A novel Whale Optimization Algorithm integrated with Nelder–Mead simplex for multi-objective optimization problems
Recently, several meta-heuristics and evolutionary algorithms have been proposed for tackling optimization problems. Such methods tend to suffer from degraded performance when solving multi-objective optimization problems due to addressing the conflicting goals of finding accurate estimation of Pare...
Gespeichert in:
| Veröffentlicht in: | Knowledge-based systems Jg. 212; S. 106619 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Journal Article |
| Sprache: | Englisch |
| Veröffentlicht: |
Amsterdam
Elsevier B.V
05.01.2021
Elsevier Science Ltd |
| Schlagworte: | |
| ISSN: | 0950-7051, 1872-7409 |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Abstract | Recently, several meta-heuristics and evolutionary algorithms have been proposed for tackling optimization problems. Such methods tend to suffer from degraded performance when solving multi-objective optimization problems due to addressing the conflicting goals of finding accurate estimation of Pareto optimal solutions and increasing their distribution across all objectives. In this paper, the Whale Optimization Algorithm (WOA) is improved and extended to solve such multi-objective optimization problems with the purpose of alleviating these drawbacks. The improvements include: (1) modifying the distance control factor of the standard WOA to contain values generated dynamically instead of a fixed one, (2) the trade-off between moving toward the opposite of the best solution and its original values based on a certain probability to prevent stuck into local minima, and (3) accelerating the convergence and coverage using Nelder–Mead method and the Pareto Archived Evolution Strategy (PAES). The proposed algorithm is tested on three benchmark multi-objective test functions (DTLZ, CEC 2009, and GLT), including 25 test functions, to verify its effectiveness by comparing with nine robust multi-objective algorithms. The experiments demonstrate the superiority of the proposed algorithm compared to some of the existing multi-objective algorithms in the literature. |
|---|---|
| AbstractList | Recently, several meta-heuristics and evolutionary algorithms have been proposed for tackling optimization problems. Such methods tend to suffer from degraded performance when solving multi-objective optimization problems due to addressing the conflicting goals of finding accurate estimation of Pareto optimal solutions and increasing their distribution across all objectives. In this paper, the Whale Optimization Algorithm (WOA) is improved and extended to solve such multi-objective optimization problems with the purpose of alleviating these drawbacks. The improvements include: (1) modifying the distance control factor of the standard WOA to contain values generated dynamically instead of a fixed one, (2) the trade-off between moving toward the opposite of the best solution and its original values based on a certain probability to prevent stuck into local minima, and (3) accelerating the convergence and coverage using Nelder–Mead method and the Pareto Archived Evolution Strategy (PAES). The proposed algorithm is tested on three benchmark multi-objective test functions (DTLZ, CEC 2009, and GLT), including 25 test functions, to verify its effectiveness by comparing with nine robust multi-objective algorithms. The experiments demonstrate the superiority of the proposed algorithm compared to some of the existing multi-objective algorithms in the literature. |
| ArticleNumber | 106619 |
| Author | Mohamed, Reda Mirjalili, Seyedali Abdel-Basset, Mohamed |
| Author_xml | – sequence: 1 givenname: Mohamed surname: Abdel-Basset fullname: Abdel-Basset, Mohamed email: mohamed.abdelbasset@fci.zu.edu.eg organization: Faculty of Computers and Informatics, Zagazig University, Zagazig, 44519, Egypt – sequence: 2 givenname: Reda surname: Mohamed fullname: Mohamed, Reda organization: Faculty of Computers and Informatics, Zagazig University, Zagazig, 44519, Egypt – sequence: 3 givenname: Seyedali orcidid: 0000-0002-1443-9458 surname: Mirjalili fullname: Mirjalili, Seyedali email: ali.mirjalili@laureate.edu.au organization: Centre for Artificial Intelligence Research and Optimisation; Torrens University Australia, Fortitude Valley, Brisbane, 4006 QLD, Australia |
| BookMark | eNqFkM1OGzEUha0qSE2gb9CFJdaT2o49PywqRRG0SBQ2IJaWx74DHjzjYDsBuuo79A15kk4YFohFWV3p6J5z7v1maNL7HhD6SsmcEpp_a-d3vY9Pcc4I20l5TqtPaErLgmUFJ9UETUklSFYQQT-jWYwtIYQxWk5RWuLeb8Hh61vlAF-sk-3sb5Ws7_HS3fhg022HbZ_gJqgEBj8MAj4HZyA8__n7C5TB0XZrB4-48QF3G5ds5usWdLJbwP5t4Dr42kEXD9Beo1yEL69zH12dHF-ufmZnFz9OV8uzTC9KkjLKeaNrELUSigrSCKWNYBxMrpkwwGstKC9zUWhRCM4pqXmdC9MITcqCa73YR4dj7lB8v4GYZOs3oR8qJeMVYQMmUQ1bR-OWDj7GAI3UNr0cnIKyTlIid5RlK0fKckdZjpQHM39nXgfbqfD0ke37aIPh_a2FIKO20GswNgzkpPH2_wH_AHM_ntw |
| CitedBy_id | crossref_primary_10_1155_2021_6625438 crossref_primary_10_1177_01423312211037967 crossref_primary_10_1007_s10586_024_04689_9 crossref_primary_10_1109_TIM_2024_3417536 crossref_primary_10_1016_j_engappai_2022_105718 crossref_primary_10_1109_ACCESS_2025_3529915 crossref_primary_10_1007_s11831_023_09928_7 crossref_primary_10_1016_j_knosys_2021_107640 crossref_primary_10_7717_peerj_cs_1557 crossref_primary_10_1016_j_partic_2021_11_006 crossref_primary_10_1016_j_eswa_2024_126281 crossref_primary_10_1016_j_knosys_2025_113735 crossref_primary_10_1038_s41598_025_05261_0 crossref_primary_10_1007_s00500_023_09046_3 crossref_primary_10_1111_exsy_13170 crossref_primary_10_3390_en18010124 crossref_primary_10_1145_3669942 crossref_primary_10_1007_s10586_024_04441_3 crossref_primary_10_1016_j_cie_2022_108361 crossref_primary_10_1016_j_eswa_2025_127227 crossref_primary_10_1007_s44443_025_00184_2 crossref_primary_10_1007_s00500_022_07050_7 crossref_primary_10_3389_fenrg_2022_988772 crossref_primary_10_1007_s00521_022_07405_z crossref_primary_10_1007_s11071_025_11748_2 crossref_primary_10_1186_s13677_024_00594_z crossref_primary_10_1007_s10462_025_11289_5 crossref_primary_10_3390_a17090416 crossref_primary_10_1016_j_asoc_2023_111178 crossref_primary_10_3390_electronics11121834 crossref_primary_10_1016_j_swevo_2024_101746 crossref_primary_10_1007_s10462_022_10216_2 crossref_primary_10_3390_math11143092 crossref_primary_10_1016_j_enconman_2021_115174 crossref_primary_10_1057_s41272_025_00525_w crossref_primary_10_1109_TAES_2024_3364139 crossref_primary_10_1016_j_knosys_2021_107607 crossref_primary_10_1016_j_knosys_2023_110454 crossref_primary_10_1186_s13634_023_00980_w crossref_primary_10_1007_s12065_023_00853_z crossref_primary_10_1007_s00521_021_06747_4 crossref_primary_10_1007_s00521_024_09688_w