{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,27]],"date-time":"2026-04-27T22:51:19Z","timestamp":1777330279673,"version":"3.51.4"},"reference-count":48,"publisher":"Springer Science and Business Media LLC","issue":"14","license":[{"start":{"date-parts":[[2022,4,15]],"date-time":"2022-04-15T00:00:00Z","timestamp":1649980800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2022,4,15]],"date-time":"2022-04-15T00:00:00Z","timestamp":1649980800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Soft Comput"],"published-print":{"date-parts":[[2022,7]]},"DOI":"10.1007\/s00500-022-07050-7","type":"journal-article","created":{"date-parts":[[2022,4,15]],"date-time":"2022-04-15T11:02:46Z","timestamp":1650020566000},"page":"6659-6684","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":43,"title":["MOTEO: a novel multi-objective thermal exchange optimization algorithm for engineering problems"],"prefix":"10.1007","volume":"26","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8348-6530","authenticated-orcid":false,"given":"Nima","family":"Khodadadi","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Siamak","family":"Talatahari","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Armin","family":"Dadras Eslamlou","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2022,4,15]]},"reference":[{"key":"7050_CR1","doi-asserted-by":"publisher","first-page":"106619","DOI":"10.1016\/j.knosys.2020.106619","volume":"212","author":"M Abdel-Basset","year":"2021","unstructured":"Abdel-Basset M, Mohamed R, Mirjalili S (2021) A novel whale optimization algorithm integrated with Nelder\u2013Mead simplex for multi-objective optimization problems. Knowl Based Syst 212:106619","journal-title":"Knowl Based Syst"},{"key":"7050_CR2","doi-asserted-by":"publisher","first-page":"678","DOI":"10.1016\/j.istruc.2020.02.004","volume":"24","author":"S Bakhshinezhad","year":"2020","unstructured":"Bakhshinezhad S, Mohebbi M (2020) Multi-objective optimal design of semi-active fluid viscous dampers for nonlinear structures using NSGA-II. Structures 24:678\u2013689","journal-title":"Structures"},{"key":"7050_CR3","doi-asserted-by":"publisher","first-page":"31","DOI":"10.1016\/j.jocs.2017.09.015","volume":"23","author":"C Bao","year":"2017","unstructured":"Bao C, Xu L, Goodman ED, Cao L (2017) A novel non-dominated sorting algorithm for evolutionary multi-objective optimization. J Comput Sci 23:31\u201343","journal-title":"J Comput Sci"},{"key":"7050_CR4","unstructured":"Binh TT, Korn U (1997) MOBES: a multiobjective evolution strategy for constrained optimization problems. In: The third international conference on genetic algorithms (Mendel 97), 1997, vol 25, p 27"},{"key":"7050_CR5","doi-asserted-by":"publisher","unstructured":"Coello CAC, Lechuga MS (2002) MOPSO: a proposal for multiple objective particle swarm optimization. In: Proceedings of the 2002 Congress on Evolutionary Computation. CEC\u201902 (Cat. No.02TH8600), 2002, vol 2, pp 1051\u20131056. https:\/\/doi.org\/10.1109\/CEC.2002.1004388.","DOI":"10.1109\/CEC.2002.1004388"},{"issue":"5","key":"7050_CR6","doi-asserted-by":"publisher","first-page":"388","DOI":"10.1007\/s00158-005-0527-z","volume":"30","author":"CAC Coello","year":"2005","unstructured":"Coello CAC, Pulido GT (2005) Multiobjective structural optimization using a microgenetic algorithm. Struct Multidiscip Optim 30(5):388\u2013403","journal-title":"Struct Multidiscip Optim"},{"key":"7050_CR7","volume-title":"Manual of steel construction: allowable stress design","author":"A Construction","year":"1989","unstructured":"Construction A (1989) Manual of steel construction: allowable stress design. American Institute of Steel Construction, Chicago"},{"issue":"2\u20134","key":"7050_CR8","doi-asserted-by":"publisher","first-page":"311","DOI":"10.1016\/S0045-7825(99)00389-8","volume":"186","author":"K Deb","year":"2000","unstructured":"Deb K (2000) An efficient constraint handling method for genetic algorithms. Comput Methods Appl Mech Eng 186(2\u20134):311\u2013338","journal-title":"Comput Methods Appl Mech