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

Department of Statistics

The Hebrew University of Jerusalem

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

Keywords

Finite-customer models
Laplace-Stieltjes transform
Queueing

All Science Journal Classification (ASJC) codes

Software
Management Science and Operations Research
Industrial and Manufacturing Engineering
Applied Mathematics

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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.",

keywords = "Finite-customer models, Laplace-Stieltjes transform, Queueing",

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

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year = "2025",

month = may,

doi = "10.1016/j.orl.2025.107267",

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T1 - Finite customer-pool queues

AU - Boxma, Onno

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

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U2 - 10.1016/j.orl.2025.107267

DO - 10.1016/j.orl.2025.107267

M3 - مقالة

SN - 0167-6377

VL - 60

JO - Operations Research Letters

JF - Operations Research Letters

M1 - 107267

ER -

Finite customer-pool queues

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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