Finite customer-pool queues

Onno Boxma; Offer Kella; Michel Mandjes

doi:10.1016/j.orl.2025.107267

Finite customer-pool queues

Onno Boxma
, Offer Kella
, Michel Mandjes

Stochastic Operations Research

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

3 Citations (Scopus)

7 Downloads (Pure)

Abstract

In this paper we consider an M/G/1-type queue fed by a finite customer-pool. In terms of transforms, we characterize the time-dependent distribution of the number of customers and the workload, as well as the associated waiting times.

Original language	English
Article number	107267
Number of pages	6
Journal	Operations Research Letters
Volume	60
DOIs	https://doi.org/10.1016/j.orl.2025.107267
Publication status	Published - May 2025

Bibliographical note

Publisher Copyright:
© 2025 Elsevier B.V.

Keywords

Finite-customer models
Laplace-Stieltjes transform
Queueing

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10.1016/j.orl.2025.107267

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title = "Finite customer-pool queues",

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AU - Kella, Offer

AU - Mandjes, Michel

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AB - In this paper we consider an M/G/1-type queue fed by a finite customer-pool. In terms of transforms, we characterize the time-dependent distribution of the number of customers and the workload, as well as the associated waiting times.

KW - Finite-customer models

KW - Laplace-Stieltjes transform

KW - Queueing

UR - https://www.scopus.com/pages/publications/85219010798

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DO - 10.1016/j.orl.2025.107267

M3 - Article

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SN - 0167-6377

VL - 60

JO - Operations Research Letters

JF - Operations Research Letters

M1 - 107267

ER -

Finite customer-pool queues

Abstract

Bibliographical note

Keywords

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