Eng"},{"issue":"2","key":"7050_CR9","doi-asserted-by":"publisher","first-page":"182","DOI":"10.1109\/4235.996017","volume":"6","author":"K Deb","year":"2002","unstructured":"Deb K, Pratap A, Agarwal S, Meyarivan T (2002) A fast and elitist multiobjective genetic algorithm: NSGA-II. IEEE Trans Evol Comput 6(2):182\u2013197","journal-title":"IEEE Trans Evol Comput"},{"key":"7050_CR10","doi-asserted-by":"publisher","first-page":"107080","DOI":"10.1016\/j.knosys.2021.107080","volume":"224","author":"W Deng","year":"2021","unstructured":"Deng W et al (2021) Quantum differential evolution with cooperative coevolution framework and hybrid mutation strategy for large scale optimization. Knowl Based Syst 224:107080","journal-title":"Knowl Based Syst"},{"issue":"4","key":"7050_CR11","doi-asserted-by":"publisher","first-page":"28","DOI":"10.1109\/MCI.2006.329691","volume":"1","author":"M Dorigo","year":"2006","unstructured":"Dorigo M, Birattari M, Stutzle T (2006) Ant colony optimization. IEEE Comput Intell Mag 1(4):28\u201339","journal-title":"IEEE Comput Intell Mag"},{"issue":"2","key":"7050_CR12","doi-asserted-by":"publisher","first-page":"106","DOI":"10.1016\/j.advengsoft.2005.04.005","volume":"37","author":"OK Erol","year":"2006","unstructured":"Erol OK, Eksin I (2006) A new optimization method: big bang\u2013big crunch. Adv Eng Softw 37(2):106\u2013111","journal-title":"Adv Eng Softw"},{"key":"7050_CR13","doi-asserted-by":"publisher","first-page":"708","DOI":"10.1016\/j.istruc.2020.03.041","volume":"25","author":"S Etedali","year":"2020","unstructured":"Etedali S, Hasankhoie K, Sohrabi MR (2020) Optimal design of pure-friction isolators with and without restoring device: a multi-objective cuckoo search-based approach for seismic-excited structures. Structures 25:708\u2013719","journal-title":"Structures"},{"key":"7050_CR14","doi-asserted-by":"publisher","DOI":"10.7551\/mitpress\/1090.001.0001","volume-title":"Adaptation in natural and artificial systems: an introductory analysis with applications to biology, control, and artificial intelligence","author":"JH Holland","year":"1992","unstructured":"Holland JH (1992a) Adaptation in natural and artificial systems: an introductory analysis with applications to biology, control, and artificial intelligence. MIT Press, Cambridge"},{"issue":"1","key":"7050_CR15","doi-asserted-by":"publisher","first-page":"66","DOI":"10.1038\/scientificamerican0792-66","volume":"267","author":"JH Holland","year":"1992","unstructured":"Holland JH (1992b) Genetic algorithms. Sci Am 267(1):66\u201373","journal-title":"Sci Am"},{"issue":"12","key":"7050_CR16","doi-asserted-by":"publisher","first-page":"5955","DOI":"10.1007\/s00034-021-01761-2","volume":"40","author":"T Jin","year":"2021","unstructured":"Jin T, Xia H, Deng W, Li Y, Chen H (2021) Uncertain fractional-order multi-objective optimization based on reliability analysis and application to fractional-order circuit with Caputo type. Circuits Syst Signal Process 40(12):5955\u20135982","journal-title":"Circuits Syst Signal Process"},{"key":"7050_CR17","doi-asserted-by":"publisher","first-page":"69","DOI":"10.1016\/j.advengsoft.2017.03.014","volume":"110","author":"A Kaveh","year":"2017","unstructured":"Kaveh A, Dadras A (2017) A novel meta-heuristic optimization algorithm: thermal exchange optimization. Adv Eng Softw 110:69\u201384","journal-title":"Adv Eng Softw"},{"key":"7050_CR18","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-030-45473-9","volume-title":"Metaheuristic optimization algorithms in civil engineering: new applications","author":"A Kaveh","year":"2020","unstructured":"Kaveh A, Eslamlou AD (2020) Metaheuristic optimization algorithms in civil engineering: new applications, vol 900. Springer Nature, Cham"},{"issue":"3","key":"7050_CR19","doi-asserted-by":"publisher","first-page":"1029","DOI":"10.1007\/s00366-019-00747-8","volume":"36","author":"A Kaveh","year":"2020","unstructured":"Kaveh A, IlchiGhazaan M (2020) A new VPS-based algorithm for multi-objective optimization problems. Eng Comput 36(3):1029\u20131040","journal-title":"Eng