Developing and Solving Two Inventory Control Models: A Fuzzy-Stochastic Multi-Objective Approach

In this paper we developed inventory control models (r,Q) & (R,T) in multi-items environment with two objectives as minimizing costs (holding & shortage) and risk level under constraints including available budgetary, the least service level, storage spaces & allowable quantities of shortage. Demand distribution functions are assumed to be normal and demands are supported by backlogging. At first we develop crisp model then fuzzy stochastic models with fuzzy budgetary, allowable quantities of shortage and shortage spaces (i.e. stochastic with normal distribution function) parameter. All of fuzzy numbers are triangular type. In methodology of solution we change model to a crisp multiobjective by using difuzzification of fuzzy constraints and fuzzy chances constrained programming methods, and then solve it by fuzzy logic method. Fuzzy-stochastic models to crisp multi objectives problem whit and then solved fuzzy logic method. Finally an illustrated example is taken and solved using LINGO package.

 

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