A production inventory model with server breakdown and customer impatience

DOI10.1007/s10479-023-05659-xOpenAlexW4388290810MaRDI QIDQ6148768

Ambily P. Mathew, V. C. Joshua, A. Z. Melikov, Nisha Mathew, A. Krishnamoorthy

Publication date: 8 February 2024

Published in: Annals of Operations Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10479-023-05659-x

zbMATH Keywords

MAPbreakdownphase type distributionimpatienceproduction inventory

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Reliability, availability, maintenance, inspection in operations research (90B25) Inventory, storage, reservoirs (90B05)

Cites Work

• Queues with interruptions: a survey
• Light traffic heuristic for an \(M/G/1\) queue with limited inventory
• Stock optimization in transportation/storage systems
• Analysis of the queueing-inventory system with impatient customers and mixed sales
• Analysis of customers' impatience in queues with server vacations
• Production inventory with service time and interruptions
• Production inventory with service time and vacation to the server
• Sufficient conditions for regularity, recurrence and ergodicity of Markov processes
• Queuing with Preemptive Priorities or with Breakdown
• A production queueing-inventory system with two-customer and a server subject to breakdown

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