Priority queue with customer upgrades

Qi Ming He; Jingui Xie; Xiaobo Zhao

doi:10.1002/nav.21494

Priority queue with customer upgrades

Qi Ming He, Jingui Xie, Xiaobo Zhao

Research output: Contribution to journal › Article › peer-review

24 Scopus citations

Abstract

This article is concerned with a general multi-class multi-server priority queueing system with customer priority upgrades. The queueing system has various applications in inventory control, call centers operations, and health care management. Through a novel design of Lyapunov functions, and using matrix-analytic methods, sufficient conditions for the queueing system to be stable or instable are obtained. Bounds on the queue length process are obtained by a sample path method, with the help of an auxiliary queueing system.

Original language	English
Pages (from-to)	362-375
Number of pages	14
Journal	Naval Research Logistics
Volume	59
Issue number	5
DOIs	https://doi.org/10.1002/nav.21494
State	Published - Aug 2012
Externally published	Yes

Keywords

customer upgrades
matrix-analytic methods
priority queue
stability/ergodicity

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10.1002/nav.21494

Cite this

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Priority queue with customer upgrades

Abstract

Keywords

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