Comput"},{"key":"7050_CR20","doi-asserted-by":"publisher","first-page":"54","DOI":"10.1016\/j.advengsoft.2013.01.004","volume":"58","author":"A Kaveh","year":"2013","unstructured":"Kaveh A, Laknejadi K (2013) A new multi-swarm multi-objective optimization method for structural design. Adv Eng Softw 58:54\u201369","journal-title":"Adv Eng Softw"},{"issue":"1","key":"7050_CR21","first-page":"49","volume":"6","author":"A Kaveh","year":"2019","unstructured":"Kaveh A, Mahdavi VR (2019) Multi-objective colliding bodies optimization algorithm for design of trusses. J Comput Des Eng 6(1):49\u201359","journal-title":"J Comput Des Eng"},{"issue":"3","key":"7050_CR22","first-page":"882","volume":"63","author":"A Kaveh","year":"2019","unstructured":"Kaveh A, Talatahari S, Khodadadi N (2019a) The hybrid invasive weed optimization-shuffled frog-leaping algorithm applied to optimal design of frame structures. Period Polytech Civ Eng 63(3):882\u2013897","journal-title":"Period Polytech Civ Eng"},{"issue":"2","key":"7050_CR23","doi-asserted-by":"publisher","first-page":"405","DOI":"10.1007\/s40996-019-00280-0","volume":"44","author":"A Kaveh","year":"2019","unstructured":"Kaveh A, Talatahari S, Khodadadi N (2019b) Hybrid invasive weed optimization-shuffled frog-leaping algorithm for optimal design of truss structures. Iran J Sci Technol Trans Civ Eng 44(2):405\u2013420","journal-title":"Iran J Sci Technol Trans Civ Eng"},{"key":"7050_CR26","doi-asserted-by":"crossref","unstructured":"Kaveh A, Khodadadi N, Azar BF, Talatahari (2020a) Optimal design of large-scale frames with an advanced charged system search algorithm using box-shaped sections. Eng Comput 37:1\u201321","DOI":"10.1007\/s00366-020-00955-7"},{"issue":"3","key":"7050_CR24","first-page":"904","volume":"64","author":"A Kaveh","year":"2020","unstructured":"Kaveh A, Eslamlou AD, Khodadadi N (2020b) Dynamic water strider algorithm for optimal design of skeletal structures. Period Polytech Civ Eng 64(3):904\u2013916","journal-title":"Period Polytech Civ Eng"},{"key":"7050_CR27","doi-asserted-by":"publisher","DOI":"10.1007\/s00366-020-01179-5","author":"A Kaveh","year":"2020","unstructured":"Kaveh A, Talatahari S, Khodadadi N (2020c) Stochastic paint optimizer: theory and application in civil engineering. Eng Comput. https:\/\/doi.org\/10.1007\/s00366-020-01179-5","journal-title":"Eng Comput"},{"issue":"1","key":"7050_CR25","first-page":"31","volume":"11","author":"A Kaveh","year":"2021","unstructured":"Kaveh A, Khodadadi N, Talatahari S (2021) A comparative study for the optimal design of steel structures using Css and Acss algorithms. Iran Univ Sci Technol 11(1):31\u201354","journal-title":"Iran Univ Sci Technol"},{"key":"7050_CR28","doi-asserted-by":"crossref","unstructured":"Kennedy J, Eberhart R (1995) Particle swarm optimization. In: Proceedings of ICNN\u201995-international conference on neural networks, vol 4, pp 1942\u20131948","DOI":"10.1109\/ICNN.1995.488968"},{"key":"7050_CR29","doi-asserted-by":"publisher","first-page":"16188","DOI":"10.1109\/ACCESS.2022.3146374","volume":"10","author":"N Khodadadi","year":"2021","unstructured":"Khodadadi N, Azizi M, Talatahari S, Sareh P (2021) Multi-objective crystal structure algorithm (MOCryStAl): introduction and performance evaluation. IEEE Access 10:16188\u201316208","journal-title":"IEEE Access"},{"key":"7050_CR30","doi-asserted-by":"publisher","DOI":"10.1109\/ACCESS.2022.3146374","author":"N Khodadadi","year":"2022","unstructured":"Khodadadi N, Vaclav S, Mirjalili S (2022) Dynamic arithmetic optimization algorithm for truss optimization under natural frequency constraints. IEEE Access. https:\/\/doi.org\/10.1109\/ACCESS.2022.3146374","journal-title":"IEEE Access"},{"key":"7050_CR31","doi-asserted-by":"crossref","unstructured":"Khodadadi N, Mirjalili S (2022) Truss optimization with natural frequency constraints using generalized normal distribution optimization. Appl Intell 1\u201314","DOI":"10.1007\/s10489-021-03051-5"},{"issue":"4","key":"7050_CR32","doi-asserted-by":"publisher","first-page":"3439","DOI":"10.1007\/s00366-020-01010-1","volume":"37","author":"S