crossref_primary_10_1016_j_engappai_2022_104685 crossref_primary_10_1007_s00500_023_08825_2 crossref_primary_10_1007_s11071_025_11066_7 crossref_primary_10_3390_agronomy13122966 crossref_primary_10_3390_polym14030592 crossref_primary_10_1016_j_ijmecsci_2024_109812 crossref_primary_10_1007_s10489_022_03875_9 crossref_primary_10_1109_ACCESS_2021_3066323 crossref_primary_10_1016_j_knosys_2021_107263 crossref_primary_10_1016_j_jocs_2024_102323 crossref_primary_10_1007_s00521_021_06807_9 crossref_primary_10_3390_drones7110655 crossref_primary_10_1016_j_eswa_2023_119970 crossref_primary_10_1155_2022_8349258 crossref_primary_10_3390_jmse11122373 crossref_primary_10_1007_s10489_021_02659_x crossref_primary_10_1155_2021_6971100 crossref_primary_10_4018_IJISSCM_287865 crossref_primary_10_1088_1361_665X_ad287c crossref_primary_10_1016_j_knosys_2022_110247 crossref_primary_10_1109_JSEN_2023_3269594 crossref_primary_10_1007_s13369_021_06321_z crossref_primary_10_1007_s12530_021_09402_4 crossref_primary_10_1109_TITS_2025_3528961 crossref_primary_10_1007_s12293_023_00401_3 crossref_primary_10_1016_j_knosys_2023_110398 crossref_primary_10_1016_j_energy_2022_123108 |
| Cites_doi | 10.1007/s10489-018-1334-8 10.1016/j.ejor.2006.08.008 10.1016/j.ces.2004.07.130 10.1007/s00521-017-3049-x 10.1093/comjnl/7.4.308 10.1016/j.swevo.2018.10.016 10.1109/TEVC.2005.860762 10.1109/TAES.2017.2680698 10.1007/s10489-017-1019-8 10.1007/s00521-018-3348-x 10.1109/TCBB.2007.070203 10.1016/S0020-0190(01)00281-2 10.1109/4235.996017 10.1109/TEVC.2005.861417 10.1109/TEVC.2007.892759 10.1109/TEVC.2013.2281535 10.1016/j.swevo.2011.11.005 10.1016/j.ins.2012.02.011 10.1002/int.20358 10.1109/TEVC.2004.826067 10.1016/j.advengsoft.2011.05.014 10.1109/TEVC.2017.2744674 10.2514/1.32794 10.1016/j.swevo.2011.03.001 10.1007/s12293-015-0174-x 10.1162/evco.2004.12.1.77 10.1016/j.advengsoft.2017.07.002 10.1007/s00158-003-0368-6 10.1109/TEVC.2003.810068 10.1007/s00170-019-04532-1 10.1109/TEVC.2017.2749619 10.1007/s00500-019-04080-6 10.1007/s10898-014-0214-y 10.1007/s40314-020-1131-y 10.1007/978-1-4419-9863-7_1185 10.1016/j.ins.2016.08.043 10.1016/j.compstruc.2004.03.003 10.1080/0305215X.2013.832237 10.1016/j.eswa.2015.10.039 10.1016/j.advengsoft.2016.01.008 10.1016/j.ins.2018.09.005 10.1016/j.eswa.2016.02.009 10.1016/j.knosys.2016.03.009 |
| ContentType | Journal Article |
| Copyright | 2020 Elsevier B.V. Copyright Elsevier Science Ltd. Jan 5, 2021 |
| Copyright_xml | – notice: 2020 Elsevier B.V. – notice: Copyright Elsevier Science Ltd. Jan 5, 2021 |
| DBID | AAYXX CITATION 7SC 8FD E3H F2A JQ2 L7M L~C L~D |
| DOI | 10.1016/j.knosys.2020.106619 |
| DatabaseName | CrossRef Computer and Information Systems Abstracts Technology Research Database Library & Information Sciences Abstracts (LISA) Library & Information Science Abstracts (LISA) ProQuest Computer Science Collection Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Academic Computer and Information Systems Abstracts Professional |
| DatabaseTitle | CrossRef Technology Research Database Computer and Information Systems Abstracts – Academic Library and Information Science Abstracts (LISA) ProQuest Computer Science Collection Computer and Information Systems Abstracts Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Professional |
| DatabaseTitleList | Technology Research Database |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Computer Science |
| EISSN | 1872-7409 |
| ExternalDocumentID | 10_1016_j_knosys_2020_106619 S0950705120307486 |
| GroupedDBID | --K --M .DC .~1 0R~ 1B1 1~. 1~5 4.4 457 4G. 5VS 7-5 71M 77K 8P~ 9JN AACTN AAEDT AAEDW AAIAV AAIKJ AAKOC AALRI AAOAW AAQFI AAXUO AAYFN ABAOU ABBOA ABIVO ABJNI ABMAC ACDAQ ACGFS ACRLP ACZNC ADBBV ADEZE ADGUI ADTZH AEBSH AECPX AEKER AENEX AFKWA AFTJW AGHFR AGUBO AGYEJ AHHHB AHJVU AHZHX AIALX AIEXJ AIKHN AITUG AJOXV AKRWK ALMA_UNASSIGNED_HOLDINGS AMFUW AMRAJ AOUOD ARUGR AXJTR BJAXD BKOJK BLXMC CS3 DU5 EBS EFJIC EO8 EO9 EP2 EP3 FDB FIRID FNPLU FYGXN G-Q GBLVA GBOLZ IHE J1W JJJVA KOM LG9 LY7 M41 MHUIS MO0 N9A O-L O9- OAUVE OZT P-8 P-9 P2P PC. PQQKQ Q38 RIG ROL RPZ SDF SDG SDP SES SPC SPCBC SST SSV SSW SSZ T5K WH7 XPP ZMT ~02 ~G- 29L 77I 9DU AAQXK AATTM AAXKI AAYWO AAYXX ABDPE ABWVN ABXDB ACLOT ACNNM ACRPL ACVFH ADCNI ADJOM ADMUD ADNMO AEIPS AEUPX AFJKZ AFPUW AGQPQ AIGII AIIUN AKBMS AKYEP ANKPU APXCP ASPBG AVWKF AZFZN CITATION EFKBS EFLBG EJD FEDTE FGOYB G-2 HLZ HVGLF HZ~ R2- SBC SET SEW UHS WUQ ~HD 7SC 8FD E3H F2A JQ2 L7M L~C L~D |
| ID | FETCH-LOGICAL-c380t-144fcbe5ba5a150f5acd524ed6c25de4bc5148657c5754410b4b65df5c0874cc3 |
| ISICitedReferencesCount | 87 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000604528000008&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 0950-7051 |
| IngestDate | Fri Nov 14 18:46:32 EST 2025 Tue Nov 18 22:33:39 EST 2025 Sat Nov 29 07:05:57 EST 2025 Tue Jul 16 04:30:26 EDT 2024 |
| IsDoiOpenAccess | false |
| IsOpenAccess | true |
| IsPeerReviewed | true |
| IsScholarly | true |
| Keywords | Nelder–Mead method Whale Optimization Algorithm Artificial Intelligence WOA Multi-objective optimization Dynamic distance Algorithm Opposition based learning Optimization Swarm Intelligence |
| Language | English |
| LinkModel | OpenURL |
| MergedId | FETCHMERGED-LOGICAL-c380t-144fcbe5ba5a150f5acd524ed6c25de4bc5148657c5754410b4b65df5c0874cc3 |
| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| ORCID | 0000-0002-1443-9458 |
| OpenAccessLink | http://hdl.handle.net/10072/400341 |
| PQID | 2490261959 |
| PQPubID | 2035257 |
| ParticipantIDs | proquest_journals_2490261959 crossref_citationtrail_10_1016_j_knosys_2020_106619 crossref_primary_10_1016_j_knosys_2020_106619 elsevier_sciencedirect_doi_10_1016_j_knosys_2020_106619 |
| PublicationCentury | 2000 |
| PublicationDate | 2021-01-05 |
| PublicationDateYYYYMMDD | 2021-01-05 |
| PublicationDate_xml | – month: 01 year: 2021 text: 2021-01-05 day: 05 |
| PublicationDecade | 2020 |
| PublicationPlace | Amsterdam |
| PublicationPlace_xml | – name: Amsterdam |
| PublicationTitle | Knowledge-based systems |
| PublicationYear | 2021 |
| Publisher | Elsevier B.V Elsevier Science Ltd |
| Publisher_xml | – name: Elsevier B.V – name: Elsevier Science Ltd |
