Applying Multi-objective Geometric Programming to the Fuzzy Inventory of Kerosene in Al-Dora Refinery

Abstract

A multi-objective inventory model was formulated by decreasing the unit cost on which order depends. The model was formulated with three constraints: storage space, number of orders, and production cost. We note in the research that the cost parameters in the objective function and constraints are imprecise in nature. Hence, the cost criteria are superimposed on the objective function and constraints in an ambiguous environment. Geometric programming was used to solve the production model without fuzzy deficit. It turned out that this model is better, as different possibilities were taken, and the total cost at these possibilities was shown. The best order volume was (1544117.647) liters, because it achieved the lowest total cost of storage, which amounted to (94,577,205.91) Iraqi dinars.