Fuzzy programming model for lot sizing production planning problem

Authors:
Weizhen Yan;Jianhua Zhao;Zhe Cao
Affiliations:
Institute of Systems Engineering, Tianjin University, Tianjin, China;Department of Mathematics, Shijiazhuang College, Shijiazhuang, China;Department of Mathematical Sciences, Tsinghua University, Beijing, China
Venue:
FSKD'05 Proceedings of the Second international conference on Fuzzy Systems and Knowledge Discovery - Volume Part I
Year:
2005

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Abstract

This paper investigates lot sizing production planning problem with fuzzy unit profits, fuzzy capacities and fuzzy demands. First, the fuzzy production planning problem is formulated as a credibility measure based fuzzy programming model. Second, the crisp equivalent model is derived when the fuzzy parameters are characterized by trapezoidal fuzzy numbers. Then a fuzzy simulation-based genetic algorithm is designed for solving the proposed fuzzy programming model as well as its crisp equivalent. Finally, a numerical example is provided for illustrating the effectiveness of algorithm.