| References | Chen, Y.-p. Chen, Zhang (b70) 2009 Huang (b73) 2009 Kumawat, Nanda, Maddila (b43) 2017 Elsayed, Sarker (b22) 2016; 8 Nelder, Mead (b5) 1965; 7 Tiwari (b18) 2009 Chai (b49) 2017 Mirjalili (b31) 2017; 114 Kukkonen, Lampinen (b30) 2005 Tizhoosh (b61) 2005 Tian (b25) 2017; 22 Mirjalili (b44) 2018; 48 Chandrawat (b11) 2017 El Aziz (b40) 2018 Zhang (b67) 2008 Tseng, Chen (b71) 2009 Luh, Chueh (b9) 2004; 82 Chai, Savvaris, Tsourdos (b64) 2017; 53 Sarkar, Modak (b1) 2005; 60 Haynes, test (b78) 2013 Tawhid, Savsani (b42) 2019; 31 Grotti (b48) 2020; 39 Chai (b51) 2020 Schaffer (b13) 1985 Nebro (b53) 2009 J. Knowles, D. Corne, The pareto archived evolution strategy: A new baseline algorithm for pareto multiobjective optimisation, in: Congress on Evolutionary Computation, CEC99, 1999. Marler, Arora (b4) 2004; 26 Yen, Lu (b19) 2003; 7 Deb (b27) 2002; 6 Durillo, Nebro (b65) 2011; 42 Elaziz (b23) 2019 Coello, Pulido, Lechuga (b32) 2004; 8 Zeng, Kang, Ding (b76) 2004; 12 Chai (b50) 2018 Yildiz (b63) 2019; 105 Nobahari, Bighashdel (b38) 2017 Kipouros (b8) 2008; 46 Yang, Karamanoglu, He (b36) 2014; 46 B. Abdelkamel, K.E. Melkemi, Multi-objective combinatorial optimization using a hybrid genetic algorithm and particle swarm optimization. Hoda, Mohammad H, Amir H (b39) 2019 Branke (b3) 2004 Alba (b54) 2002; 82 Wang (b74) 2009 Sindhya (b17) 2009 Singh, Dhiman (b10) 2017 Beume, Naujoks, Emmerich (b56) 2007; 181 Qu, Suganthan (b75) 2009 Yang (b37) 2012 Ruiz, Saborido, Luque (b55) 2015; 62 Mousa, El-Shorbagy, Abd-El-Wahed (b34) 2012; 3 Deb, Jain (b28) 2013; 18 Deb (b6) 2012 Dalia, Sudhakar Babu, Karthik, Ahmed (b16) 2020 Huband (b68) 2006; 10 Qu, Liang, Suganthan (b35) 2012; 197 Gu, Liu, Tan (b66) 2012; 8 Mirjalili, Lewis (b59) 2016; 95 Nebro (b52) 2009; 24 Liu (b77) 2016; 101 Cai (b29) 2017; 22 Mirjalili (b41) 2016; 47 Liu (b72) 2009 Zhang, Li (b21) 2007; 11 Armano, Farmani (b33) 2016; 55 Mohammad, Mohammad A.M., Norisma, Ibrahim (b15) 2019; 49 Li, Wang, Xu (b46) 2017; 375 Kukkonen, Lampinen (b69) 2009 Pescador-Rojas (b62) 2017 Handl, Kell, Knowles (b7) 2007; 4 Coello, Lamont, Van Veldhuizen (b14) 2007 Lai (b45) 2019; 31 Zhou (b12) 2011; 1 Liang (b24) 2019; 44 Tan, Yang, Goh (b20) 2006; 10 Abbass, Sarker, Newton (b2) 2001 Khalilpourazari, Naderi, Khalilpourazary (b47) 2020; 24 Santiago (b26) 2019; 471 Riquelme, Von Lücken, Baran (b57) 2015 Sindhya (10.1016/j.knosys.2020.106619_b17) 2009 Huang (10.1016/j.knosys.2020.106619_b73) 2009 Elsayed (10.1016/j.knosys.2020.106619_b22) 2016; 8 Santiago (10.1016/j.knosys.2020.106619_b26) 2019; 471 Yen (10.1016/j.knosys.2020.106619_b19) 2003; 7 Liang (10.1016/j.knosys.2020.106619_b24) 2019; 44 Hoda (10.1016/j.knosys.2020.106619_b39) 2019 Chandrawat (10.1016/j.knosys.2020.106619_b11) 2017 Khalilpourazari (10.1016/j.knosys.2020.106619_b47) 2020; 24 Yang (10.1016/j.knosys.2020.106619_b37) 2012 Zeng (10.1016/j.knosys.2020.106619_b76) 2004; 12 Kipouros (10.1016/j.knosys.2020.106619_b8) 2008; 46 Gu (10.1016/j.knosys.2020.106619_b66) 2012; 8 Mohammad (10.1016/j.knosys.2020.106619_b15) 2019; 49 Zhou (10.1016/j.knosys.2020.106619_b12) 2011; 1 Mirjalili (10.1016/j.knosys.2020.106619_b44) 2018; 48 Ruiz (10.1016/j.knosys.2020.106619_b55) 2015; 62 Branke (10.1016/j.knosys.2020.106619_b3) 2004 Nebro (10.1016/j.knosys.2020.106619_b53) 2009 Liu (10.1016/j.knosys.2020.106619_b72) 2009 Deb (10.1016/j.knosys.2020.106619_b6) 2012 Elaziz (10.1016/j.knosys.2020.106619_b23) 2019 Qu (10.1016/j.knosys.2020.106619_b35) 2012; 197 Chen (10.1016/j.knosys.2020.106619_b70) 2009 Wang (10.1016/j.knosys.2020.106619_b74) 2009 Nelder (10.1016/j.knosys.2020.106619_b5) 1965; 7 Luh (10.1016/j.knosys.2020.106619_b9) 2004; 82 Tan (10.1016/j.knosys.2020.106619_b20) 2006; 10 Chai (10.1016/j.knosys.2020.106619_b51) 2020 Chai (10.1016/j.knosys.2020.106619_b49) 2017 Handl (10.1016/j.knosys.2020.106619_b7) 2007; 4 Liu (10.1016/j.knosys.2020.106619_b77) 2016; 101 Tseng (10.1016/j.knosys.2020.106619_b71) 2009 Singh (10.1016/j.knosys.2020.106619_b10) 2017 Armano (10.1016/j.knosys.2020.106619_b33) 2016; 55 Haynes (10.1016/j.knosys.2020.106619_b78) 2013 Abbass (10.1016/j.knosys.2020.106619_b2) 2001 Tawhid (10.1016/j.knosys.2020.106619_b42) 2019; 31 Qu (10.1016/j.knosys.2020.106619_b75) 2009 Riquelme (10.1016/j.knosys.2020.106619_b57) 2015 Mirjalili (10.1016/j.knosys.2020.106619_b41) 2016; 47 Huband (10.1016/j.knosys.2020.106619_b68) 2006; 10 Deb (10.1016/j.knosys.2020.106619_b28) 2013; 18 El Aziz (10.1016/j.knosys.2020.106619_b40) 2018 Schaffer (10.1016/j.knosys.2020.106619_b13) 1985 Tiwari (10.1016/j.knosys.2020.106619_b18) 2009 Coello (10.1016/j.knosys.2020.106619_b32) 2004; 8 Beume (10.1016/j.knosys.2020.106619_b56) 2007; 181 Cai (10.1016/j.knosys.2020.106619_b29) 2017; 22 Alba (10.1016/j.knosys.2020.106619_b54) 2002; 82 Coello (10.1016/j.knosys.2020.106619_b14) 2007 Nobahari (10.1016/j.knosys.2020.106619_b38) 2017 Marler (10.1016/j.knosys.2020.106619_b4) 2004; 26 Li (10.1016/j.knosys.2020.106619_b46) 2017; 375 Mirjalili (10.1016/j.knosys.2020.106619_b31) 2017; 114 Lai (10.1016/j.knosys.2020.106619_b45) 2019; 31 Kumawat (10.1016/j.knosys.2020.106619_b43) 2017 10.1016/j.knosys.2020.106619_b58 Nebro (10.1016/j.knosys.2020.106619_b52) 2009; 24 Zhang (10.1016/j.knosys.2020.106619_b21) 2007; 11 Tizhoosh (10.1016/j.knosys.2020.106619_b61) 2005 10.1016/j.knosys.2020.106619_b60 Zhang (10.1016/j.knosys.2020.106619_b67) 2008 Mirjalili (10.1016/j.knosys.2020.106619_b59) 2016; 95 Chai (10.1016/j.knosys.2020.106619_b64) 2017; 53 Kukkonen (10.1016/j.knosys.2020.106619_b30) 2005 Pescador-Rojas (10.1016/j.knosys.2020.106619_b62) 2017 Sarkar (10.1016/j.knosys.2020.106619_b1) 2005; 60 Yang (10.1016/j.knosys.2020.106619_b36) 2014; 46 Tian (10.1016/j.knosys.2020.106619_b25) 2017; 22 Durillo (10.1016/j.knosys.2020.106619_b65) 2011; 42 Chai (10.1016/j.knosys.2020.106619_b50) 2018 Yildiz (10.1016/j.knosys.2020.106619_b63) 2019; 105 Mousa (10.1016/j.knosys.2020.106619_b34) 2012; 3 Kukkonen (10.1016/j.knosys.2020.106619_b69) 2009 Deb (10.1016/j.knosys.2020.106619_b27) 2002; 6 Dalia (10.1016/j.knosys.2020.106619_b16) 2020 Grotti (10.1016/j.knosys.2020.106619_b48) 2020; 39 |
| References_xml | – year: 2017 ident: b43 article-title: Multi-objective whale optimization publication-title: Tencon 2017-2017 IEEE Region 10 Conference – year: 2019 ident: b23 article-title: Multiobjective big data optimization based on a hybrid salp swarm algorithm and differential evolution publication-title: Appl. Math. Model. – volume: 7 start-page: 253 year: 2003 end-page: 274 ident: b19 article-title: Dynamic multiobjective evolutionary algorithm: adaptive cell-based rank and density estimation publication-title: IEEE Trans. Evol. Comput. – volume: 471 start-page: 233 year: 2019 end-page: 251 ident: b26 article-title: A novel multi-objective evolutionary algorithm with fuzzy logic based adaptive selection of operators: FAME publication-title: Inform. Sci. – reference: B. Abdelkamel, K.E. Melkemi, Multi-objective combinatorial optimization using a hybrid genetic algorithm and particle swarm optimization. – year: 2012 ident: b6 article-title: Advances in evolutionary multi-objective optimization publication-title: International Symposium on Search Based Software Engineering – reference: J. Knowles, D. Corne, The pareto archived evolution strategy: A new baseline algorithm for pareto multiobjective optimisation, in: Congress on Evolutionary Computation, CEC99, 1999. – volume: 82 start-page: 7 year: 2002 end-page: 13 ident: b54 article-title: Parallel evolutionary algorithms can achieve super-linear performance publication-title: Inform. Process. Lett. – volume: 49 start-page: 1688 year: 2019 end-page: 1707 ident: b15 article-title: Improved whale optimization algorithm for feature selection in Arabic sentiment analysis publication-title: Appl. Intell. – volume: 114 start-page: 163 year: 2017 end-page: 191 ident: b31 article-title: Salp swarm algorithm: A bio-inspired optimizer for engineering design problems publication-title: Adv. Eng. Softw. – year: 2009 ident: b18 article-title: Performance assessment of the hybrid archive-based micro genetic algorithm (AMGA) on the CEC09 test problems publication-title: 2009 IEEE Congress on Evolutionary Computation – volume: 181 start-page: 1653 year: 2007 end-page: 1669 ident: b56 article-title: SMS-EMOA: Multiobjective selection based on dominated hypervolume publication-title: European J. Oper. Res. – year: 2008 ident: b67 article-title: Multiobjective Optimization Test Instances for the CEC 2009 Special Session and Competition – volume: 7 start-page: 308 year: 1965 end-page: 313 ident: b5 article-title: A simplex method for function minimization publication-title: Comput. J. – volume: 31 start-page: 915 year: 2019 end-page: 929 ident: b42 article-title: Multi-objective sine-cosine algorithm (MO-SCA) for multi-objective engineering design problems publication-title: Neural Comput. Appl. – volume: 53 start-page: 2031 year: 2017 end-page: 2044 ident: b64 article-title: Violation learning differential evolution-based hp-adaptive pseudospectral method for trajectory optimization of space maneuver vehicle publication-title: IEEE Trans. Aerosp. Electron. Syst. – volume: 82 start-page: 829 year: 2004 end-page: 844 ident: b9 article-title: Multi-objective optimal design of truss structure with immune algorithm publication-title: Comput. Struct. – volume: 47 start-page: 106 year: 2016 end-page: 119 ident: b41 article-title: Multi-objective grey wolf optimizer: a novel algorithm for multi-criterion optimization publication-title: Expert Syst. Appl. – volume: 48 start-page: 805 year: 2018 end-page: 820 ident: b44 article-title: Grasshopper optimization algorithm for multi-objective optimization problems publication-title: Appl. Intell. – volume: 24 start-page: 3037 year: 2020 end-page: 3066 ident: b47 article-title: Multi-objective stochastic fractal search: a powerful algorithm for solving complex multi-objective optimization problems publication-title: Soft Comput. – year: 2017 ident: b11 article-title: An analysis of modeling and optimization production cost through fuzzy linear programming problem with symmetric and right angle triangular fuzzy number publication-title: Proceedings of Sixth International Conference on Soft Computing for Problem Solving – year: 2009 ident: b53 article-title: SMPSO: A new PSO-based metaheuristic for multi-objective optimization publication-title: 2009 IEEE Symposium on Computational Intelligence in Multi-Criteria Decision-Making, MCDM – volume: 95 start-page: 51 year: 2016 end-page: 67 ident: b59 article-title: The whale optimization algorithm publication-title: Adv. Eng. Softw. – volume: 18 start-page: 577 year: 2013 end-page: 601 ident: b28 article-title: An evolutionary many-objective optimization algorithm using reference-point-based nondominated sorting approach, part I: solving problems with box constraints publication-title: IEEE Trans. Evol. Comput. – year: 2017 ident: b62 article-title: An overview of weighted and unconstrained scalarizing functions publication-title: International Conference on Evolutionary Multi-Criterion Optimization – volume: 8 start-page: 17 year: 2016 end-page: 33 ident: b22 article-title: Differential evolution framework for big data optimization publication-title: Memet. Comput. – volume: 101 start-page: 90 year: 2016 end-page: 99 ident: b77 article-title: A new quantum-behaved particle swarm optimization based on cultural evolution mechanism for multiobjective problems publication-title: Knowl.-Based Syst. – year: 2009 ident: b72 article-title: Performance assessment of DMOEA-DD with CEC 2009 MOEA competition test instances publication-title: 2009 IEEE Congress on Evolutionary Computation – start-page: 159931 year: 2020 end-page: 159946 ident: b16 article-title: Multi-objective grey wolf optimizer for optimal design of switching matrix for shaded PV array dynamic reconfiguration publication-title: IEEE Access 8 – volume: 60 start-page: 481 year: 2005 end-page: 492 ident: b1 article-title: Pareto-optimal solutions for multi-objective optimization of fed-batch bioreactors using nondominated sorting genetic algorithm publication-title: Chem. Eng. Sci. – volume: 26 start-page: 369 year: 2004 end-page: 395 ident: b4 article-title: Survey of multi-objective optimization methods for engineering publication-title: Struct. Multidiscip. Optim. – volume: 31 start-page: 4049 year: 2019 end-page: 4083 ident: b45 article-title: A multi-objective artificial sheep algorithm publication-title: Neural Comput. Appl. – volume: 375 start-page: 30 year: 2017 end-page: 47 ident: b46 article-title: Multi-objective particle swarm optimization based on global margin ranking publication-title: Inform. Sci. – volume: 55 start-page: 184 year: 2016 end-page: 193 ident: b33 article-title: Multiobjective clustering analysis using particle swarm optimization publication-title: Expert Syst. Appl. – start-page: 23 year: 2018 end-page: 39. ident: b40 article-title: Multi-objective whale optimization algorithm for multilevel thresholding segmentation publication-title: Advances in Soft Computing and Machine Learning in Image Processing – volume: 197 start-page: 131 year: 2012 end-page: 143 ident: b35 article-title: Niching particle swarm optimization with local search for multi-modal optimization publication-title: Inform. Sci. – year: 2015 ident: b57 article-title: Performance metrics in multi-objective optimization publication-title: 2015 Latin American Computing Conference, CLEI – volume: 4 start-page: 279 year: 2007 end-page: 292 ident: b7 article-title: Multiobjective optimization in bioinformatics and computational biology publication-title: IEEE/ACM Trans. Comput. Biol. Bioinform. (TCBB) – year: 2005 ident: b30 article-title: GDE3: The third evolution step of generalized differential evolution publication-title: 2005 IEEE Congress on Evolutionary Computation – year: 2009 ident: b70 