment using hydrodynamic cavitation: exploratory evaluation publication-title: Heliyon – start-page: 4106 year: 1998 ident: br0260 article-title: Comparison of algorithms for the dynamic resectorization of airspace publication-title: Guidance, Navigation, and Control Conference and Exhibit – volume: 10 start-page: 283 year: 2022 ident: br0780 article-title: Transformation and linearization techniques in optimization: a state-of-the-art survey publication-title: Mathematics – start-page: 9 year: 2020 end-page: 29 ident: br0230 article-title: Police districting problem: literature review and annotated bibliography publication-title: Optimal Districting and Territory Design – volume: 10 start-page: 615 year: 1974 end-page: 624 ident: br0550 article-title: Multiobjectives in water resource systems analysis: the surrogate worth trade off method publication-title: Water Resour. Res. – volume: 5 year: 2019 ident: br0600 article-title: Comprehensive evaluation of voltage stability based on EW-AHP and fuzzy-TOPSIS publication-title: Heliyon – start-page: 64 year: 2020 end-page: 74 ident: br0130 article-title: A comparison between NSGA-II and NSGA-III to solve multi-objective sectorization problems based on statistical parameter tuning publication-title: 2020 24th International Conference on Circuits, Systems, Communications and Computers (CSCC) – year: 2011 ident: br0360 article-title: Static sectorization approach to dynamic airspace configuration using approximate dynamic programming publication-title: 2011 Integrated Communications, Navigation, and Surveillance Conference Proceedings, IEEE, (J2-1) – volume: 39 start-page: 105 year: 2005 end-page: 122 ident: br0280 article-title: Airspace sectorization with constraints publication-title: RAIRO. Rech. Opér. – year: 2002 ident: br0740 article-title: Local-search and hybrid evolutionary algorithms for Pareto optimization – reference: A. Luppold, D. Oehlert, H. Falk, Evaluating the performance of solvers for integer-linear programming, 2018. – reference: R.E. Steuer, Multiple criteria optimization. Theory, computation and applications, 1986. – start-page: 70 year: 2021 ident: 10.1016/j.heliyon.2023.e18602_br0330 article-title: Dynamic sectorization in multi-panel massive MIMO systems – ident: 10.1016/j.heliyon.2023.e18602_br0830 – volume: 140 start-page: 62 year: 2020 ident: 10.1016/j.heliyon.2023.e18602_br0110 article-title: Mathematical models of political districting for more representative governments publication-title: Comput. Ind. Eng. doi: 10.1016/j.cie.2019.106265 – start-page: 251 year: 2021 ident: 10.1016/j.heliyon.2023.e18602_br0170 article-title: A comparison between simultaneous and hierarchical approaches to solve a multi-objective location-routing problem – volume: 10 start-page: 283 issue: 2 year: 2022 ident: 10.1016/j.heliyon.2023.e18602_br0780 article-title: Transformation and linearization techniques in optimization: a state-of-the-art survey publication-title: Mathematics doi: 10.3390/math10020283 – volume: 8 year: 2020 ident: 10.1016/j.heliyon.2023.e18602_br0080 article-title: Exact integer linear programming solvers outperform simulated annealing for solving conservation planning problems publication-title: PeerJ doi: 10.7717/peerj.9258 – year: 2011 ident: 10.1016/j.heliyon.2023.e18602_br0360 article-title: Static sectorization approach to dynamic airspace configuration using approximate dynamic programming – volume: 140 year: 2020 ident: 10.1016/j.heliyon.2023.e18602_br0450 article-title: Sustainable supplier selection in healthcare industries using a new MCDM method: measurement of alternatives and ranking according to COmpromise solution (MARCOS) publication-title: Comput. Ind. Eng. doi: 10.1016/j.cie.2019.106231 – volume: 21 start-page: 1 year: 2015 ident: 10.1016/j.heliyon.2023.e18602_br0700 article-title: Novel performance metrics for robust multi-objective optimization algorithms