Abstract
A multi-item fuzzy Economic Order Quantity (EOQ) model which is a type of fuzzy nonlinear programming problems is considered in this paper. It describes the fuzzy objective and resource constraints with different types of membership functions according to different types of fuzzy objective and constraints. A family of solutions with an acceptable membership degree which is desired by the DM is found in this paper. We use a Genetic Algorithm (GA) with mutation and whole arithmetic crossover. Here, mutation is carried out along the weighted total forces direction using the random step lengths based on Erlang distribution. The total forces are given based on the idear that is to mimic the physics of electromagnetism by considering each individual as electrical charge. The numerical results of the model illustrate the accuracy and efficiency of the algorithm.
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Qian, W. (2010). An Inexact Algorithm Based on a GA for Multi-item Fuzzy EOQ Model. In: Cao, By., Wang, Gj., Guo, Sz., Chen, Sl. (eds) Fuzzy Information and Engineering 2010. Advances in Intelligent and Soft Computing, vol 78. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14880-4_89
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DOI: https://doi.org/10.1007/978-3-642-14880-4_89
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