Development of a bi-objective 0-1 mixed-integer nonlinear response surface-based robust design optimization model for unbalanced experimental data
•A modified exchange algorithm is developed for the I-optimality criterion.•A model construction scheme is proposed with a weighted least squares method.•A bi-objective 0-1 mixed-integer nonlinear robust design model is proposed.•A nonlinear branch and bound method with the depth-first search is pro...
Saved in:
| Published in: | Computers & industrial engineering Vol. 158; p. 107446 |
|---|---|
| Main Author: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
Elsevier Ltd
01.08.2021
|
| Subjects: | |
| ISSN: | 0360-8352, 1879-0550 |
| Online Access: | Get full text |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Abstract | •A modified exchange algorithm is developed for the I-optimality criterion.•A model construction scheme is proposed with a weighted least squares method.•A bi-objective 0-1 mixed-integer nonlinear robust design model is proposed.•A nonlinear branch and bound method with the depth-first search is proposed.•The effectiveness of the proposed methodology is shown in the case study.
The purpose of this paper is to develop a model to obtain the optimum operating conditions under special engineering situations. These special situations are: (1) both qualitative and quantitative input variables are considered, (2) a specific number of design points is required, (3) the experimental design space is irregular due to physical constraints, and (4) the unbalanced experimental data is collected due to resource limitations and focusing on certain treatment combinations. Although such situations may occur in many processes, there has been little research on this subject. To address these research gaps, first, an I-optimal experimental design is selected to construct a design matrix by using a modified exchange algorithm. Second, a weighted least squares method is presented to deal with the unbalanced experimental data. Third, a bi-objective 0-1 mixed-integer nonlinear programming-based robust design model and its solution procedures are proposed to obtain optimum settings of both qualitative and quantitative variables. Finally, a case study, along with the comparative study, is presented. |
|---|---|
| AbstractList | •A modified exchange algorithm is developed for the I-optimality criterion.•A model construction scheme is proposed with a weighted least squares method.•A bi-objective 0-1 mixed-integer nonlinear robust design model is proposed.•A nonlinear branch and bound method with the depth-first search is proposed.•The effectiveness of the proposed methodology is shown in the case study.
The purpose of this paper is to develop a model to obtain the optimum operating conditions under special engineering situations. These special situations are: (1) both qualitative and quantitative input variables are considered, (2) a specific number of design points is required, (3) the experimental design space is irregular due to physical constraints, and (4) the unbalanced experimental data is collected due to resource limitations and focusing on certain treatment combinations. Although such situations may occur in many processes, there has been little research on this subject. To address these research gaps, first, an I-optimal experimental design is selected to construct a design matrix by using a modified exchange algorithm. Second, a weighted least squares method is presented to deal with the unbalanced experimental data. Third, a bi-objective 0-1 mixed-integer nonlinear programming-based robust design model and its solution procedures are proposed to obtain optimum settings of both qualitative and quantitative variables. Finally, a case study, along with the comparative study, is presented. |
