Analysis and optimization of hybrid replenishment policy in a double-sources queueing-inventory system with MAP arrivals

Arputham Shophia Lawrence (), Agassi Melikov and Balasubramanian Sivakumar
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Arputham Shophia Lawrence: Madurai Kamaraj University
Agassi Melikov: Azerbaijan National Academy of Sciences
Balasubramanian Sivakumar: Madurai Kamaraj University

Annals of Operations Research, 2023, vol. 331, issue 2, No 23, 1249-1267

Abstract: Abstract A hybrid replenishment policy in double sources queuing-inventory system with MAP flow of consumer customers is proposed. The service time of the consumer customer has a phase type distribution. If the inventory level drops to the reorder point s, then a regular order of volume $$S-s$$ S - s is generated to a slow and cheap source, where S denotes the maximum size of the system’s warehouse. If the inventory level falls below a certain threshold parameter r, where $$r

Keywords: Queuing-inventory system; Double sources; MAP flow; Hybrid replenishment policy; Matrix-geometric method; Optimization; 90B05; 60J27 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s10479-023-05646-2

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