publication-title: Swarm Evol. Comput. doi: 10.1016/j.swevo.2014.10.005 – volume: 7 start-page: 204 issue: 2 year: 2003 ident: 10.1016/j.heliyon.2023.e18602_br0750 article-title: Balance between genetic search and local search in memetic algorithms for multiobjective permutation flowshop scheduling publication-title: IEEE Trans. Evol. Comput. doi: 10.1109/TEVC.2003.810752 – volume: 214 start-page: 809 year: 2022 ident: 10.1016/j.heliyon.2023.e18602_br0620 article-title: Analysis of data normalization in decision making process for ICU's patients during the pandemic publication-title: Proc. Comput. Sci. doi: 10.1016/j.procs.2022.11.245 – volume: 59 start-page: 19 issue: 1 year: 2007 ident: 10.1016/j.heliyon.2023.e18602_br0720 article-title: Performance measures for multi-objective optimization algorithms publication-title: Bul. Univ. Petrol-Gaze Ploieşti, Ser. Mat. Inform. Fiz. – start-page: 185 year: 2021 ident: 10.1016/j.heliyon.2023.e18602_br0140 article-title: An integer programming approach to sectorization with compactness and equilibrium constraints – volume: 38 start-page: 10312 issue: 8 year: 2011 ident: 10.1016/j.heliyon.2023.e18602_br0440 article-title: Cross-efficiency evaluation based on ideal and anti-ideal decision making units publication-title: Expert Syst. Appl. doi: 10.1016/j.eswa.2011.02.116 – start-page: 229 year: 2021 ident: 10.1016/j.heliyon.2023.e18602_br0310 article-title: Fuzzy dynamic airspace sectorization problem – start-page: 1 year: 2012 ident: 10.1016/j.heliyon.2023.e18602_br0290 article-title: A multi-objective evolutionary method for dynamic airspace re-sectorization using sectors clipping and similarities – start-page: 1 year: 2022 ident: 10.1016/j.heliyon.2023.e18602_br0370 article-title: Simulation-based optimization for resectorization in healthcare systems publication-title: J. Simul. – year: 2005 ident: 10.1016/j.heliyon.2023.e18602_br0380 – start-page: 541 year: 2019 ident: 10.1016/j.heliyon.2023.e18602_br0660 article-title: NSGA-II for solving multiobjective integer minimum cost flow problem with probabilistic tree-based representation – volume: 5 issue: 6 year: 2019 ident: 10.1016/j.heliyon.2023.e18602_br0580 article-title: Human risk assessment of Panchet dam in India using TOPSIS and WASPAS multi-criteria decision-making (MCDM) methods publication-title: Heliyon doi: 10.1016/j.heliyon.2019.e01956 – volume: 57 start-page: 3121 issue: 10 year: 2019 ident: 10.1016/j.heliyon.2023.e18602_br0800 article-title: Extracting priority rules for dynamic multi-objective flexible job shop scheduling problems using gene expression programming publication-title: Int. J. Prod. Res. doi: 10.1080/00207543.2018.1543964 – volume: 118914 year: 2022 ident: 10.1016/j.heliyon.2023.e18602_br0340 article-title: Bi-objective design-for-control for improving the pressure management and resilience of water distribution networks publication-title: Water Res. – volume: 4 start-page: 39 year: 2017 ident: 10.1016/j.heliyon.2023.e18602_br0120 article-title: Solving multi-objective facility location problem using the fuzzy analytical hierarchy process and goal programming: a case study on infectious waste disposal centers publication-title: Oper. Res. Perspect. – volume: vol. 3242 start-page: 95 year: 2001 ident: 10.1016/j.heliyon.2023.e18602_br0760 article-title: SPEA2: improving the strength Pareto evolutionary algorithm – volume: 29 start-page: 184 issue: 1–2 year: 2006 ident: 10.1016/j.heliyon.2023.e18602_br0690 article-title: Pareto archived simulated annealing for job shop scheduling with multiple objectives publication-title: Int. J. Adv. Manuf. Technol. doi: 10.1007/s00170-004-2492-x – start-page: 40 year: 2021 ident: 10.1016/j.heliyon.2023.e18602_br0150 article-title: A comparison between optimization tools to solve sectorization problem – start-page: 148 year: 2021 ident: 10.1016/j.heliyon.2023.e18602_br0180 article-title: A two-stage method