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

Abstract EN

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.