{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:52:05Z","timestamp":1753887125457,"version":"3.41.2"},"reference-count":39,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2018,7,4]],"date-time":"2018-07-04T00:00:00Z","timestamp":1530662400000},"content-version":"vor","delay-in-days":184,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["51707044"],"award-info":[{"award-number":["51707044"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2018,1]]},"abstract":"<jats:p>Contactors are important components in circuits. To solve the multiobjective optimization problems (MOPs) of contactors, a niching multiobjective particle swarm optimization (NMOPSO) with the entropy weight ideal point theory is proposed in this paper. The new algorithm selecting and archiving the nondominated solutions based on the niching theory to ensure the diversity of the nondominated solutions. To avoid missing the extreme solutions of each objective during the multiobjective optimization process, extra particle swarms used to search the independent optimal solution of each objective are supplemented in this algorithm. In order to determine the best compromise solution, a method to select the compromise solution based on entropy weight ideal point theory is also proposed in this paper. Using the algorithm to optimize the characteristics of a typical direct\u2010acting contactor, the results show that the proposed algorithm can obtain the best compromise solution in MOPs.<\/jats:p>","DOI":"10.1155\/2018\/9054623","type":"journal-article","created":{"date-parts":[[2018,7,4]],"date-time":"2018-07-04T23:37:45Z","timestamp":1530747465000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["The Design of Contactors Based on the Niching Multiobjective Particle Swarm Optimization"],"prefix":"10.1155","volume":"2018","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6711-1456","authenticated-orcid":false,"given":"Wenying","family":"Yang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9784-1855","authenticated-orcid":false,"given":"Jiuwei","family":"Guo","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4478-1155","authenticated-orcid":false,"given":"Yang","family":"Liu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1026-6024","authenticated-orcid":false,"given":"Guofu","family":"Zhai","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2018,7,4]]},"reference":[{"key":"e_1_2_9_1_2","first-page":"53","article-title":"Key adjusted parameters and optimum method of electromagnetic relay based on orthogonal experimental design","volume":"24","author":"Qiya W.","year":"2009","journal-title":"Transactions of China Electrotechnical Society"},{"key":"e_1_2_9_2_2","first-page":"258","article-title":"Virtual prototyping and parameter optimization of differential electromagnetic relays with double permanent magnets","volume":"36","author":"Huimin L.","year":"2016","journal-title":"Proceedings of the CSEE"},{"key":"e_1_2_9_3_2","first-page":"106","article-title":"Fast algorithm of dynamic characteristics of electromagnetic relay and its application on optimization","volume":"30","author":"Guofu Z.","year":"2010","journal-title":"Proceedings of the CSEE"},{"key":"e_1_2_9_4_2","doi-asserted-by":"publisher","DOI":"10.1109\/tmag.2014.2332069"},{"key":"e_1_2_9_5_2","doi-asserted-by":"publisher","DOI":"10.1109\/tmag.2015.2486522"},{"key":"e_1_2_9_6_2","first-page":"416","article-title":"Genetic algorithms for multipobjective optimization: formulation discussion and generalization","author":"Fonseca C. 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