to solve location-routing problems based on sectorization – volume: 183 start-page: 130 year: 2022 ident: 10.1016/j.heliyon.2023.e18602_br0470 article-title: Fuzzy GIS-based MCDM solution for the optimal offshore wind site selection: the Gulf of Maine case publication-title: Renew. Energy doi: 10.1016/j.renene.2021.10.058 – volume: 8 issue: 3 year: 2022 ident: 10.1016/j.heliyon.2023.e18602_br0590 article-title: Applications of MCDM approach (ANP-TOPSIS) to evaluate supply chain solutions in the context of COVID-19 publication-title: Heliyon doi: 10.1016/j.heliyon.2022.e09062 – volume: 8 issue: 3 year: 2022 ident: 10.1016/j.heliyon.2023.e18602_br0790 article-title: Landfill leachate treatment using hydrodynamic cavitation: exploratory evaluation publication-title: Heliyon doi: 10.1016/j.heliyon.2022.e09019 – volume: 142 year: 2020 ident: 10.1016/j.heliyon.2023.e18602_br0210 article-title: Joint reallocation and districting using a nested compliance model for EMS systems publication-title: Comput. Ind. Eng. doi: 10.1016/j.cie.2020.106327 – volume: 28 start-page: 2772 issue: 11 year: 2020 ident: 10.1016/j.heliyon.2023.e18602_br0090 article-title: Fuzzy mathematical programming and self-adaptive artificial fish swarm algorithm for just-in-time energy-aware flow shop scheduling problem with outsourcing option publication-title: IEEE Trans. Fuzzy Syst. doi: 10.1109/TFUZZ.2020.2998174 – volume: 39 start-page: 105 issue: 2 year: 2005 ident: 10.1016/j.heliyon.2023.e18602_br0280 article-title: Airspace sectorization with constraints publication-title: RAIRO. Rech. Opér. doi: 10.1051/ro:2005005 – volume: 37 start-page: 149 issue: 2 year: 2021 ident: 10.1016/j.heliyon.2023.e18602_br0540 article-title: A multi-objective optimization model for shelter location-allocation in response to humanitarian relief logistics publication-title: Asian J. Shipp. Logist. doi: 10.1016/j.ajsl.2021.01.003 – start-page: 64 year: 2020 ident: 10.1016/j.heliyon.2023.e18602_br0130 article-title: A comparison between NSGA-II and NSGA-III to solve multi-objective sectorization problems based on statistical parameter tuning – volume: 1 start-page: 366 issue: 1 year: 1971 ident: 10.1016/j.heliyon.2023.e18602_br0570 article-title: Linear programming with multiple objective functions: step method (STEM) publication-title: Math. Program. doi: 10.1007/BF01584098 – volume: 45 start-page: 324 issue: 3–4 year: 2007 ident: 10.1016/j.heliyon.2023.e18602_br0430 article-title: Group decision-making based on concepts of ideal and anti-ideal points in a fuzzy environment publication-title: Math. Comput. Model. doi: 10.1016/j.mcm.2006.05.006 – volume: 20 start-page: 397 year: 2019 ident: 10.1016/j.heliyon.2023.e18602_br0040 article-title: A review and comparison of solvers for convex MINLP publication-title: Optim. Eng. doi: 10.1007/s11081-018-9411-8 – ident: 10.1016/j.heliyon.2023.e18602_br0400 – volume: 7 issue: 5 year: 2021 ident: 10.1016/j.heliyon.2023.e18602_br0820 article-title: A meta-analysis of Geogebra software decade of assisted mathematics learning: what to learn and where to go? publication-title: Heliyon doi: 10.1016/j.heliyon.2021.e06953 – volume: 10 start-page: 615 issue: 4 year: 1974 ident: 10.1016/j.heliyon.2023.e18602_br0550 article-title: Multiobjectives in water resource systems analysis: the surrogate worth trade off method publication-title: Water Resour. Res. doi: 10.1029/WR010i004p00615 – start-page: 849 year: 2000 ident: 10.1016/j.heliyon.2023.e18602_br0710 article-title: A fast elitist non-dominated sorting genetic algorithm for multi-objective optimization: NSGA-II – volume: 265 year: 2023 ident: 10.1016/j.heliyon.2023.e18602_br0770 article-title: The ϵ-constraint as a learning strategy in the population-based algorithm: the case of bi-objective obnoxious p-median problems publication-title: Knowl.