| ArticleNumber | 107446 |
| Author | Özdemir, Akın |
| Author_xml | – sequence: 1 givenname: Akın surname: Özdemir fullname: Özdemir, Akın email: akin.ozdemir@omu.edu.tr organization: Department of Industrial Engineering, Ondokuz Mayıs University, Samsun 55139, Turkey |
| BookMark | eNp9kMtOAyEUhompibX6AO54ASpn7hNXpl6TJm50PWHg0NBMYQK0qT6GTyy1rlx0RQ75v3P5LsnEOouE3ACfA4fqdj2XBucZzyDVdVFUZ2QKTd0yXpZ8QqY8rzhr8jK7IJchrDnnRdnClHw_4A4HN27QRuo0FbQ3zPVrlNHskHIGdGP2qJixEVfoaZo7GIvCU49hdDYgDVuvhUTWi4CKetdvQ6QKg1lZ6sZoNuZLROMs3TiFA9XO063txSCsTHncj-jNYb4YqBJRXJFzLYaA13_vjHw8Pb4vXtjy7fl1cb9kMsvqyDQ0OleQN2Wet5UCzFtVckTV1rluoNWAlUKhM1lw1fcAGmWV9VmrC2hkis9IfewrvQvBo-6kib-LRi_M0AHvDmq7dfrH7qC2O6pNJPwjx3SB8J8nmbsjg-mknUHfhRQ5GDA-ye6UMyfoH6zAl1s |
| CitedBy_id | crossref_primary_10_1080_00207543_2022_2079014 crossref_primary_10_1016_j_cie_2022_108551 crossref_primary_10_1007_s13369_021_06434_5 crossref_primary_10_1016_j_cie_2024_110546 crossref_primary_10_1080_0305215X_2021_2016733 crossref_primary_10_1080_00207543_2023_2262065 crossref_primary_10_1016_j_cie_2024_110430 crossref_primary_10_1007_s43069_022_00121_3 crossref_primary_10_1016_j_cie_2021_107901 crossref_primary_10_1016_j_powtec_2024_119495 crossref_primary_10_1080_10826068_2023_2201942 crossref_primary_10_1080_10826068_2024_2312450 |
| Cites_doi | 10.1016/j.apenergy.2016.11.042 10.1080/00207540050028115 10.1016/j.cie.2020.106742 10.1016/j.asoc.2016.06.020 10.1016/j.precisioneng.2014.02.013 10.1080/0305215X.2019.1577413 10.1081/QEN-120001874 10.1080/00224065.1990.11979204 10.1081/QEN-120027940 10.1080/00224065.1995.11979556 10.1080/0305215X.2019.1650924 10.1016/j.cie.2007.11.019 10.1002/qre.1970 10.1080/0305215X.2019.1569000 10.1016/j.cie.2010.11.006 10.1007/s00170-008-1509-2 10.1080/00207543.2015.1078920 10.1016/j.cie.2004.07.011 10.1080/0305215X.2020.1732365 10.1080/00224065.1993.11979454 10.1016/j.cie.2008.11.011 10.1080/00224065.2018.1404316 10.1016/j.ejor.2012.03.009 10.29137/umagd.497045 10.1080/0305215X.2016.1271881 10.1016/j.cie.2005.01.004 |
| ContentType | Journal Article |
| Copyright | 2021 Elsevier Ltd |
| Copyright_xml | – notice: 2021 Elsevier Ltd |
| DBID | AAYXX CITATION |
| DOI | 10.1016/j.cie.2021.107446 |
| DatabaseName | CrossRef |
| DatabaseTitle | CrossRef |
| DatabaseTitleList | |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Applied Sciences Engineering |
| EISSN | 1879-0550 |
| ExternalDocumentID | 10_1016_j_cie_2021_107446 S0360835221003508 |
| GroupedDBID | --K --M -~X .DC .~1 0R~ 1B1 1RT 1~. 1~5 29F 4.4 457 4G. 5GY 5VS 7-5 71M 8P~ 9JN 9JO AAAKG AABNK AACTN AAEDT AAEDW AAFWJ AAIAV AAIKC AAIKJ AAKOC AALRI AAMNW AAOAW AAQFI AAQXK AARIN AAXUO ABAOU ABMAC ABUCO ABXDB ABYKQ ACAZW ACDAQ ACGFO ACGFS ACNCT ACNNM ACRLP ADBBV ADEZE ADGUI ADMUD ADRHT ADTZH AEBSH AECPX AEKER AENEX AFKWA AFTJW AGHFR AGUBO AGYEJ AHHHB AHJVU AIEXJ AIGVJ AIKHN AITUG AJBFU AJOXV ALMA_UNASSIGNED_HOLDINGS AMFUW AMRAJ APLSM ARUGR ASPBG AVWKF AXJTR AZFZN BJAXD BKOJK BKOMP BLXMC CS3 DU5 EBS EFJIC EFLBG EJD EO8 EO9 EP2 EP3 FDB FEDTE FGOYB FIRID FNPLU FYGXN G-2 G-Q G8K GBLVA HAMUX HLZ HVGLF HZ~ H~9 IHE J1W JJJVA KOM LX9 LY1 LY7 M41 MHUIS MO0 MS~ N9A O-L O9- OAUVE OZT P-8 P-9 P2P PC. PQQKQ Q38 R2- RIG RNS ROL RPZ RXW SBC SDF SDG SDP SDS SES SET SEW SPC SPCBC SSB SSD SST SSW SSZ T5K TAE TN5 WUQ XPP ZMT ~G- 9DU AATTM AAXKI AAYWO AAYXX ABDPE ABJNI ABWVN ACLOT ACRPL ACVFH ADCNI ADNMO AEIPS AEUPX AFJKZ AFPUW AGQPQ AIGII AIIUN AKBMS AKRWK AKYEP ANKPU APXCP CITATION EFKBS ~HD |
