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This paper deals with the performance optimization of FMSs modeled by Petri nets that aim to maximize the system\u2019s performance under a given budget by optimizing both quantities and types of resources, such as sensors and devices. Such an optimization problem is challenging since it is nonlinear; hence, a globally optimal solution is hard to achieve. Here, we developed a genetic algorithm combined with mixed-integer linear programming (MILP) to solve the problem. In this approach, a set of candidate resource allocation strategies, i.e., the choices of the number of resources, are first generated by using MILP. Then, the choices of the type and the cycle time of the resources are evaluated by MILP; the promising ones are used to spawn the next generation of candidate strategies. The effectiveness and efficiency of the developed methodology are illustrated by simulation studies.<\/jats:p>","DOI":"10.3390\/s23031447","type":"journal-article","created":{"date-parts":[[2023,1,30]],"date-time":"2023-01-30T02:01:18Z","timestamp":1675044078000},"page":"1447","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Performance Optimization for a Class of Petri Nets"],"prefix":"10.3390","volume":"23","author":[{"given":"Weijie","family":"Shi","sequence":"first","affiliation":[{"name":"School of Electro-Mechanical Engineering, Shaanxi University of Science and Technology, Xi\u2019an 710021, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2486-1246","authenticated-orcid":false,"given":"Zhou","family":"He","sequence":"additional","affiliation":[{"name":"School of Electrical and Control Engineering, Shaanxi University of Science and Technology, Xi\u2019an 710021, China"}]},{"given":"Chan","family":"Gu","sequence":"additional","affiliation":[{"name":"School of Electrical and Control Engineering, Shaanxi University of Science and Technology, Xi\u2019an 710021, China"}]},{"given":"Ning","family":"Ran","sequence":"additional","affiliation":[{"name":"College of Electronic and Information Engineering, Heibei University, Baoding 071002, China"}]},{"given":"Ziyue","family":"Ma","sequence":"additional","affiliation":[{"name":"School of Electro-Mechanical Engineering, Xidian University, Xi\u2019an 710071, China"}]}],"member":"1968","published-online":{"date-parts":[[2023,1,28]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"He, Z., Tang, B., and Luan, F. 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