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A self-guided differential evolution with neighborhood search for permutation flow shop scheduling
Affiliation:1. College of Computer Science and Technology, Nanjing University of Aeronautics and Astronautics, Nanjing, China;2. Collaborative Innovation Center of Novel Software Technology and Industrialization, Nanjing, China;1. Department of Industrial and Systems Engineering, Ohio University, Athens, OH 45701, USA;2. Management Department, College of Business, Ohio University, Athens, OH 45701, USA;3. Department of Mechanical and Industrial Engineering, Concordia University, Montreal, Quebec H3G 1M8, Canada;1. Department of Economics and Business Economics, Aarhus University, Denmark;2. Department of Civil Engineering, The University of Hong Kong, Hong Kong, China;1. Center of Excellence for mHealth and Smart Healthcare, China Mobile Research Institute, Beijing 100053, China;2. School of Electronic, Electrical and Communication Engineering, University of Chinese Academy of Sciences, Beijing 100049, China;1. Department of Industrial Management, Allameh Tabataba''i University, Tehran, Iran;2. Faculty of Industrial Management, Allameh Tabataba''i University, Tehran, Iran
Abstract:The permutation flow shop scheduling problem (PFSSP) is one of the most widely studied production scheduling problems and a typical NP-hard combinatorial optimization problems as well. In this paper, a self-guided differential evolution with neighborhood search (NS-SGDE) is presented for the PFSSP with the objectives of minimizing the maximum completion time. Firstly, some constructive heuristics are incorporated into the discrete harmony search (DHS) algorithm to initialize the population. Secondly, a guided agent based on the probabilistic model is proposed to guide the DE-based exploration phase to generate the offspring. Thirdly, multiple mutation and crossover operations based on the guided agent are employed to explore more effective solutions. Fourthly, the neighborhood search based on the variable neighborhood search (VNS) is designed to further improve the search ability. Moreover, the convergence of NS-SGDE for PFSSP is analyzed according to the theory of Markov chain. Computational simulations and comparisons with some existing algorithms based on some widely used benchmark instances of the PFSSP are carried out, which demonstrate the effectiveness of the proposed NS-SGDE in solving the PFSSP.
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