The number of overlapping customers

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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 languageEnglish
Article number107203
Number of pages5
JournalOperations Research Letters
Volume57
DOIs
Publication statusPublished - 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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