The M/M/1 repairable queueing system with variable breakdown rates

Authors:
Sheng-Li Lv;Jing-Bo Li;De-Quan Yue
Affiliations:
College of Science Yanshan University, Qinhuangdao, China;Department of Mathematic Hebei Normal University of Science and Technology, Qinhuangdao, China;College of Science Yanshan University, Qinhuangdao, China
Venue:
CCDC'09 Proceedings of the 21st annual international conference on Chinese control and decision conference
Year:
2009

Citing 2
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Fundamentals of queueing theory (2nd ed.).

Fundamentals of queueing theory (2nd ed.).
Optimal maintenance policies for single-server queueing systems subject to breakdowns

Operations Research

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Abstract

This paper considers the M/M/1 queueing system with service interruptions. The service station may breakdown, and the breakdown rate is changeable. A repairman maintains the service station. Using the transform method and generating function, we obtain the steady-state availability and mean queueing length of the system.