-Based Syst. doi: 10.1016/j.knosys.2023.110363 – volume: 112 start-page: 682 issue: 3 year: 1999 ident: 10.1016/j.heliyon.2023.e18602_br0420 article-title: Fuzzy MCDM based on ideal and anti-ideal concepts publication-title: Eur. J. Oper. Res. doi: 10.1016/S0377-2217(97)00410-4 – volume: 9 issue: 3 year: 2023 ident: 10.1016/j.heliyon.2023.e18602_br0610 article-title: A method for selecting processes for automation with AHP and TOPSIS publication-title: Heliyon doi: 10.1016/j.heliyon.2023.e13683 – start-page: 20 year: 2012 ident: 10.1016/j.heliyon.2023.e18602_br0050 article-title: Analysis of commercial and free and open source solvers for linear optimization problems – volume: 8 year: 2021 ident: 10.1016/j.heliyon.2023.e18602_br0640 article-title: Multi-objective evolutionary search strategies in constraint programming publication-title: Oper. Res. Perspect. – volume: 8 start-page: 89497 year: 2020 ident: 10.1016/j.heliyon.2023.e18602_br0160 article-title: Pymoo: multi-objective optimization in python publication-title: IEEE Access doi: 10.1109/ACCESS.2020.2990567 – volume: 272 start-page: 69 year: 2019 ident: 10.1016/j.heliyon.2023.e18602_br0100 article-title: An evolutionary approach to a combined mixed integer programming model of seaside operations as arise in container ports publication-title: Ann. Oper. Res. doi: 10.1007/s10479-017-2539-7 – volume: 18 start-page: 77 issue: 1 year: 2015 ident: 10.1016/j.heliyon.2023.e18602_br0500 article-title: Water distribution network sectorisation using graph theory and many-objective optimisation publication-title: J. Hydroinform. doi: 10.2166/hydro.2015.144 – volume: 38 start-page: 15 year: 1990 ident: 10.1016/j.heliyon.2023.e18602_br0250 article-title: Decision support system for the school districting problem publication-title: Oper. Res. doi: 10.1287/opre.38.1.15 – ident: 10.1016/j.heliyon.2023.e18602_br0060 – volume: 10 year: 2022 ident: 10.1016/j.heliyon.2023.e18602_br0010 article-title: Progress in mathematical programming solvers from 2001 to 2020 publication-title: EURO J. Comput. Optim. doi: 10.1016/j.ejco.2022.100031 – volume: 36 start-page: 2554 issue: 9 year: 2009 ident: 10.1016/j.heliyon.2023.e18602_br0670 article-title: Finding non-dominated solutions in bi-objective integer network flow problems publication-title: Comput. Oper. Res. doi: 10.1016/j.cor.2008.11.001 – start-page: 22 year: 2007 ident: 10.1016/j.heliyon.2023.e18602_br0530 article-title: Lexicographic max-min optimization for efficient and fair bandwidth allocation – start-page: 1 year: 2013 ident: 10.1016/j.heliyon.2023.e18602_br0020 article-title: Performance variability in mixed-integer programming – volume: 38 start-page: 10812 issue: 9 year: 2011 ident: 10.1016/j.heliyon.2023.e18602_br0730 article-title: A new hybrid multi-objective Pareto archive pso algorithm for a bi-objective job shop scheduling problem publication-title: Expert Syst. Appl. doi: 10.1016/j.eswa.2011.02.050 – volume: 44 start-page: 102 year: 2016 ident: 10.1016/j.heliyon.2023.e18602_br0240 article-title: Grasp with path relinking for commercial districting publication-title: Expert Syst. Appl. doi: 10.1016/j.eswa.2015.09.019 – start-page: 9 year: 2020 ident: 10.1016/j.heliyon.2023.e18602_br0230 article-title: Police districting problem: literature review and annotated bibliography – volume: 26 start-page: 110 issue: 1 year: 2021 ident: 10.1016/j.heliyon.2023.e18602_br0810 article-title: Survey on technical efficiency in higher education: a meta-fractional regression analysis publication-title: Pac. Econ. Rev. doi: 10.1111/1468-0106.12310 – volume: 297 start-page: 203 issue: 1 year: 2022 ident: 10.1016/j.heliyon.2023.e18602_br0480 article-title: Pruning Pareto optimal solutions for multi-objective portfolio asset management publication-title: Eur. J. Oper. Res. doi: 10.1016/j.ejor.2021.04.053 – volume: 198 start-page: 637 issue: 2 year: 2009 ident: 10.1016/j.heliyon.2023.e18602_br0630 article-title: An exact method for computing the nadir