| ID | FETCH-LOGICAL-c227t-f18f3d13853396d1e39d50eed973f819f1e6deaf2c40dbb11fec62b29f418c1e3 |
| ISICitedReferencesCount | 11 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000667165200054&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 0360-8352 |
| IngestDate | Sat Nov 29 07:17:21 EST 2025 Tue Nov 18 21:55:14 EST 2025 Fri Feb 23 02:40:16 EST 2024 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Keywords | Qualitative & quantitative variables Quality Robust design Bi-objective 0-1 mixed-integer nonlinear programming I-optimal experimental design Unbalanced experimental data |
| Language | English |
| LinkModel | OpenURL |
| MergedId | FETCHMERGED-LOGICAL-c227t-f18f3d13853396d1e39d50eed973f819f1e6deaf2c40dbb11fec62b29f418c1e3 |
| ParticipantIDs | crossref_citationtrail_10_1016_j_cie_2021_107446 crossref_primary_10_1016_j_cie_2021_107446 elsevier_sciencedirect_doi_10_1016_j_cie_2021_107446 |
| PublicationCentury | 2000 |
| PublicationDate | August 2021 2021-08-00 |
| PublicationDateYYYYMMDD | 2021-08-01 |
| PublicationDate_xml | – month: 08 year: 2021 text: August 2021 |
| PublicationDecade | 2020 |
| PublicationTitle | Computers & industrial engineering |
| PublicationYear | 2021 |
| Publisher | Elsevier Ltd |
| Publisher_xml | – name: Elsevier Ltd |
| References | Ding, Lin, Wei (b0045) 2004; 16 Myers, Montgomery, Anderson-Cook (b0090) 2016 Goos, Jones (b0050) 2011 Brito, Paiva, Paula, Dalosto, Ferreira, Balestrassi (b0015) 2016; 84 Brito, Paiva, Ferreira, Gomes, Balestrassi (b0010) 2014; 38 Lobato, da Silva, Cavalini, Steffen (b0080) 2020; 52 Lu, Wang, Yan, Huang (b0085) 2017; 187 Lin, Tu (b0075) 1995; 27 Kovach, Cho (b0070) 2009; 57 Ozdemir, Cho (b0120) 2019; 51 Tsai, Liukkonen (b0155) 2016; 48 Bonmin (Basic Open-Source Mixed Integer programming). Özdemir, Turkoz (b0125) 2020; 149 Ozdemir, Cho (b0115) 2017; 49 Köksoy, Yalcinoz (b0065) 2008; 55 SAS Institute (2013). Using JMP 11. SAS Institute. Taguchi (b0150) 1986 Chatterjee, Drosou, Georgiou, Koukouvinos (b0020) 2018; 50 Xiong, Li, Wu (b0165) 2020; 52 Ouyang, Ma, Byun, Wang, Tu (b0095) 2016; 54 Cho, Park (b0030) 2005; 48 Del Castillo, Montgomery (b0040) 1993; 25 Ozdemir, Cho (b0110) 2016; 32 . Ozdemir (b0105) 2021; 53 Shaibu, Cho (b0135) 2009; 41 Vining, Myers (b0160) 1990; 22 Cho, Kim, Kimbler, Phillips (b0025) 2000; 38 Kim, Cho (b0060) 2002; 14 Özdemir (b0100) 2019; 11 He, Zhu, Park (b0055) 2012; 221 Shin, Cho (b0140) 2005; 48 Shin, Samanlioglu, Cho, Wiecek (b0145) 2011; 60 He (10.1016/j.cie.2021.107446_b0055) 2012; 221 Ozdemir (10.1016/j.cie.2021.107446_b0105) 2021; 53 Chatterjee (10.1016/j.cie.2021.107446_b0020) 2018; 50 Lobato (10.1016/j.cie.2021.107446_b0080) 2020; 52 10.1016/j.cie.2021.107446_b0005 Özdemir (10.1016/j.cie.2021.107446_b0100) 2019; 11 Tsai (10.1016/j.cie.2021.107446_b0155) 2016; 48 Vining (10.1016/j.cie.2021.107446_b0160) 1990; 22 Goos (10.1016/j.cie.2021.107446_b0050) 2011 Ozdemir (10.1016/j.cie.2021.107446_b0110) 2016; 32 Lu (10.1016/j.cie.2021.107446_b0085) 2017; 187 Myers (10.1016/j.cie.2021.107446_b0090) 2016 Köksoy (10.1016/j.cie.2021.107446_b0065) 2008; 55 Ozdemir (10.1016/j.cie.2021.107446_b0120) 2019; 51 Shin (10.1016/j.cie.2021.107446_b0145) 2011; 60 Ozdemir (10.1016/j.cie.2021.107446_b0115) 2017; 49 Kim (10.1016/j.cie.2021.107446_b0060) 