Optimizing Queuing-Inventory Problems under Uncertainty: A Fuzzy Mathematical Programming

In this paper، a queuing-inventory system with continuous review inventory control policy and batch arrival queuing approach is proposed. To best of our knowledge، (I) demand function is stochastic and price dependent; (II) due to the uncertainty in real-world situations، a fuzzy programming approach is applied. Therefore، the presented model with goal of maximizing total profit of system analyzes the price and order quantity decision variables. Since the proposed model belongs to NP-hard problems، two Pareto-based approaches based on genetic algorithm is applied to solve the model. At end، several numerical illustrations are generated to demonstrate the model validity and algorithms performance.