Title: Two-commodity multi-server queueing-inventory system with compliment product and classical retrial facility

Authors: K. Jeganathan; M. Nithya; C. Sugapriya; S. Selvakumar

Addresses: Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai – 600005, India ' Department of Mathematics, Queen Marry's College, Chennai – 600005, India ' Department of Mathematics, Queen Marry's College, Chennai – 600005, India ' Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai – 600005, India

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.

Keywords: multi-server; compliment product; infinite orbit; classical retrial policy; waiting time.

DOI: 10.1504/IJOR.2024.138142

International Journal of Operational Research, 2024 Vol.50 No.1, pp.63 - 93

Received: 25 Jun 2021
Accepted: 01 Aug 2021
Published online: 30 Apr 2024 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article