{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,16]],"date-time":"2025-10-16T20:54:35Z","timestamp":1760648075258,"version":"3.41.2"},"reference-count":55,"publisher":"Wiley","issue":"12","license":[{"start":{"date-parts":[[2024,8,21]],"date-time":"2024-08-21T00:00:00Z","timestamp":1724198400000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["42271391","62006214"],"award-info":[{"award-number":["42271391","62006214"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Expert Systems"],"published-print":{"date-parts":[[2024,12]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>This paper presents a new version of Multi Agent Collaborative Search (MACS) with Adaptive Weights (named MACS\u2010AW). MACS is a multi\u2010agent memetic scheme for multi\u2010objective optimization originally developed to mix local and population\u2010based search. MACS was proven to perform well on a number of test cases but had three limitations: (i) the amount of computational resources allocated to each agent was not proportional to the difficulty of the sub\u2010problem the agent had to solve; (ii) the population\u2010based search (called social actions in the following) was using only one differential evolution (DE) operator with fixed parameters; (iii) the descent directions were not adapted during convergence, leading to a loss of diversity. In this paper, we propose an improved version of MACS, that implements: (i) a new utility function to better manage computational resources; (ii) new social actions with multiple adaptive DE operators; (iii) an automatic adaptation of the descent directions with an innovative trigger to initiate adaptation. First, MACS\u2010AW is compared against some state\u2010of\u2010art algorithms and its predecessor MACS2.1 on some standard benchmarks. Then, MACS\u2010AW is applied to the solution of two real\u2010life optimization problems and compared against MACS2.1. It will be shown that MACS\u2010AW produces competitive results on most test cases analysed in this paper. On the standard benchmark test set, MACS\u2010AW outperforms all other algorithms in 11 out of 30 cases and comes second in other 8 cases. On the two real engineering test set, MACS\u2010AW and its predecessor obtain same results.<\/jats:p>","DOI":"10.1111\/exsy.13709","type":"journal-article","created":{"date-parts":[[2024,8,22]],"date-time":"2024-08-22T03:01:23Z","timestamp":1724295683000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Multi agent collaborative search algorithm with adaptive weights"],"prefix":"10.1111","volume":"41","author":[{"ORCID":"https:\/\/orcid.org\/0009-0002-6775-6569","authenticated-orcid":false,"given":"Li","family":"Cao","sequence":"first","affiliation":[{"name":"School of Computer China University of Geosciences  Wuhan China"},{"name":"Hubei Key Laboratory of Intelligent Geo\u2010Information Processing China University of Geosciences  Wuhan China"},{"name":"Department of Mechanical &amp; Aerospace Engineering University of Strathclyde  Glasgow UK"}]},{"given":"Maocai","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Computer China University of Geosciences  Wuhan China"},{"name":"Hubei Key Laboratory of Intelligent Geo\u2010Information Processing China University of Geosciences  Wuhan China"}]},{"given":"Massimiliano","family":"Vasile","sequence":"additional","affiliation":[{"name":"Department of Mechanical &amp; Aerospace Engineering University of Strathclyde  Glasgow UK"}]},{"given":"Guangming","family":"Dai","sequence":"additional","affiliation":[{"name":"School of Computer China University of Geosciences  Wuhan China"},{"name":"Hubei Key Laboratory