2002; 14 Shin (10.1016/j.cie.2021.107446_b0140) 2005; 48 Del Castillo (10.1016/j.cie.2021.107446_b0040) 1993; 25 Ding (10.1016/j.cie.2021.107446_b0045) 2004; 16 Lin (10.1016/j.cie.2021.107446_b0075) 1995; 27 Özdemir (10.1016/j.cie.2021.107446_b0125) 2020; 149 Taguchi (10.1016/j.cie.2021.107446_b0150) 1986 Ouyang (10.1016/j.cie.2021.107446_b0095) 2016; 54 Xiong (10.1016/j.cie.2021.107446_b0165) 2020; 52 10.1016/j.cie.2021.107446_b0130 Shaibu (10.1016/j.cie.2021.107446_b0135) 2009; 41 Brito (10.1016/j.cie.2021.107446_b0010) 2014; 38 Kovach (10.1016/j.cie.2021.107446_b0070) 2009; 57 Brito (10.1016/j.cie.2021.107446_b0015) 2016; 84 Cho (10.1016/j.cie.2021.107446_b0025) 2000; 38 Cho (10.1016/j.cie.2021.107446_b0030) 2005; 48 |
| References_xml | – volume: 48 start-page: 173 year: 2005 end-page: 180 ident: b0030 article-title: Robust design modeling and optimization with unbalanced data publication-title: Computers & Industrial Engineering – volume: 221 start-page: 241 year: 2012 end-page: 247 ident: b0055 article-title: A robust desirability function method for multi-response surface optimization considering model uncertainty publication-title: European Journal of Operational Research – volume: 53 start-page: 392 year: 2021 end-page: 407 ident: b0105 article-title: An publication-title: Engineering Optimization – volume: 187 start-page: 62 year: 2017 end-page: 71 ident: b0085 article-title: Robust optimal design of renewable energy system in nearly/net zero energy buildings under uncertainties publication-title: Applied Energy – volume: 25 start-page: 199 year: 1993 end-page: 204 ident: b0040 article-title: A nonlinear programming solution to the dual response problem publication-title: Journal of Quality Technology – reference: SAS Institute (2013). Using JMP 11. SAS Institute. – volume: 84 start-page: 1185 year: 2016 end-page: 1199 ident: b0015 article-title: Optimization of AISI 1045 end milling using robust parameter design publication-title: The International Journal of Advanced Manufacturing Technology – volume: 57 start-page: 237 year: 2009 end-page: 245 ident: b0070 article-title: A D-optimal design approach to constrained multiresponse robust design with prioritized mean and variance considerations publication-title: Computers & Industrial Engineering – volume: 60 start-page: 248 year: 2011 end-page: 255 ident: b0145 article-title: Computing trade-offs in robust design: Perspectives of the mean squared error publication-title: Computers & Industrial Engineering – volume: 51 start-page: 2030 year: 2019 end-page: 2048 ident: b0120 article-title: Response surface optimization for a nonlinearly constrained irregular experimental design space publication-title: Engineering Optimization – volume: 149 year: 2020 ident: b0125 article-title: Development of a D-optimal design-based 0-1 mixed-integer nonlinear robust parameter design optimization model for finding optimum design factor level settings publication-title: Computers & Industrial Engineering – volume: 16 start-page: 377 year: 2004 end-page: 385 ident: b0045 article-title: Dual-response surface optimization: A weighted MSE approach publication-title: Quality Engineering – reference: Bonmin (Basic Open-Source Mixed Integer programming). – volume: 52 start-page: 1344 year: 2020 end-page: 1361 ident: b0165 article-title: Robust parameter design for nonlinear signal–response systems using kriging models publication-title: Engineering Optimization – volume: 52 start-page: 1 year: 2020 end-page: 21 ident: b0080 