Blocking probabilities in Erlang loss queues with advance reservation

Research output: Contribution to journalArticleAcademicpeer-review

2 Citations (Scopus)

Abstract

We study the blocking probability in a continuous time loss queue, in which resources can be claimed a random time in advance. We identify classes of loss queues where the advance reservation results in increased or decreased blocking probabilities. The lower blocking probabilities are achieved because the system tends to favor short jobs. We provide analytical and numerical results to establish the connection between the system’s parameters and either an increase or decrease of blocking probabilities, compared to the system without reservation.
Original languageEnglish
Pages (from-to)187-196
Number of pages10
JournalStochastic models
Volume30
Issue number2
DOIs
Publication statusPublished - 2014

Fingerprint

Blocking Probability
Blocking probability
Reservation
Queue
Reservation systems
Continuous Time
Tend
Numerical Results
Decrease
Resources

Keywords

  • MSC-68M20
  • MSC-60K25
  • Erlang loss queue
  • Advance reservation

Cite this

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title = "Blocking probabilities in Erlang loss queues with advance reservation",
abstract = "We study the blocking probability in a continuous time loss queue, in which resources can be claimed a random time in advance. We identify classes of loss queues where the advance reservation results in increased or decreased blocking probabilities. The lower blocking probabilities are achieved because the system tends to favor short jobs. We provide analytical and numerical results to establish the connection between the system’s parameters and either an increase or decrease of blocking probabilities, compared to the system without reservation.",
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author = "{van de Vrugt}, Maartje and Nelli Litvak and Boucherie, {Richard J.}",
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Blocking probabilities in Erlang loss queues with advance reservation. / van de Vrugt, Maartje; Litvak, Nelli; Boucherie, Richard J.

In: Stochastic models, Vol. 30, No. 2, 2014, p. 187-196.

Research output: Contribution to journalArticleAcademicpeer-review

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T1 - Blocking probabilities in Erlang loss queues with advance reservation

AU - van de Vrugt, Maartje

AU - Litvak, Nelli

AU - Boucherie, Richard J.

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N2 - We study the blocking probability in a continuous time loss queue, in which resources can be claimed a random time in advance. We identify classes of loss queues where the advance reservation results in increased or decreased blocking probabilities. The lower blocking probabilities are achieved because the system tends to favor short jobs. We provide analytical and numerical results to establish the connection between the system’s parameters and either an increase or decrease of blocking probabilities, compared to the system without reservation.

AB - We study the blocking probability in a continuous time loss queue, in which resources can be claimed a random time in advance. We identify classes of loss queues where the advance reservation results in increased or decreased blocking probabilities. The lower blocking probabilities are achieved because the system tends to favor short jobs. We provide analytical and numerical results to establish the connection between the system’s parameters and either an increase or decrease of blocking probabilities, compared to the system without reservation.

KW - MSC-68M20

KW - MSC-60K25

KW - Erlang loss queue

KW - Advance reservation

U2 - 10.1080/15326349.2014.900388

DO - 10.1080/15326349.2014.900388

M3 - Article

VL - 30

SP - 187

EP - 196

JO - Stochastic models

JF - Stochastic models

SN - 1532-6349

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