article-title: Enhancing MOEA/D with guided mutation and priority update for multi-objective optimization publication-title: 2009 IEEE Congress on Evolutionary Computation – year: 2009 ident: b75 article-title: Multi-objective evolutionary programming without non-domination sorting is up to twenty times faster publication-title: 2009 IEEE Congress on Evolutionary Computation – year: 2020 ident: b51 article-title: Multiobjective overtaking maneuver planning for autonomous ground vehicles publication-title: IEEE Trans. Cybern. – year: 2009 ident: b69 article-title: Performance assessment of generalized differential evolution 3 with a given set of constrained multi-objective test problems publication-title: 2009 IEEE Congress on Evolutionary Computation – volume: 8 start-page: 256 year: 2004 end-page: 279 ident: b32 article-title: Handling multiple objectives with particle swarm optimization publication-title: IEEE Trans. Evol. Comput. – year: 2009 ident: b17 article-title: Local search based evolutionary multi-objective optimization algorithm for constrained and unconstrained problems publication-title: 2009 IEEE Congress on Evolutionary Computation – volume: 39 start-page: 1 year: 2020 end-page: 29 ident: b48 article-title: A novel multi-objective quantum particle swarm algorithm for suspension optimization publication-title: Comput. Appl. Math. – volume: 42 start-page: 760 year: 2011 end-page: 771 ident: b65 article-title: jMetal: A Java framework for multi-objective optimization publication-title: Adv. Eng. Softw. – year: 2017 ident: b49 article-title: Solving multi-objective aeroassisted spacecraft trajectory optimization problems using extended NSGA-II publication-title: AIAA SPACE and Astronautics Forum and Exposition – volume: 62 start-page: 101 year: 2015 end-page: 129 ident: b55 article-title: A preference-based evolutionary algorithm for multiobjective optimization: the weighting achievement scalarizing function genetic algorithm publication-title: J. Global Optim. – volume: 11 start-page: 712 year: 2007 end-page: 731 ident: b21 article-title: MOEA/D: A multiobjective evolutionary algorithm based on decomposition publication-title: IEEE Trans. Evol. Comput. – volume: 12 start-page: 77 year: 2004 end-page: 98 ident: b76 article-title: An orthogonal multi-objective evolutionary algorithm for multi-objective optimization problems with constraints publication-title: Evol. Comput. – volume: 105 start-page: 5091 year: 2019 end-page: 5104 ident: b63 article-title: A novel hybrid whale–Nelder–Mead algorithm for optimization of design and manufacturing problems publication-title: Int. J. Adv. Manuf. Technol. – year: 2019 ident: b39 article-title: CCSA: Conscious neighborhood-based crow search algorithm for solving global optimization problems publication-title: Appl. Soft Comput. – year: 1985 ident: b13 article-title: Multiple objective optimization with vector evaluated genetic algorithms publication-title: Proceedings of the First International Conference on Genetic Algorithms and their Applications, 1985 – year: 2004 ident: b3 article-title: Finding knees in multi-objective optimization publication-title: International Conference on Parallel Problem Solving from Nature – year: 2007 ident: b14 article-title: Evolutionary Algorithms for Solving Multi-Objective Problems, vol. 5 – volume: 22 start-page: 564 year: 2017 end-page: 577 ident: b29 article-title: A constrained decomposition approach with grids for evolutionary multiobjective optimization publication-title: IEEE Trans. Evol. Comput. – year: 2012 ident: b37 article-title: Bat algorithm for multi-objective optimisation – year: 2017 ident: b38 article-title: MOCSA: a multi-objective crow search algorithm for multi-objective optimization publication-title: 2017 2nd Conference on Swarm Intelligence and Evolutionary Computation, CSIEC – volume: 46 start-page: 1222 year: 2014 end-page: 1237 ident: b36 article-title: Flower pollination algorithm: a novel approach for multiobjective optimization publication-title: Eng. Optim. – year: 2005 ident: b61 article-title: Opposition-based learning: a new scheme for machine intelligence publication-title: International Conference on Computational Intelligence for Modelling, Control and Automation and International Conference on Intelligent Agents, Web Technologies and Internet Commerce, CIMCA-IAWTIC’06 – volume: 8 start-page: 3677 year: 2012 end-page: 3688 ident: b66 article-title: A multiobjective evolutionary algorithm using dynamic weight design method publication-title: Int. J. Innov. Comput. Inf. Control – start-page: 2354 year: 2013 end-page: 2355 ident: b78 article-title: Wilcoxon rank sum test publication-title: Encyclopedia Syst. Biol. – volume: 46 start-page: 701 year: 2008 end-page: 711 ident: b8 article-title: Biobjective design optimization for axial compressors using tabu search publication-title: AIAA J. – volume: 24 start-page: 726 year: 2009 end-page: 746 ident: b52 article-title: MOCell: A cellular genetic algorithm for multiobjective optimization publication-title: Int. J. Intell. Syst. – volume: 22 start-page: 609 year: 2017 end-page: 622 ident: b25 article-title: An indicator-based multiobjective evolutionary algorithm with reference point adaptation for better versatility publication-title: IEEE Trans. Evol. Comput. – year: 2009 ident: b71 article-title: Multiple trajectory search for unconstrained/constrained multi-objective optimization publication-title: 2009 IEEE Congress on Evolutionary Computation – volume: 6 start-page: 182 year: 2002 end-page: 197 ident: b27 article-title: A fast and elitist multiobjective genetic algorithm: NSGA-II publication-title: IEEE Trans. Evol. Comput. – year: 2009 ident: b73 article-title: Multi-objective optimization using self-adaptive differential evolution algorithm publication-title: 2009 IEEE Congress on Evolutionary Computation – year: 2017 ident: b10 article-title: A fuzzy-LP approach in time series forecasting publication-title: International Conference on Pattern Recognition and Machine Intelligence – year: 2018 ident: b50 article-title: Solving multiobjective constrained trajectory optimization problem by an extended evolutionary algorithm publication-title: IEEE Trans. Cybern. – year: 2001 ident: b2 article-title: PDE: a Pareto-frontier differential evolution approach for multi-objective optimization problems publication-title: Proceedings of the 2001 Congress on Evolutionary Computation (IEEE Cat. No. 01TH8546) – year: 2009 ident: b74 article-title: A clustering multi-objective evolutionary algorithm based on orthogonal and uniform design publication-title: 2009 IEEE Congress on Evolutionary Computation – volume: 10 start-page: 