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In CFGLS, a probability-driven mixed-integer mutation (PMIU) is incorporated into the classical global DE\/rand\/2 and local DE\/best\/2 for improving the diversity and potentials of candidate solutions, respectively, and the collaborative framework further integrates both the superiority of global and local mutation for the purpose of achieving a good balance between exploration and exploitation. Moreover, the current population is adaptively reselected based on the efficient non-dominated sorting technique in APUM when the population distribution is too dense. Empirical studies on 10 benchmark problems and 2 numerical engineering cases demonstrate that the PSSADE shows a more competitive performance than the existing state-of-the-art algorithms. More importantly, PSSADE provides excellent performance in the design of infrared stealth material film.<\/jats:p>","DOI":"10.1007\/s40747-024-01478-0","type":"journal-article","created":{"date-parts":[[2024,5,27]],"date-time":"2024-05-27T07:02:20Z","timestamp":1716793340000},"page":"6009-6030","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Population state-driven surrogate-assisted differential evolution for expensive constrained optimization problems with mixed-integer variables"],"prefix":"10.1007","volume":"10","author":[{"given":"Jiansheng","family":"Liu","sequence":"first","affiliation":[]},{"given":"Bin","family":"Yuan","sequence":"additional","affiliation":[]},{"given":"Zan","family":"Yang","sequence":"additional","affiliation":[]},{"given":"Haobo","family":"Qiu","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2024,5,27]]},"reference":[{"key":"1478_CR1","doi-asserted-by":"publisher","first-page":"1430","DOI":"10.1109\/TCYB.2019.2939219","volume":"51","author":"S Zhou","year":"2021","unstructured":"Zhou S, Xing L, Zheng X et al (2021) A self-adaptive differential evolution algorithm for scheduling a single batch-processing machine with arbitrary job sizes and release times. 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