a continuous review inventory control model within batch arrival queuing framework: a parameter-tuned imperialist competitive algorithm

in this paper, a multi-product continues review inventory control problem within batch arrival queuing approach (mqr/m/1) is modeled to find the optimal quantities of maximum inventory. the objective function is to minimize summation of ordering, holding and shortage costs under warehouse space, service level, and expected lost-sales shortage cost constraints from retailer and warehouse viewpoints. since the proposed model is np-hard, an efficient imperialist competitive algorithm (ica) is proposed to solve the model. to justify proposed ica, a simulated annealing algorithm has been utilized. in order to determine the best value of algorithms parameters that result in a better solution, a fine-tuning procedure is executed. finally, the performance of the proposed ica is analyzed using some numerical illustrations.