COMBINATION OF GENETIC ALGORITHM WITH LAGRANGE MULTIPLIERS FOR LOT-SIZE DETERMINATION IN CAPACITY CONSTRAINED MULTI-PERIOD, MULTI-PRODUCT ANDMULTI-STAGE PROBLEMS
Publish place: International Journal of Industrial Engineering & Production Research، Vol: 18، Issue: 3
Publish Year: 1386
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJIEPR-18-3_003
تاریخ نمایه سازی: 7 شهریور 1393
Abstract:
In this paper a meta-heuristic approach has been presented to solve lot-size determination problems in a complex multi-stage production planning problems with production capacity constraint. This type of problems has multiple products with sequential production processes which are manufactured in different periods to meet customer’s demand. By determining the decision variables, machinery production capacity and customer’s demand, an integer linear program with the objective function of minimization of total costs of set-up, inventory and production is achieved. In the first step, the original problem is decomposed to several sub-problems using a heuristic approach based on the limited resource Lagrange multiplier. Thus, each sub-problem can be solved using one of the easier methods. In the second step, through combining the genetic algorithm with one of the neighborhood search techniques, a new approach has been developed for the sub-problems. In the third step, to obtain a better result, resource leveling is performed for the smaller problems using a heuristic algorithm. Using this method, each product’s lot-size is determined through several steps. This paper’s propositions have been studied and verified through considerable empirical experiments.
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Authors
M. Kargari
Master of Science, Tarbiat Modarres University, Department of Industrial Engineering
Z. Rezaee
Master of Science, Khatam University, Department of Industrial Engineering
H. Khademi Zare
Assistant Professor, Yazd University, Department of Industrial Engineering