Time-dependent behaviour of an alternating service queue

Maria Vlasiou; Bert Zwart

doi:10.1080/15326340701300787

Time-dependent behaviour of an alternating service queue

Maria Vlasiou, Bert Zwart

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

8 Citations (Scopus)

11 Downloads (Pure)

Abstract

We consider a model describing the waiting time of a server alternating between two service points. This model is described by a Lindley-type equation. We are interested in the time-dependent behaviour of this system and derive explicit expressions for its time-dependent waiting-time distribution, the correlation between waiting times, and the distribution of the cycle length. Since our model is closely related to Lindley's recursion, we compare our results to those derived for Lindley's recursion.

Original language	English
Pages (from-to)	235-263
Journal	Stochastic models
Volume	23
Issue number	2
DOIs	https://doi.org/10.1080/15326340701300787
Publication status	Published - 2007
Externally published	Yes

Keywords

math.PR
60K25

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10.1080/15326340701300787

1404.5587v1Submitted version, 193 KB

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title = "Time-dependent behaviour of an alternating service queue",

abstract = " We consider a model describing the waiting time of a server alternating between two service points. This model is described by a Lindley-type equation. We are interested in the time-dependent behaviour of this system and derive explicit expressions for its time-dependent waiting-time distribution, the correlation between waiting times, and the distribution of the cycle length. Since our model is closely related to Lindley's recursion, we compare our results to those derived for Lindley's recursion. ",

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T1 - Time-dependent behaviour of an alternating service queue

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AU - Zwart, Bert

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AB - We consider a model describing the waiting time of a server alternating between two service points. This model is described by a Lindley-type equation. We are interested in the time-dependent behaviour of this system and derive explicit expressions for its time-dependent waiting-time distribution, the correlation between waiting times, and the distribution of the cycle length. Since our model is closely related to Lindley's recursion, we compare our results to those derived for Lindley's recursion.

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DO - 10.1080/15326340701300787

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VL - 23

SP - 235

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JO - Stochastic models

JF - Stochastic models

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Time-dependent behaviour of an alternating service queue

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