527 year: 2006 end-page: 549 ident: b20 article-title: A distributed cooperative coevolutionary algorithm for multiobjective optimization publication-title: IEEE Trans. Evol. Comput. – volume: 10 start-page: 477 year: 2006 end-page: 506 ident: b68 article-title: A review of multiobjective test problems and a scalable test problem toolkit publication-title: IEEE Trans. Evol. Comput. – volume: 3 start-page: 1 year: 2012 end-page: 14 ident: b34 article-title: Local search based hybrid particle swarm optimization algorithm for multiobjective optimization publication-title: Swarm Evol. Comput. – volume: 1 start-page: 32 year: 2011 end-page: 49 ident: b12 article-title: Multiobjective evolutionary algorithms: A survey of the state of the art publication-title: Swarm Evol. Comput. – volume: 44 start-page: 1028 year: 2019 end-page: 1059 ident: b24 article-title: Multimodal multiobjective optimization with differential evolution publication-title: Swarm Evol. Comput. – volume: 49 start-page: 1688 year: 2019 ident: 10.1016/j.knosys.2020.106619_b15 article-title: Improved whale optimization algorithm for feature selection in Arabic sentiment analysis publication-title: Appl. Intell. doi: 10.1007/s10489-018-1334-8 – year: 2017 ident: 10.1016/j.knosys.2020.106619_b38 article-title: MOCSA: a multi-objective crow search algorithm for multi-objective optimization – volume: 181 start-page: 1653 issue: 3 year: 2007 ident: 10.1016/j.knosys.2020.106619_b56 article-title: SMS-EMOA: Multiobjective selection based on dominated hypervolume publication-title: European J. Oper. Res. doi: 10.1016/j.ejor.2006.08.008 – year: 2001 ident: 10.1016/j.knosys.2020.106619_b2 article-title: PDE: a Pareto-frontier differential evolution approach for multi-objective optimization problems – volume: 60 start-page: 481 issue: 2 year: 2005 ident: 10.1016/j.knosys.2020.106619_b1 article-title: Pareto-optimal solutions for multi-objective optimization of fed-batch bioreactors using nondominated sorting genetic algorithm publication-title: Chem. Eng. Sci. doi: 10.1016/j.ces.2004.07.130 – volume: 31 start-page: 915 issue: 2 year: 2019 ident: 10.1016/j.knosys.2020.106619_b42 article-title: Multi-objective sine-cosine algorithm (MO-SCA) for multi-objective engineering design problems publication-title: Neural Comput. Appl. doi: 10.1007/s00521-017-3049-x – volume: 7 start-page: 308 issue: 4 year: 1965 ident: 10.1016/j.knosys.2020.106619_b5 article-title: A simplex method for function minimization publication-title: Comput. J. doi: 10.1093/comjnl/7.4.308 – year: 2005 ident: 10.1016/j.knosys.2020.106619_b61 article-title: Opposition-based learning: a new scheme for machine intelligence – volume: 44 start-page: 1028 year: 2019 ident: 10.1016/j.knosys.2020.106619_b24 article-title: Multimodal multiobjective optimization with differential evolution publication-title: Swarm Evol. Comput. doi: 10.1016/j.swevo.2018.10.016 – ident: 10.1016/j.knosys.2020.106619_b60 – volume: 10 start-page: 527 issue: 5 year: 2006 ident: 10.1016/j.knosys.2020.106619_b20 article-title: A distributed cooperative coevolutionary algorithm for multiobjective optimization publication-title: IEEE Trans. Evol. Comput. doi: 10.1109/TEVC.2005.860762 – year: 2009 ident: 10.1016/j.knosys.2020.106619_b17 article-title: Local search based evolutionary multi-objective optimization algorithm for constrained and unconstrained problems – volume: 53 start-page: 2031 issue: 4 year: 2017 ident: 10.1016/j.knosys.2020.106619_b64 article-title: Violation learning differential evolution-based hp-adaptive pseudospectral method for trajectory optimization of space maneuver vehicle publication-title: IEEE Trans. Aerosp. Electron. Syst. doi: 10.1109/TAES.2017.2680698 – volume: 48 start-page: 805 issue: 4 year: 2018 ident: 10.1016/j.knosys.2020.106619_b44 article-title: Grasshopper optimization algorithm for multi-objective optimization problems publication-title: Appl. Intell. doi: 10.1007/s10489-017-1019-8 – volume: 31 start-page: 4049 issue: 8 year: 2019 ident: 10.1016/j.knosys.2020.106619_b45 article-title: A multi-objective artificial sheep algorithm publication-title: Neural Comput. Appl. doi: 10.1007/s00521-018-3348-x – year: 2009 ident: 10.1016/j.knosys.2020.106619_b75 article-title: Multi-objective evolutionary programming without non-domination sorting is up to twenty times faster – volume: 4 start-page: 279 issue: 2 year: 2007 ident: 10.1016/j.knosys.2020.106619_b7 article-title: Multiobjective optimization in bioinformatics and computational biology publication-title: IEEE/ACM Trans. Comput. Biol. Bioinform. (TCBB) doi: 10.1109/TCBB.2007.070203 – volume: 82 start-page: 7 issue: 1 year: 2002 ident: 10.1016/j.knosys.2020.106619_b54 article-title: Parallel evolutionary algorithms can achieve super-linear performance publication-title: Inform. Process. Lett. doi: 10.1016/S0020-0190(01)00281-2 – year: 2017 ident: 10.1016/j.knosys.2020.106619_b10 article-title: A fuzzy-LP approach in time series forecasting – volume: 6 start-page: 182 issue: 2 year: 2002 ident: 10.1016/j.knosys.2020.106619_b27 article-title: A fast and elitist multiobjective genetic algorithm: NSGA-II publication-title: IEEE Trans. Evol. Comput. doi: 10.1109/4235.996017 – year: 2017 ident: 10.1016/j.knosys.2020.106619_b43 article-title: Multi-objective whale optimization – year: 2009 ident: 10.1016/j.knosys.2020.106619_b72 article-title: Performance assessment of DMOEA-DD with CEC 2009 MOEA competition test instances – year: 2017 ident: 10.1016/j.knosys.2020.106619_b62 article-title: An overview of weighted and unconstrained scalarizing functions – year: 2009 ident: 10.1016/j.knosys.2020.106619_b70 article-title: Enhancing MOEA/D with guided mutation and priority update for multi-objective optimization – year: 2008 ident: 10.1016/j.knosys.2020.106619_b67 – year: 2007 ident: 10.1016/j.knosys.2020.106619_b14 – year: 2005 ident: 10.1016/j.knosys.2020.106619_b30 article-title: GDE3: The third evolution step of generalized differential evolution – start-page: 23 year: 2018 ident: 10.1016/j.knosys.2020.106619_b40 article-title: Multi-objective whale optimization algorithm for multilevel thresholding segmentation – year: 2009 ident: 10.1016/j.knosys.2020.106619_b73 article-title: Multi-objective optimization using self-adaptive differential evolution algorithm – volume: 10 start-page: 477 issue: 5 year: 2006 ident: 10.1016/j.knosys.2020.106619_b68 article-title: A review of multiobjective test problems and a scalable test problem toolkit publication-title: IEEE Trans. Evol. Comput. doi: 10.1109/TEVC.2005.861417 – volume: 11 start-page: 712 issue: 6 year: 2007 ident: 10.1016/j.knosys.2020.106619_b21 article-title: MOEA/D: A multiobjective evolutionary algorithm based on decomposition publication-title: IEEE Trans. Evol. Comput. doi: 10.1109/TEVC.2007.892759 – volume: 18 start-page: 577 issue: 4 year: 2013 ident: 10.1016/j.knosys.2020.106619_b28 article-title: An evolutionary many-objective optimization algorithm using reference-point-based nondominated sorting approach, part I: solving problems with box constraints publication-title: IEEE Trans. Evol. Comput. doi: 10.1109/TEVC.2013.2281535 – volume: 3 start-page: 1 year: 2012 ident: 10.1016/j.knosys.2020.106619_b34 article-title: Local search based hybrid particle swarm optimization algorithm for multiobjective optimization publication-title: Swarm Evol. Comput. doi: 10.1016/j.swevo.2011.11.005 – volume: 197 start-page: 131 year: 2012 ident: 10.1016/j.knosys.2020.106619_b35 article-title: Niching particle swarm optimization with local search for multi-modal optimization publication-title: Inform. Sci. doi: 10.1016/j.ins.2012.02.011 – year: 2009 ident: 10.1016/j.knosys.2020.106619_b74 article-title: A clustering multi-objective evolutionary algorithm based on orthogonal and uniform design – ident: 10.1016/j.knosys.2020.106619_b58 – volume: 24 start-page: 726 issue: 7 year: 2009 ident: 10.1016/j.knosys.2020.106619_b52 article-title: MOCell: A cellular genetic algorithm for multiobjective optimization publication-title: Int. J. Intell. Syst. doi: 10.1002/int.20358 – volume: 8 start-page: 256 issue: 3 year: 2004 ident: 10.1016/j.knosys.2020.106619_b32 article-title: Handling multiple objectives with particle swarm optimization publication-title: IEEE Trans. Evol. Comput. doi: 10.1109/TEVC.2004.826067 – year: 2018 ident: 10.1016/j.knosys.2020.106619_b50 article-title: Solving multiobjective constrained trajectory optimization problem by an extended evolutionary algorithm publication-title: IEEE Trans. Cybern. – year: 2004 ident: 10.1016/j.knosys.2020.106619_b3 article-title: Finding knees in multi-objective optimization – volume: 42 start-page: 760 issue: 10 year: 2011 ident: 10.1016/j.knosys.2020.106619_b65 article-title: jMetal: A Java framework for multi-objective optimization publication-title: Adv. Eng. Softw. doi: 10.1016/j.advengsoft.2011.05.014 – volume: 22 start-page: 564 issue: 4 year: 2017 ident: 10.1016/j.knosys.2020.106619_b29 article-title: A constrained decomposition approach with grids for evolutionary multiobjective optimization publication-title: IEEE Trans. Evol. Comput. doi: 10.1109/TEVC.2017.2744674 – volume: 8 start-page: 3677 issue: 5 (B) year: 2012 ident: 10.1016/j.knosys.2020.106619_b66 article-title: A multiobjective evolutionary algorithm using dynamic weight design method publication-title: Int. J. Innov. Comput. Inf. Control – volume: 46 start-page: 701 issue: 3 year: 2008 ident: 10.1016/j.knosys.2020.106619_b8 article-title: Biobjective design optimization for axial compressors using tabu search publication-title: AIAA J. doi: 10.2514/1.32794 – volume: 1 start-page: 32 issue: 1 year: 2011 ident: 10.1016/j.knosys.2020.106619_b12 article-title: Multiobjective evolutionary algorithms: A survey of the state of the art publication-title: Swarm Evol. Comput. doi: 10.1016/j.swevo.2011.03.001 – volume: 8 start-page: 17 issue: 1 year: 2016 ident: 10.1016/j.knosys.2020.106619_b22 article-title: Differential evolution framework for big data optimization publication-title: Memet. Comput. doi: 10.1007/s12293-015-0174-x – year: 2020 ident: 10.1016/j.knosys.2020.106619_b51 article-title: Multiobjective overtaking maneuver planning for autonomous ground vehicles publication-title: IEEE Trans. Cybern. – start-page: 159931 year: 2020 ident: 10.1016/j.knosys.2020.106619_b16 article-title: Multi-objective grey wolf optimizer for optimal design of switching matrix for shaded PV array dynamic reconfiguration publication-title: IEEE Access 8 – year: 2017 ident: 10.1016/j.knosys.2020.106619_b11 article-title: An analysis of modeling and optimization production cost through fuzzy linear programming problem with symmetric and right angle triangular fuzzy number – volume: 12 start-page: 77 issue: 1 year: 2004 ident: 10.1016/j.knosys.2020.106619_b76 article-title: An orthogonal multi-objective evolutionary algorithm for multi-objective optimization problems with constraints publication-title: Evol. Comput. doi: 10.1162/evco.2004.12.1.77 – year: 2015 ident: 10.1016/j.knosys.2020.106619_b57 article-title: Performance metrics in multi-objective optimization – volume: 114 start-page: 163 year: 2017 ident: 10.1016/j.knosys.2020.106619_b31 article-title: Salp swarm algorithm: A bio-inspired optimizer for engineering design problems publication-title: Adv. Eng. Softw. doi: 10.1016/j.advengsoft.2017.07.002 – year: 2012 ident: 10.1016/j.knosys.2020.106619_b37 – year: 2009 ident: 10.1016/j.knosys.2020.106619_b53 article-title: SMPSO: A new PSO-based metaheuristic for multi-objective optimization – volume: 26 start-page: 369 issue: 6 year: 2004 ident: 10.1016/j.knosys.2020.106619_b4 article-title: Survey of multi-objective optimization methods for engineering publication-title: Struct. Multidiscip. Optim. doi: 10.1007/s00158-003-0368-6 – volume: 7 start-page: 253 issue: 3 year: 2003 ident: 10.1016/j.knosys.2020.106619_b19 article-title: Dynamic multiobjective evolutionary algorithm: adaptive cell-based rank and density estimation publication-title: IEEE Trans. Evol. Comput. doi: 10.1109/TEVC.2003.810068 – volume: 105 start-page: 5091 issue: 12 year: 2019 ident: 10.1016/j.knosys.2020.106619_b63 article-title: A novel hybrid whale–Nelder–Mead algorithm for optimization of design and manufacturing problems publication-title: Int. J. Adv. Manuf. Technol. doi: 10.1007/s00170-019-04532-1 – volume: 22 start-page: 609 issue: 4 year: 2017 ident: 10.1016/j.knosys.2020.106619_b25 article-title: An indicator-based multiobjective evolutionary algorithm with reference point adaptation for better versatility publication-title: IEEE Trans. Evol. Comput. doi: 10.1109/TEVC.2017.2749619 – volume: 24 start-page: 3037 issue: 4 year: 2020 ident: 10.1016/j.knosys.2020.106619_b47 article-title: Multi-objective stochastic fractal search: a powerful algorithm for solving complex multi-objective optimization problems publication-title: Soft Comput. doi: 10.1007/s00500-019-04080-6 – volume: 62 start-page: 101 issue: 1 year: 2015 ident: 10.1016/j.knosys.2020.106619_b55 article-title: A preference-based evolutionary algorithm for multiobjective optimization: the weighting achievement scalarizing function genetic algorithm publication-title: J. Global Optim. doi: 10.1007/s10898-014-0214-y – year: 2009 ident: 10.1016/j.knosys.2020.106619_b69 article-title: Performance assessment of generalized