article-title: Reliability-based robust multi-objective optimization applied to engineering system design publication-title: Engineering Optimization – volume: 11 start-page: 551 year: 2019 end-page: 559 ident: b0100 article-title: A mixed integer linear programming model for finding optimum operating conditions of experimental design variables using computer-aided optimal experimental designs publication-title: Uluslararası Mühendislik Araştırma ve Geliştirme Dergisi – volume: 48 start-page: 124 year: 2016 end-page: 136 ident: b0155 article-title: Robust parameter design for the micro-BGA stencil printing process using a fuzzy logic-based Taguchi method publication-title: Applied Soft Computing – volume: 38 start-page: 2309 year: 2000 end-page: 2325 ident: b0025 article-title: An integrated joint optimization procedure for robust and tolerance design publication-title: International Journal of Production Research – volume: 55 start-page: 208 year: 2008 end-page: 218 ident: b0065 article-title: Robust design using Pareto type optimization: A genetic algorithm with arithmetic crossover publication-title: Computers & Industrial Engineering – volume: 49 start-page: 1796 year: 2017 end-page: 1812 ident: b0115 article-title: Response surface-based robust parameter design optimization with both qualitative and quantitative variables publication-title: Engineering Optimization – volume: 27 start-page: 34 year: 1995 end-page: 39 ident: b0075 article-title: Dual response surface optimization publication-title: Journal of Quality Technology – year: 2016 ident: b0090 article-title: Response surface methodology: Process and product optimization using designed experiments – volume: 32 start-page: 2859 year: 2016 end-page: 2870 ident: b0110 article-title: A nonlinear integer programming approach to solving the robust parameter design optimization problem publication-title: Quality and Reliability Engineering International – volume: 38 start-page: 628 year: 2014 end-page: 638 ident: b0010 article-title: A normal boundary intersection approach to multiresponse robust optimization of the surface roughness in end milling process with combined arrays publication-title: Precision Engineering – reference: . – volume: 41 start-page: 631 year: 2009 end-page: 641 ident: b0135 article-title: Another view of dual response surface modeling and optimization in robust parameter design publication-title: The International Journal of Advanced Manufacturing Technology – volume: 48 start-page: 129 year: 2005 end-page: 140 ident: b0140 article-title: Bias-specified robust design optimization and its analytical solutions publication-title: Computers & Industrial Engineering – volume: 50 start-page: 66 year: 2018 end-page: 75 ident: b0020 article-title: Response modelling approach to robust parameter design methodology using supersaturated designs publication-title: Journal of Quality Technology – year: 1986 ident: b0150 article-title: Introduction to quality engineering (available from UNIPUB/Kraus International publications, White Plains, New York) – volume: 22 start-page: 38 year: 1990 end-page: 45 ident: b0160 article-title: Combining Taguchi and response surface philosophies: A dual response approach publication-title: Journal of Quality Technology – volume: 14 start-page: 355 year: 2002 end-page: 363 ident: b0060 article-title: Development of priority-based robust design publication-title: Quality Engineering – volume: 54 start-page: 3201 year: 2016 end-page: 3215 ident: b0095 article-title: An