Kumar","year":"2021","unstructured":"Kumar S, Tejani GG, Pholdee N, Bureerat S (2021) Multi-objective modified heat transfer search for truss optimization. Eng Comput 37(4):3439\u20133454","journal-title":"Eng Comput"},{"issue":"3","key":"7050_CR33","doi-asserted-by":"publisher","first-page":"204","DOI":"10.1007\/s00158-002-0178-2","volume":"23","author":"A Kurpati","year":"2002","unstructured":"Kurpati A, Azarm S, Wu J (2002) Constraint handling improvements for multiobjective genetic algorithms. Struct Multidiscip Optim 23(3):204\u2013213","journal-title":"Struct Multidiscip Optim"},{"issue":"10","key":"7050_CR34","doi-asserted-by":"publisher","first-page":"3303","DOI":"10.1007\/s11269-018-1992-7","volume":"32","author":"WK Li","year":"2018","unstructured":"Li WK, Wang WL, Li L (2018) Optimization of water resources utilization by multi-objective moth-flame algorithm. Water Resour Manag 32(10):3303\u20133316","journal-title":"Water Resour Manag"},{"issue":"23\u201324","key":"7050_CR35","doi-asserted-by":"publisher","first-page":"2221","DOI":"10.1016\/j.compstruc.2011.08.013","volume":"89","author":"G-C Luh","year":"2011","unstructured":"Luh G-C, Lin C-Y (2011) Optimal design of truss-structures using particle swarm optimization. Comput Struct 89(23\u201324):2221\u20132232","journal-title":"Comput Struct"},{"issue":"1","key":"7050_CR36","doi-asserted-by":"publisher","first-page":"79","DOI":"10.1007\/s10489-016-0825-8","volume":"46","author":"S Mirjalili","year":"2017","unstructured":"Mirjalili S, Jangir P, Saremi S (2017a) Multi-objective ant lion optimizer: a multi-objective optimization algorithm for solving engineering problems. Appl Intell 46(1):79\u201395","journal-title":"Appl Intell"},{"key":"7050_CR37","doi-asserted-by":"publisher","first-page":"50","DOI":"10.1016\/j.knosys.2017.07.018","volume":"134","author":"S Mirjalili","year":"2017","unstructured":"Mirjalili S, Jangir P, Mirjalili SZ, Saremi S, Trivedi IN (2017b) Optimization of problems with multiple objectives using the multi-verse optimization algorithm. Knowl Based Syst 134:50\u201371","journal-title":"Knowl Based Syst"},{"issue":"2","key":"7050_CR38","doi-asserted-by":"publisher","first-page":"94","DOI":"10.1007\/BF01743536","volume":"10","author":"A Osyczka","year":"1995","unstructured":"Osyczka A, Kundu S (1995) A new method to solve generalized multicriteria optimization problems using the simple genetic algorithm. Struct Optim 10(2):94\u201399","journal-title":"Struct Optim"},{"issue":"13","key":"7050_CR39","doi-asserted-by":"publisher","first-page":"2232","DOI":"10.1016\/j.ins.2009.03.004","volume":"179","author":"E Rashedi","year":"2009","unstructured":"Rashedi E, Nezamabadi-Pour H, Saryazdi S (2009) GSA: a gravitational search algorithm. Inf Sci (n Y) 179(13):2232\u20132248","journal-title":"Inf Sci (n Y)"},{"issue":"2","key":"7050_CR40","doi-asserted-by":"publisher","first-page":"141","DOI":"10.1080\/03052150210915","volume":"34","author":"T Ray","year":"2002","unstructured":"Ray T, Liew KM (2002) A swarm metaphor for multiobjective design optimization. Eng Optim 34(2):141\u2013153","journal-title":"Eng Optim"},{"key":"7050_CR41","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.physrep.2016.08.001","volume":"655","author":"S Salcedo-Sanz","year":"2016","unstructured":"Salcedo-Sanz S (2016) Modern meta-heuristics based on nonlinear physics processes: a review of models and design procedures. Phys Rep 655:1\u201370","journal-title":"Phys Rep"},{"key":"7050_CR42","doi-asserted-by":"crossref","unstructured":"Sierra MR, Coello CAC (2005) Improving PSO-based multi-objective optimization using crowding, mutation and\u2208-dominance. In: International conference on evolutionary multi-criterion optimization, pp 505\u2013519","DOI":"10.1007\/978-3-540-31880-4_35"},{"issue":"3","key":"7050_CR43","doi-asserted-by":"publisher","first-page":"221","DOI":"10.1162\/evco.1994.2.3.221","volume":"2","author":"N Srinivasan","year":"1994","unstructured":"Srinivasan N, Deb K (1994) Multi-objective function optimisation using non-dominated sorting genetic algorithm. Evol Comp 2(3):221\u2013248","journal-title":"Evol Comp"},{"key":"7050_CR44","doi-asserted-by":"publisher","DOI":"10.1002\/9780470496916","volume-title":"Metaheuristics: from design to implementation","author":"E-G Talbi","year":"2009","unstructured":"Talbi E-G (2009) Metaheuristics: from design to implementation, vol 74. Wiley, New York"},{"issue":"1","key":"7050_CR45","doi-asserted-by":"publisher","first-page":"67","DOI":"10.1109\/4235.585893","volume":"1","author":"DH Wolpert","year":"1997","unstructured":"Wolpert DH, Macready WG (1997) No free lunch theorems for optimization. IEEE Trans Evol Comput 1(1):67\u201382","journal-title":"IEEE Trans Evol Comput"},{"key":"7050_CR46","doi-asserted-by":"publisher","first-page":"14","DOI":"10.1016\/j.autcon.2013.11.001","volume":"38","author":"M Yahya","year":"2014","unstructured":"Yahya M, Saka MP (2014) Construction site layout planning using multi-objective artificial bee colony algorithm with Levy flights. Autom Constr 38:14\u201329","journal-title":"Autom Constr"},{"issue":"1","key":"7050_CR47","first-page":"31","volume":"1","author":"U Y\u00fczge\u00e7","year":"2020","unstructured":"Y\u00fczge\u00e7 U, Kusoglu M (2020) Multi-objective Harris Hawks optimizer for multiobjective optimization problems. BSEU J Eng Res Technol 1(1):31\u201341","journal-title":"BSEU J Eng Res Technol"},{"issue":"2","key":"7050_CR48","doi-asserted-by":"publisher","first-page":"173","DOI":"10.1162\/106365600568202","volume":"8","author":"E Zitzler","year":"2000","unstructured":"Zitzler E, Deb K, Thiele L (2000) Comparison of multiobjective evolutionary algorithms: empirical results. Evol Comput 8(2):173\u2013195","journal-title":"Evol Comput"}],"container-title":["Soft Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-022-07050-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00500-022-07050-7\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-022-07050-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,6,17]],"date-time":"2022-06-17T12:24:23Z","timestamp":1655468663000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00500-022-07050-7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,4,15]]},"references-count":48,"journal-issue":{"issue":"14","published-print":{"date-parts":[[2022,7]]}},"alternative-id":["7050"],"URL":"https:\/\/doi.org\/10.1007\/s00500-022-07050-7","relation":{},"ISSN":["1432-7643","1433-7479"],"issn-type":[{"value":"1432-7643","type":"print"},{"value":"1433-7479","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,4,15]]},"assertion":[{"value":"21 March 2022","order":1,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"15 April 2022","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare that there is no conflict of interest regarding the publication of this paper. The authors certify that they have no affiliations with or involvement in any organization or entity with any financial interest (such as honoraria; educational grants; participation in speakers\u2019 bureaus; membership, employment, consultancies, stock ownership, or other equity interest; and expert testimony or patent-licensing arrangements) or non-financial interest (such as personal or professional relationships, affiliations, and knowledge or beliefs) in the subject matter or materials discussed in this manuscript.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}},{"value":"This article does not contain any studies with human participants or animals performed by any of the authors.","order":3,"name":"Ethics","group":{"name":"EthicsHeading","label":"Ethical approval"}},{"value":"This article has not been published previously, and it is not under consideration for publication elsewhere. This publication is approved by the author, and if accepted, it will not be published elsewhere in the same form, in English or in any other language, without the written consent of the copyright holder.","order":4,"name":"Ethics","group":{"name":"EthicsHeading","label":"Informed consent"}}]}}