Invariance of workload in queueing systems

Muhammad El-Taha ()
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Muhammad El-Taha: University of Southern Maine

Queueing Systems: Theory and Applications, 2016, vol. 83, issue 1, No 8, 192 pages

Abstract: Abstract In multi-server systems, invariance of workload is a key step in establishing conservation and strong conservation laws. Although several articles have dealt with the issue, invariance of workload has been either assumed, asserted without proof, or the proof given is unsatisfactory, except when service times are exponential. In this article we consider a multi-server queueing system with a work-conserving, non-preemptive, and non-anticipative scheduling rule and give a proof for the invariance of the workload in queue and in system for all such rules. We also show that invariance of workload holds for a subclass of strict priority rules.

Keywords: Invariance; Workload; Multi-server queues; Sample path analysis; Strict priority rules; Conservation laws; Strong conservation laws; 60k25 (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s11134-016-9474-1

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