Title: A classical retrial queueing inventory system with two component demand rate

Authors: M. Abdul Reiyas; K. Jeganathan

Addresses: Department of Food Business Management, College of Food and Dairy Technology, TANUVAS, Chennai – 600052, India ' Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai – 600005, India

Abstract: We deal with a two component demand rate inventory system that is composed of two arrival patterns of customers known as homogeneous and non-homogeneous arrival patterns. The homogeneous arrival pattern occurs at zero inventory and the arriving customer compulsorily enters into an infinite orbit. But at the time of positive inventory, the non-homogeneous arrival pattern occurs at a rate which depends on the present stock level (PSL). We set a classical retrial policy (CRP) for an orbital demand and (s, Q) ordering policy to fix for any reorder. In this model, Laplace-Stieltjes transform (LST) is used to investigate the waiting time of a retrial demand under the stability condition and all the necessary system characteristics are measured using a matrix-geometric approach and further the sufficient numerical tabulations and illustrations are detailed to explore the suitability of the proposed model.

Keywords: stock-dependent; retrial queue; waiting time; lead time.

DOI: 10.1504/IJOR.2023.132813

International Journal of Operational Research, 2023 Vol.47 No.4, pp.508 - 533

Received: 09 Sep 2020
Accepted: 05 Jan 2021

Published online: 10 Aug 2023 *

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