Numerical Analysis and Long Run Total Cost Optimization of Perishable Queuing Inventory Systems with Delayed Feedback

Abstract

Three-dimensional Perishable Queueing-Inventory System (PQIS) models with positive service time and delayed feedback are studied in this paper. We assume that the customers either leave the system with/without purchasing an item or join the orbit for the decision making. We apply the replenishment policy with the exponentially distributed positive order lead time. Approximate formulas are developed to calculate the joint distributions and performance measures of the system. High accuracy of the approximate formulas is illustrated by the numerical experiments. perishable queueing-inventory systems, positive service time, delayed feedback, order replenishment policy, finite and infinite 3D Markov Chains, calculation methods.