UTILIZATION OF SIMULATED ANNEALING IN OPTIMIZATION OF A MULTI-PRODUCT INVENTORY CONTROL MODEL WITH STOCHASTIC REPLENISHMENT AND SPACE CONSTRAINT

In this paper a multi-period inventory control problem will be analyzed. Periodic replenishment will happen totally stochastic and also the periods between two replenishments are independent and identically distributed random variables. indeed producer is encountered with customer in stochastic time. Also the decision variable has been chosen as an integer. In first model shortage will be back ordered and in second model shortage will be lost sale. Finally in third model combination of them will be considered. Three main specifications of the model which has led to be new are the stochastic period length, being multi-product and multi-constraint and the fact that the decision variables are integer. As this condition is deployed simultaneously therefore the created model is different from other models in the periodic review literature. The model of this problem is an integer nonlinear programming. Also for solving the model, the Simulated Annealing is used and for analyzing the output of the algorithms a numerical example will be exhibited.