differential evolution 3 with a given set of constrained multi-objective test problems – volume: 39 start-page: 1 issue: 2 year: 2020 ident: 10.1016/j.knosys.2020.106619_b48 article-title: A novel multi-objective quantum particle swarm algorithm for suspension optimization publication-title: Comput. Appl. Math. doi: 10.1007/s40314-020-1131-y – year: 2019 ident: 10.1016/j.knosys.2020.106619_b23 article-title: Multiobjective big data optimization based on a hybrid salp swarm algorithm and differential evolution publication-title: Appl. Math. Model. – year: 2012 ident: 10.1016/j.knosys.2020.106619_b6 article-title: Advances in evolutionary multi-objective optimization – year: 1985 ident: 10.1016/j.knosys.2020.106619_b13 article-title: Multiple objective optimization with vector evaluated genetic algorithms – start-page: 2354 year: 2013 ident: 10.1016/j.knosys.2020.106619_b78 article-title: Wilcoxon rank sum test publication-title: Encyclopedia Syst. Biol. doi: 10.1007/978-1-4419-9863-7_1185 – year: 2019 ident: 10.1016/j.knosys.2020.106619_b39 article-title: CCSA: Conscious neighborhood-based crow search algorithm for solving global optimization problems publication-title: Appl. Soft Comput. – volume: 375 start-page: 30 year: 2017 ident: 10.1016/j.knosys.2020.106619_b46 article-title: Multi-objective particle swarm optimization based on global margin ranking publication-title: Inform. Sci. doi: 10.1016/j.ins.2016.08.043 – year: 2017 ident: 10.1016/j.knosys.2020.106619_b49 article-title: Solving multi-objective aeroassisted spacecraft trajectory optimization problems using extended NSGA-II – year: 2009 ident: 10.1016/j.knosys.2020.106619_b71 article-title: Multiple trajectory search for unconstrained/constrained multi-objective optimization – year: 2009 ident: 10.1016/j.knosys.2020.106619_b18 article-title: Performance assessment of the hybrid archive-based micro genetic algorithm (AMGA) on the CEC09 test problems – volume: 82 start-page: 829 issue: 11–12 year: 2004 ident: 10.1016/j.knosys.2020.106619_b9 article-title: Multi-objective optimal design of truss structure with immune algorithm publication-title: Comput. Struct. doi: 10.1016/j.compstruc.2004.03.003 – volume: 46 start-page: 1222 issue: 9 year: 2014 ident: 10.1016/j.knosys.2020.106619_b36 article-title: Flower pollination algorithm: a novel approach for multiobjective optimization publication-title: Eng. Optim. doi: 10.1080/0305215X.2013.832237 – volume: 47 start-page: 106 year: 2016 ident: 10.1016/j.knosys.2020.106619_b41 article-title: Multi-objective grey wolf optimizer: a novel algorithm for multi-criterion optimization publication-title: Expert Syst. Appl. doi: 10.1016/j.eswa.2015.10.039 – volume: 95 start-page: 51 year: 2016 ident: 10.1016/j.knosys.2020.106619_b59 article-title: The whale optimization algorithm publication-title: Adv. Eng. Softw. doi: 10.1016/j.advengsoft.2016.01.008 – volume: 471 start-page: 233 year: 2019 ident: 10.1016/j.knosys.2020.106619_b26 article-title: A novel multi-objective evolutionary algorithm with fuzzy logic based adaptive selection of operators: FAME publication-title: Inform. Sci. doi: 10.1016/j.ins.2018.09.005 – volume: 55 start-page: 184 year: 2016 ident: 10.1016/j.knosys.2020.106619_b33 article-title: Multiobjective clustering analysis using particle swarm optimization publication-title: Expert Syst. Appl. doi: 10.1016/j.eswa.2016.02.009 – volume: 101 start-page: 90 year: 2016 ident: 10.1016/j.knosys.2020.106619_b77 article-title: A new quantum-behaved particle swarm optimization based on cultural evolution mechanism for multiobjective problems publication-title: Knowl.-Based Syst. doi: 10.1016/j.knosys.2016.03.009 |
| SSID | ssj0002218 |
| Score | 2.5874825 |
| Snippet | Recently, several meta-heuristics and evolutionary algorithms have been proposed for tackling optimization problems. Such methods tend to suffer from degraded... |
| SourceID | proquest crossref elsevier |
| SourceType | Aggregation Database Enrichment Source Index Database Publisher |
| StartPage | 106619 |
| SubjectTerms | Algorithm Algorithms Artificial Intelligence Convergence Dynamic distance Evolutionary algorithms Experiments Heuristic Multi-objective optimization Multiple objective analysis Nelder–Mead method Novels Objectives Opposition based learning Optimization Optimization algorithms Pareto optimization Pareto optimum Performance degradation Swarm Intelligence Tests Whale Optimization Algorithm Whales & whaling WOA |
| Title | A novel Whale Optimization Algorithm integrated with Nelder–Mead simplex for multi-objective optimization problems |
| URI | https://dx.doi.org/10.1016/j.knosys.2020.106619 https://www.proquest.com/docview/2490261959 |
| Volume | 212 |
| WOSCitedRecordID | wos000604528000008&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: PRVESC databaseName: Elsevier SD Freedom Collection Journals 2021 customDbUrl: eissn: 1872-7409 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0002218 issn: 0950-7051 databaseCode: AIEXJ dateStart: 19950201 isFulltext: true titleUrlDefault: https://www.sciencedirect.com providerName: Elsevier |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV1Jb9NAFB6FlgMXdkShoDlwswY5tsf2HA0qYlEDEkXkZtnjMXHq2FVionDjJyDxD_klvNkcNxWUHrhY8dh-muR9flvegtAztyhK2dacgEPLSSBCSrJCFudwUJ9eHrOMlWrYRDSZxNMp-zAa_bC1MOs6app4s2Fn_5XVsAbMlqWzV2B3TxQW4DMwHY7Adjj-E-MTp2nXonY-z0D2O-9BJCxMraWT1F_aZdXNFtsuESb5fCLktG6b-eDLdrzOqpKdgzcqEVHlHZI2n2v56LRDsmYozWpo6L6zsToi9WRhOkb3BnySF6ImL8By13-GHLezbGHqrFQKsDrV_N_GDI6r5Rz8Bl3R_VF8g0t1NYxbeGMVt6DnApAuiVzTbtbIYs_kVGtpCu5qqAXqBUGvYw7z56dNC18A_HxPLtrbz_fV3tF3fRaiTXCbp5pKKqmkmso1tO9FlIGo30_eHE3f9trd81TMuN-9LcdUOYMXd_Mnc2dH8Str5uQ2umncEJxo-NxBI9HcRbfsiA9sJP491CVYoQkrNOEhmnCPJrxFE5ZowhpNv77_lDjCBkcYcIR3cISHOMIWR_fRp1dHJy9fEzOog3A_djsCTnnJc0HzjGbgYJQ04wX1AlGE3KOFCHIOZnkc0ohT2W9x7OZBHtKipNyNo4Bz_wHaa9pGPES4YGHps6wER4IHYS5yJso4HIeZKNlY-OwA-fb3TLnpYi-HqdTp37h5gEj_1Jnu4nLJ_ZFlVWosUW1hpoC_S548tJxNjVCA6wFToQ7KHl1xI4_Rje27c4j2uuVX8QRd5-uuWi2fGmz-BoYKvPU |
| linkProvider | Elsevier |
| 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+novel+Whale+Optimization+Algorithm+integrated+with+Nelder%E2%80%93Mead+simplex+for+multi-objective+optimization+problems&rft.jtitle=Knowledge-based+systems&rft.au=Abdel-Basset%2C+Mohamed&rft.au=Mohamed%2C+Reda&rft.au=Mirjalili%2C+Seyedali&rft.date=2021-01-05&rft.issn=0950-7051&rft.volume=212&rft.spage=106619&rft_id=info:doi/10.1016%2Fj.knosys.2020.106619&rft.externalDBID=n%2Fa&rft.externalDocID=10_1016_j_knosys_2020_106619 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0950-7051&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0950-7051&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0950-7051&client=summon |