interval approach to robust design with parameter uncertainty publication-title: International Journal of Production Research – year: 2011 ident: b0050 article-title: Optimal design of experiments: A case study approach – volume: 187 start-page: 62 year: 2017 ident: 10.1016/j.cie.2021.107446_b0085 article-title: Robust optimal design of renewable energy system in nearly/net zero energy buildings under uncertainties publication-title: Applied Energy doi: 10.1016/j.apenergy.2016.11.042 – volume: 38 start-page: 2309 issue: 10 year: 2000 ident: 10.1016/j.cie.2021.107446_b0025 article-title: An integrated joint optimization procedure for robust and tolerance design publication-title: International Journal of Production Research doi: 10.1080/00207540050028115 – volume: 149 year: 2020 ident: 10.1016/j.cie.2021.107446_b0125 article-title: Development of a D-optimal design-based 0-1 mixed-integer nonlinear robust parameter design optimization model for finding optimum design factor level settings publication-title: Computers & Industrial Engineering doi: 10.1016/j.cie.2020.106742 – volume: 48 start-page: 124 year: 2016 ident: 10.1016/j.cie.2021.107446_b0155 article-title: Robust parameter design for the micro-BGA stencil printing process using a fuzzy logic-based Taguchi method publication-title: Applied Soft Computing doi: 10.1016/j.asoc.2016.06.020 – volume: 38 start-page: 628 issue: 3 year: 2014 ident: 10.1016/j.cie.2021.107446_b0010 article-title: A normal boundary intersection approach to multiresponse robust optimization of the surface roughness in end milling process with combined arrays publication-title: Precision Engineering doi: 10.1016/j.precisioneng.2014.02.013 – volume: 52 start-page: 1 issue: 1 year: 2020 ident: 10.1016/j.cie.2021.107446_b0080 article-title: Reliability-based robust multi-objective optimization applied to engineering system design publication-title: Engineering Optimization doi: 10.1080/0305215X.2019.1577413 – volume: 14 start-page: 355 issue: 3 year: 2002 ident: 10.1016/j.cie.2021.107446_b0060 article-title: Development of priority-based robust design publication-title: Quality Engineering doi: 10.1081/QEN-120001874 – year: 2016 ident: 10.1016/j.cie.2021.107446_b0090 – volume: 22 start-page: 38 issue: 1 year: 1990 ident: 10.1016/j.cie.2021.107446_b0160 article-title: Combining Taguchi and response surface philosophies: A dual response approach publication-title: Journal of Quality Technology doi: 10.1080/00224065.1990.11979204 – volume: 16 start-page: 377 issue: 3 year: 2004 ident: 10.1016/j.cie.2021.107446_b0045 article-title: Dual-response surface optimization: A weighted MSE approach publication-title: Quality Engineering doi: 10.1081/QEN-120027940 – volume: 27 start-page: 34 issue: 1 year: 1995 ident: 10.1016/j.cie.2021.107446_b0075 article-title: Dual response surface optimization publication-title: Journal of Quality Technology doi: 10.1080/00224065.1995.11979556 – volume: 52 start-page: 1344 issue: 8 year: 2020 ident: 10.1016/j.cie.2021.107446_b0165 article-title: Robust parameter design for nonlinear signal–response systems using kriging models publication-title: Engineering Optimization doi: 10.1080/0305215X.2019.1650924 – volume: 55 start-page: 208 issue: 1 year: 2008 ident: 10.1016/j.cie.2021.107446_b0065 article-title: Robust design using Pareto type optimization: A genetic algorithm with arithmetic crossover publication-title: Computers & Industrial Engineering doi: 10.1016/j.cie.2007.11.019 – volume: 32 start-page: 2859 issue: 8 