An Attempt to Understand the Queueing-Inventory System and the Consideration of M/M/1/1 Queueing-Inventory Model with Retrial of Unsatisfied Customers

An analysis of the MM11 queueing-inventory system with retrial and optimization

Abstract

Research on queueing systems with inventory control has captured much attention of researchers in the course of the last decades. The proposed issue is comprehended through lining theory for a solitary item. Characterization of queueing model is also given in the exhibited article. Further, extraordinary queueing models are elaborated clearly for the correct understanding of the models. In this case, transitional probabilities are calculated in steady state. This paper thinks about a MM11 queueing-inventory framework with retrial of unsatisfied customers. Arrivals taking place when server is busy, continue to an orbit of infinite capacity. From the orbit, the head of the queue alone resigns to access the server. An optimization issue is investigated numerically.