A note on the virtual waiting time in the stationary PH/M/c+D queue

A note on the virtual waiting time in the stationary PH/M/c+D queue

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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Veröffentlicht in:Journal of applied probability 2015-09, Vol.52 (3), p.899-903
Hauptverfasser: Kawanishi, Ken'ichi, Takine, Tetsuya
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0021-9002
1475-6072
DOI:10.1017/S002190020011352X