year: 2016 ident: 10.1016/j.cie.2021.107446_b0110 article-title: A nonlinear integer programming approach to solving the robust parameter design optimization problem publication-title: Quality and Reliability Engineering International doi: 10.1002/qre.1970 – volume: 51 start-page: 2030 issue: 12 year: 2019 ident: 10.1016/j.cie.2021.107446_b0120 article-title: Response surface optimization for a nonlinearly constrained irregular experimental design space publication-title: Engineering Optimization doi: 10.1080/0305215X.2019.1569000 – volume: 60 start-page: 248 issue: 2 year: 2011 ident: 10.1016/j.cie.2021.107446_b0145 article-title: Computing trade-offs in robust design: Perspectives of the mean squared error publication-title: Computers & Industrial Engineering doi: 10.1016/j.cie.2010.11.006 – ident: 10.1016/j.cie.2021.107446_b0005 – year: 2011 ident: 10.1016/j.cie.2021.107446_b0050 – volume: 41 start-page: 631 issue: 7–8 year: 2009 ident: 10.1016/j.cie.2021.107446_b0135 article-title: Another view of dual response surface modeling and optimization in robust parameter design publication-title: The International Journal of Advanced Manufacturing Technology doi: 10.1007/s00170-008-1509-2 – volume: 54 start-page: 3201 issue: 11 year: 2016 ident: 10.1016/j.cie.2021.107446_b0095 article-title: An interval approach to robust design with parameter uncertainty publication-title: International Journal of Production Research doi: 10.1080/00207543.2015.1078920 – volume: 48 start-page: 129 issue: 1 year: 2005 ident: 10.1016/j.cie.2021.107446_b0140 article-title: Bias-specified robust design optimization and its analytical solutions publication-title: Computers & Industrial Engineering doi: 10.1016/j.cie.2004.07.011 – volume: 53 start-page: 392 issue: 3 year: 2021 ident: 10.1016/j.cie.2021.107446_b0105 article-title: An I-optimal experimental design-embedded nonlinear lexicographic goal programming model for optimization of controllable design factors publication-title: Engineering Optimization doi: 10.1080/0305215X.2020.1732365 – volume: 25 start-page: 199 issue: 3 year: 1993 ident: 10.1016/j.cie.2021.107446_b0040 article-title: A nonlinear programming solution to the dual response problem publication-title: Journal of Quality Technology doi: 10.1080/00224065.1993.11979454 – volume: 57 start-page: 237 issue: 1 year: 2009 ident: 10.1016/j.cie.2021.107446_b0070 article-title: A D-optimal design approach to constrained multiresponse robust design with prioritized mean and variance considerations publication-title: Computers & Industrial Engineering doi: 10.1016/j.cie.2008.11.011 – volume: 50 start-page: 66 issue: 1 year: 2018 ident: 10.1016/j.cie.2021.107446_b0020 article-title: Response modelling approach to robust parameter design methodology using supersaturated designs publication-title: Journal of Quality Technology doi: 10.1080/00224065.2018.1404316 – volume: 221 start-page: 241 issue: 1 year: 2012 ident: 10.1016/j.cie.2021.107446_b0055 article-title: A robust desirability function method for multi-response surface optimization considering model uncertainty publication-title: European Journal of Operational Research doi: 10.1016/j.ejor.2012.03.009 – volume: 11 start-page: 551 issue: 2 year: 2019 ident: 10.1016/j.cie.2021.107446_b0100 article-title: A mixed integer linear programming model for finding optimum operating conditions of experimental design variables using computer-aided optimal experimental designs publication-title: Uluslararası Mühendislik Araştırma ve