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Research Article | Open Access

Equilibrium strategies of customers and optimal inventory levels in a make-to-stock retrial queueing system

Yuejiao Wang1, Chenguang Cai2( )
School of Mathematics and Statistics, Hunan First Normal University, 410205, Changsha, China
School of Accounting, Hunan University of Finance and Economics, 410205, Changsha, China
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Abstract

We examined a retrial make-to-stock system based on a double-ended queue. When the queue length was negative, the inventory system contained only products, and customers were waiting in the retrial queue when the queue length was positive. We developed a model to study the expected cost of the entire system with strategic customers in the observable case and the fully observable case. We also obtained the optimal inventory levels under these two levels of information based on numerical experiments.

Keywords

make to stockretrial queuedouble-endedequilibrium strategiesoptimal inventory level
CLC number: 60K25, 91A80

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AIMS Mathematics
Volume 9 Issue 5,
May 2024
Pages 12211-12224
DOI: 10.3934/math.2024596

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Cite this article:
Wang Y, Cai C. Equilibrium strategies of customers and optimal inventory levels in a make-to-stock retrial queueing system. AIMS Mathematics, 2024, 9(5): 12211-12224. https://doi.org/10.3934/math.2024596

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Received: 19 December 2023
Revised: 09 February 2024
Accepted: 08 March 2024
Published: 15 May 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)