Priorities in M/G/1 queue with server vacations

Offer Kella; Uri Yechiali

doi:10.1002/1520-6750(198802)35:1<23::AID-NAV3220350103>3.0.CO;2-B

Priorities in M/G/1 queue with server vacations

Offer Kella^*
, Uri Yechiali

^*Corresponding author for this work

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

52 Scopus citations

Abstract

The M/G/1 queue with single and multiple server vacations is studied under both the preemptive and non‐preemptive priority regimes. A unified methodology is developed to derive the Laplace‐Stieltjes transform and first two moments of the waiting time W_k of a class‐k customer for each of the four models analyzed. The results are given a probabilistic representation involving mean residual lifetimes.

Original language	English
Pages (from-to)	23-34
Number of pages	12
Journal	Naval Research Logistics
Volume	35
Issue number	1
DOIs	https://doi.org/10.1002/1520-6750(198802)35:1<23::AID-NAV3220350103>3.0.CO;2-B
State	Published - Feb 1988
Externally published	Yes

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10.1002/1520-6750(198802)35:1<23::AID-NAV3220350103>3.0.CO;2-B

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abstract = "The M/G/1 queue with single and multiple server vacations is studied under both the preemptive and non‐preemptive priority regimes. A unified methodology is developed to derive the Laplace‐Stieltjes transform and first two moments of the waiting time Wk of a class‐k customer for each of the four models analyzed. The results are given a probabilistic representation involving mean residual lifetimes.",

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Priorities in M/G/1 queue with server vacations

Abstract

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