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September 2015 A note on the virtual waiting time in the stationary PH/M/c+D queue
Ken'ichi Kawanishi, Tetsuya Takine
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J. Appl. Probab. 52(3): 899-903 (September 2015). DOI: 10.1239/jap/1445543855

Abstract

In this paper we consider the stationary PH/M/c queue with deterministic impatience times (PH/M/c+D). We show that the probability density function of the virtual waiting time takes the form of a matrix exponential whose exponent is given explicitly by system parameters.

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Ken'ichi Kawanishi. Tetsuya Takine. "A note on the virtual waiting time in the stationary PH/M/c+D queue." J. Appl. Probab. 52 (3) 899 - 903, September 2015. https://doi.org/10.1239/jap/1445543855

Information

Published: September 2015
First available in Project Euclid: 22 October 2015

zbMATH: 1328.60203
MathSciNet: MR3415000
Digital Object Identifier: 10.1239/jap/1445543855

Subjects:
Primary: 60K25
Secondary: 68M20

Keywords: deterministic impatience time , matrix exponential form , PH/M/c queue , virtual waiting time

Rights: Copyright © 2015 Applied Probability Trust

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Vol.52 • No. 3 • September 2015
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