values in multiple objective linear programming publication-title: Eur. J. Oper. Res. doi: 10.1016/j.ejor.2008.10.003 – start-page: N2-1 year: 2012 ident: 10.1016/j.heliyon.2023.e18602_br0490 article-title: Workload evaluation of sectorized air traffic control and stream management – volume: 41 start-page: 65 year: 2014 ident: 10.1016/j.heliyon.2023.e18602_br0220 article-title: A redistricting problem applied to meter reading in power distribution networks publication-title: Comput. Oper. Res. doi: 10.1016/j.cor.2013.08.002 – year: 2007 ident: 10.1016/j.heliyon.2023.e18602_br0300 article-title: Analysis of the impact of the use of the dynamic resectorization in air traffic control workload by computational simulations – start-page: 789 year: 2007 ident: 10.1016/j.heliyon.2023.e18602_br0650 article-title: Methodology to select solutions from the Pareto-optimal set: a comparative study – volume: 199 start-page: 68 issue: 1 year: 2009 ident: 10.1016/j.heliyon.2023.e18602_br0680 article-title: On the computation of all supported efficient solutions in multi-objective integer network flow problems publication-title: Eur. J. Oper. Res. doi: 10.1016/j.ejor.2008.10.031 – volume: 656 start-page: 1401 year: 2019 ident: 10.1016/j.heliyon.2023.e18602_br0350 article-title: A practical multi-objective optimization sectorization method for water distribution network publication-title: Sci. Total Environ. doi: 10.1016/j.scitotenv.2018.11.273 – volume: 105 start-page: 1726 issue: 10 year: 2022 ident: 10.1016/j.heliyon.2023.e18602_br0070 article-title: Evaluation and comparison of integer programming solvers for hard real-time scheduling publication-title: IEICE Trans. Inf. Syst. doi: 10.1587/transinf.2022EDP7073 – volume: 291 start-page: 499 year: 2020 ident: 10.1016/j.heliyon.2023.e18602_br0200 article-title: A comprehensive multiobjective mixed integer nonlinear programming model for an integrated elderly care service districting problem publication-title: Ann. Oper. Res. doi: 10.1007/s10479-018-3078-6 – volume: 6 start-page: 1 issue: 1 year: 2018 ident: 10.1016/j.heliyon.2023.e18602_br0840 article-title: A neural network-based hybrid method to generate feasible neighbors for flexible job shop scheduling problem publication-title: Univers. J. Appl. Math. doi: 10.13189/ujam.2018.060101 – volume: 103 start-page: 335 year: 2005 ident: 10.1016/j.heliyon.2023.e18602_br0030 article-title: A comparison of complete global optimization solvers publication-title: Math. Program. doi: 10.1007/s10107-005-0585-4 – ident: 10.1016/j.heliyon.2023.e18602_br0270 – volume: 138 start-page: 1112 year: 2017 ident: 10.1016/j.heliyon.2023.e18602_br0560 article-title: Surrogate worth trade-off method for multi-objective thermal power load dispatch publication-title: Energy doi: 10.1016/j.energy.2017.07.063 – year: 2002 ident: 10.1016/j.heliyon.2023.e18602_br0740 – start-page: 4106 year: 1998 ident: 10.1016/j.heliyon.2023.e18602_br0260 article-title: Comparison of algorithms for the dynamic resectorization of airspace – ident: 10.1016/j.heliyon.2023.e18602_br0320 doi: 10.1007/s12083-020-00949-8 – volume: 343 start-page: 98 year: 2018 ident: 10.1016/j.heliyon.2023.e18602_br0520 article-title: Consistent clustering of entries in large pairwise comparison matrices publication-title: J. Comput. Appl. Math. doi: 10.1016/j.cam.2018.04.041 – volume: 3 start-page: 77 issue: 1 year: 2023 ident: 10.1016/j.heliyon.2023.e18602_br0410 article-title: Multi-criteria decision making (MCDM) methods and concepts publication-title: Encyclopedia doi: 10.3390/encyclopedia3010006 – volume: 73 start-page: 599 issue: 3 year: 2020 ident: 10.1016/j.heliyon.2023.e18602_br0510 article-title: A mathematical programming approach to optimum airspace sectorisation problem publication-title: J. Navig. doi: 10.1017/S0373463319000833 – volume: 5 issue: 10 year: 2019 ident: 10.1016/j.heliyon.2023.e18602_br0600 article-title: