A New Multi-objective Inventory Model under Stochastic Conditions with Considering Perishable Costs

Abstract: This paper presents a new multiple objectives model for the optimal production for an inventory control system. The stocked items may be deteriorates and the systems costs will be change over the time. In the real situation, some but not all customers will wait for backlogged items during a shortage period and therefore, the model incorporates partial backlogging. The demand rate can be a function of inflation and time value of money where the inflation and time horizon i.e., period of business, both are random in nature. The objectives of the problem are: (1) Minimization of the total expected present value of costs over time horizon (consists of the deterioration cost, production cost, inventory holding cost, backordering cost, lost sale cost and ordering cost) and (2) Decreasing the total quantity of goods in the warehouse over time horizon. We propose the ideal point approach to formulate the model. The numerical example has been provided for evaluation and validation of the theoretical results.