Note on the service time in an M/G/1 queue with bounded workload

Percy H. Brill

Statistics & Probability Letters, 2015, vol. 96, issue C, 162-169

Abstract: We consider a workload-barrier M/G/1 queue where service times that overshoot the barrier are truncated. We derive the pdf and expected value of an arbitrary service, the expected number served in a busy period, and related quantities. Examples are given.

Keywords: M/G/1 queue; Bounded workload; Truncated service time; Integral equations; Level crossing (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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DOI: 10.1016/j.spl.2014.09.019

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