Comprehensive evaluation of voltage stability based on EW-AHP and fuzzy-TOPSIS publication-title: Heliyon doi: 10.1016/j.heliyon.2019.e02410 – volume: 43 start-page: 251 year: 2002 ident: 10.1016/j.heliyon.2023.e18602_br0190 article-title: The balanced allocation of customers to multiple distribution centers in the supply chain network: a genetic algorithm approach publication-title: Comput. Ind. Eng. doi: 10.1016/S0360-8352(02)00067-0 – start-page: 12 year: 2012 ident: 10.1016/j.heliyon.2023.e18602_br0390 – volume: 195 year: 2022 ident: 10.1016/j.heliyon.2023.e18602_br0460 article-title: Supplier selection in sustainable supply chains: using the integrated BWM, fuzzy Shannon entropy, and fuzzy MULTIMOORA methods publication-title: Expert Syst. Appl. doi: 10.1016/j.eswa.2022.116567 |
| SSID | ssj0001586973 |
| Score | 2.2558475 |
| Snippet | In this study, we compare the performance of optimization software to solve the bi-objective sectorization problem. The used solution method is based on an... |
| SourceID | doaj pubmedcentral proquest pubmed crossref elsevier |
| SourceType | Open Website Open Access Repository Aggregation Database Index Database Enrichment Source Publisher |
| StartPage | e18602 |
| SubjectTerms | computer software CPLEX GAMS Lingo Mixed integer non-linear programming Multi-objective optimization NSGA-II Pulp Pymoo Python Sectorization |
| Title | A comparison among optimization software to solve bi-objective sectorization problem |
| URI | https://dx.doi.org/10.1016/j.heliyon.2023.e18602 https://www.ncbi.nlm.nih.gov/pubmed/37576245 https://www.proquest.com/docview/2850720345 https://www.proquest.com/docview/3153709875 https://pubmed.ncbi.nlm.nih.gov/PMC10412777 https://doaj.org/article/d81eb0fa0c274b62a9f5705751b71f29 |
| Volume | 9 |
| WOSCitedRecordID | wos001051823200001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVAON databaseName: DOAJ Directory of Open Access Journals customDbUrl: eissn: 2405-8440 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0001586973 issn: 2405-8440 databaseCode: DOA dateStart: 20150101 isFulltext: true titleUrlDefault: https://www.doaj.org/ providerName: Directory of Open Access Journals – providerCode: PRVHPJ databaseName: ROAD: Directory of Open Access Scholarly Resources customDbUrl: eissn: 2405-8440 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0001586973 issn: 2405-8440 databaseCode: M~E dateStart: 20150101 isFulltext: true titleUrlDefault: https://road.issn.org providerName: ISSN International Centre |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV1Lb9QwELagQogL4s3yqIzENVs7ju3JsaBWXFpxKNLeLD_VrJYE7W6LuPDbseNk2YDQXrhEUWInms8Tz0zs-Qah96U31ghXFwQCFBUjrjDMhqKK-qFFcFTaXGxCXl7CYlF_3iv1lfaEZXrgDNyJA-oNCZrYGD8ZUeo6cJmcDGokDWWfukdkvRdM5fxgEHW_vBwtFi-gqsjv9J2T5fzar5ofXeI_Ldnc01SIaWKYev7-iX362__8cxvlnl06f4QeDg4lPs2CPEZ3fPsE3b8YlsyfoqtTbHe1BnFfWwh3cZ74OiRg4k2ciL_rtcfbLp6vbj02TdGZZZ4J8ab_rT82HurPPENfzs-uPn4qhlIKheW12BYgnAgGqJRe8kA0s6ANBCYgGG0MS-mqAijzEeaUbCt4pesYKQJ3EUZH2HN01Hatf4mwBcu45sxWnlWM1WA9CCqME47L4PwMVSOOyg4846ncxUqNG8qWaoBfJfhVhn-G5rtu3zLRxqEOH9Ig7Ronnuz-QtQeNWiPOqQ9MwTjEKvB5ciuRHxUc-j970aVUPGTTOssuvXdzUaVEJ3skrCK_7sNi5ZGkjpGizP0IqvRThImYxBYpt4wUbCJqNM7bXPdU4PTRJ8mpXz1P8B5jR4kefN2xzfoaLu-8W_RPXu7bTbrY3RXLuC4_-zi8eLn2S-3TDL- |
| linkProvider | Directory of Open Access Journals |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=A+comparison+among+optimization+software+to+solve+bi-objective+sectorization+problem&rft.jtitle=Heliyon&rft.au=Teymourifar%2C+Aydin&rft.date=2023-08-01&rft.issn=2405-8440&rft.eissn=2405-8440&rft.volume=9&rft.issue=8&rft.spage=e18602&rft_id=info:doi/10.1016%2Fj.heliyon.2023.e18602&rft.externalDBID=n%2Fa&rft.externalDocID=10_1016_j_heliyon_2023_e18602 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=2405-8440&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=2405-8440&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=2405-8440&client=summon |