of Intelligent Geo\u2010Information Processing China University of Geosciences  Wuhan China"}]}],"member":"311","published-online":{"date-parts":[[2024,8,21]]},"reference":[{"key":"e_1_2_11_2_1","doi-asserted-by":"publisher","DOI":"10.5815\/ijisa.2019.04.03"},{"key":"e_1_2_11_3_1","doi-asserted-by":"publisher","DOI":"10.1109\/TCYB.2017.2737554"},{"key":"e_1_2_11_4_1","doi-asserted-by":"publisher","DOI":"10.1080\/0305215X.2023.2283038"},{"key":"e_1_2_11_5_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00500-019-04154-5"},{"key":"e_1_2_11_6_1","doi-asserted-by":"publisher","DOI":"10.1109\/TEVC.2015.2424921"},{"key":"e_1_2_11_7_1","doi-asserted-by":"publisher","DOI":"10.1109\/TEVC.2016.2519378"},{"key":"e_1_2_11_8_1","unstructured":"Davis L.(1985).Applying adaptive algorithms to epistatic domains. In\u2009International joint conference on artificial intelligence. Available from:https:\/\/api.semanticscholar.org\/CorpusID:2752879"},{"key":"e_1_2_11_9_1","doi-asserted-by":"publisher","DOI":"10.1162\/106365601750190406"},{"key":"e_1_2_11_10_1","unstructured":"Deb K. &Goyal M.(1996).A combined genetic adaptive search (geneas) for engineering design. Available from:https:\/\/api.semanticscholar.org\/CorpusID:18387364"},{"key":"e_1_2_11_11_1","doi-asserted-by":"publisher","DOI":"10.1145\/3376916"},{"key":"e_1_2_11_12_1","doi-asserted-by":"publisher","DOI":"10.1109\/TEVC.2005.861417"},{"key":"e_1_2_11_13_1","doi-asserted-by":"crossref","unstructured":"Jenkins P. Farag A. Jenkins J. S. Yao H. Wang S. &Li Z.(2021).Neural utility functions. In\u2009Proceedings of the AAAI conference on artificial intelligence\u2009(Vol.\u200935 pp.\u20097917\u20137925).","DOI":"10.1609\/aaai.v35i9.16966"},{"key":"e_1_2_11_14_1","doi-asserted-by":"publisher","DOI":"10.1109\/TEVC.2017.2707980"},{"key":"e_1_2_11_15_1","doi-asserted-by":"publisher","DOI":"10.1109\/TSMC.2018.2818175"},{"key":"e_1_2_11_16_1","doi-asserted-by":"publisher","DOI":"10.1109\/TEVC.2013.2239648"},{"issue":"6","key":"e_1_2_11_17_1","doi-asserted-by":"crossref","first-page":"909","DOI":"10.1109\/TEVC.2013.2293776","article-title":"Stable matching\u2010based selection in evolutionary multiobjective optimization","volume":"18","author":"Li K.","year":"2013","journal-title":"IEEE Transactions on Evolutionary Computation"},{"key":"e_1_2_11_18_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2021.03.008"},{"key":"e_1_2_11_19_1","doi-asserted-by":"publisher","DOI":"10.1109\/TEVC.2016.2631279"},{"key":"e_1_2_11_20_1","doi-asserted-by":"publisher","DOI":"10.1109\/TCYB.2020.3020630"},{"issue":"3","key":"e_1_2_11_21_1","first-page":"439","article-title":"Adapting reference vectors and scalarizing functions by growing neural gas to handle irregular pareto fronts","volume":"24","author":"Liu Y.","year":"2020","journal-title":"IEEE Transactions on Evolutionary Computation"},{"key":"e_1_2_11_22_1","doi-asserted-by":"publisher","DOI":"10.1007\/s11590-014-0816-9"},{"key":"e_1_2_11_23_1","doi-asserted-by":"publisher","DOI":"10.1109\/TEVC.2020.2978158"},{"key":"e_1_2_11_24_1","doi-asserted-by":"crossref","unstructured":"Minisci E. &Vasile M.(2014).Adaptive inationary differential evolution. In\u20092014 IEEE Congresson evolutionary computation(CEC)\u2009(pp.