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

^*Corresponding author for this work

Department of Statistics

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

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
Journal	Operations Research Letters
Volume	60
DOIs	https://doi.org/10.1016/j.orl.2025.107267
State	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",

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.",

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author = "Onno Boxma and Offer Kella and Michel Mandjes",

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year = "2025",

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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.

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KW - Laplace-Stieltjes transform

KW - Queueing

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SN - 0167-6377

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Finite customer-pool queues

Abstract

Bibliographical note

Keywords

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