Developing & Solving an Inventory Control Model with Fuzzy Multi Objective Approach

In this paper, we presented the multi items inventory control model that its objective is minimizing total cost. This model is formulated under four constraints consist of storage spaces, budgetary, allowable shortage quantities and periodic order quantities. Two latest constraints is interval typically. In presented model, shortage is allowable and leadtime is zero. The parameters such as demands, costs (including: setting, holding, shortage) and constraints resources are fuzzy. Type of fuzzy numbers in demand & cost is triangular and numbers of constraints resources are positive trapezoid typically. In solution methodology, first we converted the cost objective function to three objective functions and then reduced fuzzy constraints to crisp constraints via defuzzification. Then we solved the resulted crisp multi objectives using Fuzzy Non Linear Programming (FNLP). Finally we presented a numerical example to solve and describing model applying Lingo software package.

 

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