The number of overlapping customers

Onno Boxma

doi:10.1016/j.orl.2024.107203

The number of overlapping customers

Onno Boxma

Stochastic Operations Research

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

6 Citations (Scopus)

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Abstract

We consider the number of overlapping customers in several single- and multiserver queues, i.e., the number of customers whose visit to a service system at some point in time has an overlap with that of a tagged customer. Restricting ourself to the FCFS policy, we obtain the probability generating function and moments of the number of overlaps in the M/G/1, M/G/1/N, M/M/c and G/M/c queue and (as an approximation) the M/G/c queue.

Original language	English
Article number	107203
Number of pages	5
Journal	Operations Research Letters
Volume	57
DOIs	https://doi.org/10.1016/j.orl.2024.107203
Publication status	Published - Nov 2024

Bibliographical note

Publisher Copyright:
© 2024 The Author(s)

Keywords

M/G/1 queue
Multiserver queue
Number of overlapping customers

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10.1016/j.orl.2024.107203

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title = "The number of overlapping customers",

abstract = "We consider the number of overlapping customers in several single- and multiserver queues, i.e., the number of customers whose visit to a service system at some point in time has an overlap with that of a tagged customer. Restricting ourself to the FCFS policy, we obtain the probability generating function and moments of the number of overlaps in the M/G/1, M/G/1/N, M/M/c and G/M/c queue and (as an approximation) the M/G/c queue.",

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AB - We consider the number of overlapping customers in several single- and multiserver queues, i.e., the number of customers whose visit to a service system at some point in time has an overlap with that of a tagged customer. Restricting ourself to the FCFS policy, we obtain the probability generating function and moments of the number of overlaps in the M/G/1, M/G/1/N, M/M/c and G/M/c queue and (as an approximation) the M/G/c queue.

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KW - Multiserver queue

KW - Number of overlapping customers

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VL - 57

JO - Operations Research Letters

JF - Operations Research Letters

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ER -

The number of overlapping customers

Abstract

Bibliographical note

Keywords

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