\u20091792\u20131799).","DOI":"10.1109\/CEC.2014.6900587"},{"key":"e_1_2_11_25_1","doi-asserted-by":"publisher","DOI":"10.1007\/s10845-017-1294-6"},{"key":"e_1_2_11_26_1","doi-asserted-by":"publisher","DOI":"10.1145\/3512290.3528732"},{"key":"e_1_2_11_27_1","doi-asserted-by":"publisher","DOI":"10.1162\/EVCO_a_00109"},{"key":"e_1_2_11_28_1","doi-asserted-by":"publisher","DOI":"10.1109\/TEVC.2008.927706"},{"key":"e_1_2_11_29_1","doi-asserted-by":"publisher","DOI":"10.2514\/1.G003839"},{"key":"e_1_2_11_30_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-89988-6_26"},{"key":"e_1_2_11_31_1","first-page":"1","volume-title":"2020 IEEE congress on evolutionary computation (CEC)","author":"Sallam K. M.","year":"2020"},{"key":"e_1_2_11_32_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2017.08.028"},{"key":"e_1_2_11_33_1","doi-asserted-by":"publisher","DOI":"10.1145\/3377929.3398082"},{"key":"e_1_2_11_34_1","doi-asserted-by":"publisher","DOI":"10.1109\/CEC45853.2021.9504954"},{"key":"e_1_2_11_35_1","doi-asserted-by":"publisher","DOI":"10.1109\/CEC.2013.6557555"},{"key":"e_1_2_11_36_1","doi-asserted-by":"publisher","DOI":"10.1109\/MCI.2017.2742868"},{"key":"e_1_2_11_37_1","doi-asserted-by":"publisher","DOI":"10.1109\/TEVC.2018.2866854"},{"key":"e_1_2_11_38_1","doi-asserted-by":"publisher","DOI":"10.1109\/TSMC.2019.2956288"},{"key":"e_1_2_11_39_1","doi-asserted-by":"publisher","DOI":"10.1196\/annals.1370.024"},{"key":"e_1_2_11_40_1","doi-asserted-by":"publisher","DOI":"10.1109\/SSCI.2016.7850103"},{"key":"e_1_2_11_41_1","doi-asserted-by":"publisher","DOI":"10.1177\/0954410011410274"},{"key":"e_1_2_11_42_1","doi-asserted-by":"publisher","DOI":"10.1109\/TCYB.2016.2550502"},{"key":"e_1_2_11_43_1","doi-asserted-by":"publisher","DOI":"10.1109\/ACCESS.2020.2990193"},{"key":"e_1_2_11_44_1","doi-asserted-by":"publisher","DOI":"10.1109\/TEVC.2016.2521175"},{"key":"e_1_2_11_45_1","doi-asserted-by":"publisher","DOI":"10.1109\/TEVC.2016.2587808"},{"key":"e_1_2_11_46_1","doi-asserted-by":"publisher","DOI":"10.1109\/TEVC.2012.2227145"},{"key":"e_1_2_11_47_1","doi-asserted-by":"publisher","DOI":"10.1109\/TEVC.2015.2443001"},{"key":"e_1_2_11_48_1","doi-asserted-by":"publisher","DOI":"10.1109\/TEVC.2009.2014613"},{"key":"e_1_2_11_49_1","doi-asserted-by":"publisher","DOI":"10.1109\/TEVC.2007.892759"},{"key":"e_1_2_11_50_1","doi-asserted-by":"publisher","DOI":"10.1109\/CEC.2010.5586185"},{"key":"e_1_2_11_51_1","doi-asserted-by":"publisher","DOI":"10.1109\/CEC.2009.4982949"},{"key":"e_1_2_11_52_1","unstructured":"Zhang Q. Zhou A. Zhao S. Suganthan P. N. Liu W. &Tiwari S.(2009).Multiobjective optimization test instances for the cec 2009 special session and competition."},{"key":"e_1_2_11_53_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2018.12.065"},{"key":"e_1_2_11_54_1","doi-asserted-by":"publisher","DOI":"10.1109\/TEVC.2015.2424251"},{"key":"e_1_2_11_55_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2022.118915"},{"key":"e_1_2_11_56_1","doi-asserted-by":"publisher","DOI":"10.1007\/s10589-013-9552-9"}],"container-title":["Expert Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1111\/exsy.13709","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,11,25]],"date-time":"2024-11-25T00:05:12Z","timestamp":1732493112000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1111\/exsy.13709"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,8,21]]},"references-count":55,"journal-issue":{"issue":"12","published-print":{"date-parts":[[2024,12]]}},"alternative-id":["10.1111\/exsy.13709"],"URL":"https:\/\/doi.org\/10.1111\/exsy.13709","archive":["Portico"],"relation":{},"ISSN":["0266-4720","1468-0394"],"issn-type":[{"type":"print","value":"0266-4720"},{"type":"electronic","value":"1468-0394"}],"subject":[],"published":{"date-parts":[[2024,8,21]]},"assertion":[{"value":"2023-08-31","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2024-07-31","order":2,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2024-08-21","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"e13709"}}