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A probability maximization model based on rough approximation and its application to the inventory problem. (English) Zbl 1222.90056
Summary: We concentrate on dealing with a class of multi-objective programming problems with random coefficients and present its application to the multi-item inventory problem. The P-model is proposed to obtain the maximum probability of the objective functions and rough approximation is applied to deal with the feasible set with random parameters. The fuzzy programming technique and genetic algorithm are then applied to solve the crisp programming problem. Finally, the application to Auchan’s inventory system is given in order to show the efficiency of the proposed models and algorithms.
MSC:
90C29Multi-objective programming; goal programming
90C15Stochastic programming
90B05Inventory, storage, reservoirs
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