Two-commodity multi-server queueing-inventory system with compliment product and classical retrial facility Online publication date: Tue, 30-Apr-2024
by K. Jeganathan; M. Nithya; C. Sugapriya; S. Selvakumar
International Journal of Operational Research (IJOR), Vol. 50, No. 1, 2024
Abstract: This article explores a two-commodity stochastic queueing-inventory system (TCSQIS) along with a multi-server and a classical retrial facility. In this two-commodity, the first one is called a primary product (PP) and the second one is called a complimentary product (CP). The TCSQIS provides a multi-server service facility to an arriving customer in order to reduce the loss of arrival and increase more sales and profit. Suppose the arriving customer sees that all the servers are engaged or there are no sufficient products in the system, they go to an infinite orbit compulsorily. The customers in orbit can approach the system under classical retrial policy, whenever they confirm that the system must consist of at least one server that is free and positive stock. The stationary probability vector is obtained by the matix-geometric approach (MGA). Further, adequate examples are provided to explore the proposed model.
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