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An Equilibrium Chance‐Constrained Multiobjective Programming Model with Birandom Parameters and Its Application to Inventory Problem

Zhimiao Tao and Jiuping Xu

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

Abstract: An equilibrium chance‐constrained multiobjective programming model with birandom parameters is proposed. A type of linear model is converted into its crisp equivalent model. Then a birandom simulation technique is developed to tackle the general birandom objective functions and birandom constraints. By embedding the birandom simulation technique, a modified genetic algorithm is designed to solve the equilibrium chance‐constrained multiobjective programming model. We apply the proposed model and algorithm to a real‐world inventory problem and show the effectiveness of the model and the solution method.

Date: 2013
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https://doi.org/10.1155/2013/382620

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