TY - JOUR ID - 44919 TI - A New model for integrated lot sizing and scheduling in flexible job shop problem JO - Journal of Industrial and Systems Engineering JA - JISE LA - en SN - 1735-8272 AU - Sahraeian, Rashed AU - Rohaninejad, Mohammad AU - Fadavi, Mahmoud AD - Industrial Engineering, Shahed University Y1 - 2017 PY - 2017 VL - 10 IS - 3 SP - 72 EP - 91 KW - Lot-sizing KW - scheduling KW - flexible job shop KW - harmony search algorithm DO - N2 - In this paper an integrated lot-sizing and scheduling problem in a flexible job shop environment with machine-capacity-constraint is studied. The main objective is to minimize the total cost which includes the inventory costs, production costs and the costs of machine’s idle times. First, a new mixed integer programming model,with small bucket time approach,based onProportional Lot sizing and Scheduling Problems (PLSP), is proposed to formulate the problem. Since the problem under study is NP-hard, a modified harmony search algorithm, with a new built-in local search heuristic is proposed as solution technique.In this algorithm,it is improvised a New Harmony vector in two phases to enhance search ability.Additionally, Taguchi method is used to calibrate the parameters of the modified harmony search algorithm. Finally, comparative results demonstrate the effectiveness of the modified harmony search algorithm in solving the problem.It is also demonstrated that the proposed algorithm can find good quality solutions for all size problems. The objective values obtained by proposed algorithm are better from HS algorithm and exact method results. UR - https://www.jise.ir/article_44919.html L1 - https://www.jise.ir/article_44919_857b533b08afe51c115e8bcc215a98f9.pdf ER -