Fuzzy programming model for lot sizing production planning problem

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. © Springer-Verlag Berlin Heidelberg 2005.