Geliştirme Dergisi doi: 10.29137/umagd.497045 – volume: 49 start-page: 1796 issue: 10 year: 2017 ident: 10.1016/j.cie.2021.107446_b0115 article-title: Response surface-based robust parameter design optimization with both qualitative and quantitative variables publication-title: Engineering Optimization doi: 10.1080/0305215X.2016.1271881 – ident: 10.1016/j.cie.2021.107446_b0130 – volume: 48 start-page: 173 issue: 2 year: 2005 ident: 10.1016/j.cie.2021.107446_b0030 article-title: Robust design modeling and optimization with unbalanced data publication-title: Computers & Industrial Engineering doi: 10.1016/j.cie.2005.01.004 – year: 1986 ident: 10.1016/j.cie.2021.107446_b0150 – volume: 84 start-page: 1185 issue: 5–8 year: 2016 ident: 10.1016/j.cie.2021.107446_b0015 article-title: Optimization of AISI 1045 end milling using robust parameter design publication-title: The International Journal of Advanced Manufacturing Technology |
| SSID | ssj0004591 |
| Score | 2.3904085 |
| Snippet | •A modified exchange algorithm is developed for the I-optimality criterion.•A model construction scheme is proposed with a weighted least squares method.•A... |
| SourceID | crossref elsevier |
| SourceType | Enrichment Source Index Database Publisher |
| StartPage | 107446 |
| SubjectTerms | Bi-objective 0-1 mixed-integer nonlinear programming I-optimal experimental design Qualitative & quantitative variables Quality Robust design Unbalanced experimental data |
| Title | Development of a bi-objective 0-1 mixed-integer nonlinear response surface-based robust design optimization model for unbalanced experimental data |
| URI | https://dx.doi.org/10.1016/j.cie.2021.107446 |
| Volume | 158 |
| WOSCitedRecordID | wos000667165200054&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: 1879-0550 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0004591 issn: 0360-8352 databaseCode: AIEXJ dateStart: 19950101 isFulltext: true titleUrlDefault: https://www.sciencedirect.com providerName: Elsevier |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV1Lb9QwELaWlgMcKBQQhYJ84ETkVZw4Dx9L1Qo4VEgUaW9RHNvSLm22SnZXK34Gv5jxI48tDwESlyiy4jjKfBlP7G--Qeh1yoyoSBYTCXMrYaxipKw0I0msmY6FknHJbLGJ7OIin834x8lk0-XCbK6yus63W37zX00NbWBskzr7F-bubwoNcA5GhyOYHY5_ZPgRDcglP4o5WYqFc2xBSGhwPd8qSaxQhGqC2olllE3QOL6sCtp1o8tKETPFyaBZinW7CqTlegRL8DHXPnnT1dGxTMV1LQxJ0rAJdooG-Ny3QQ3BV5FoLebmQ-EQNQgjdiAwm_g8_Wr4-67k9hcT-r6l9XipIqI9Uc6vn3U5NANhyeVthcTEgW5Gcm44zzgJEydJ2_tpp_H-g893yw-LKfjCqRl1ajim7Ja-tp2xP5mxbMhJ7Y5qfgftR1nCwRvun7w_m30Y6cy7Wovds3X74ZYZeGugn0c0oyjl8iF64H8v8ImDxSM0UfUhOvC_Gtg78vYQ3R_pUD5G30aYwUuNSzzGDAbM4B3M4B4zuMMM3sEMdpjBDjN4jBlsMYMBM3jADB5jBhvMPEGfz88uT98RX6yDVFGUrYimuY4ljSH8i3kqqYq5TEKIwMARaAg7NVWpVKWOKhZKISjVqkojEXHNaF7B5U_RHjy8eoawYKoMswzsrUoWCZ4nYcllqGUsVcaUPEJh98KLyivZm4IqV0VHWVxAuyqMjQpnoyP0pu9y42Rcfncx66xY-DjUxZcFQO7X3Z7_W7cX6N7wrRyjvVWzVi_R3WqzmrfNKw_M7wiVsHw |
| 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=Development+of+a+bi-objective+0-1+mixed-integer+nonlinear+response+surface-based+robust+design+optimization+model+for+unbalanced+experimental+data&rft.jtitle=Computers+%26+industrial+engineering&rft.au=%C3%96zdemir%2C+Ak%C4%B1n&rft.date=2021-08-01&rft.pub=Elsevier+Ltd&rft.issn=0360-8352&rft.eissn=1879-0550&rft.volume=158&rft_id=info:doi/10.1016%2Fj.cie.2021.107446&rft.externalDocID=S0360835221003508 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0360-8352&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0360-8352&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0360-8352&client=summon |