Superposition of renewal processes and an application to multi-server queues

Offer Kella*, Wolfgang Stadje

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

The aim of this paper is to compare the waiting times of customers in multiple-server queues, where the idle times are removed, with different numbers of servers. For this purpose we develop some results regarding the vector-valued marked point process whose points are arrival epochs of the superposition of renewal processes with different continuous inter-arrival distribution and the marks are the vectors of forward recurrence times of the various renewal processes at these arrival epochs.

Original languageAmerican English
Pages (from-to)1914-1924
Number of pages11
JournalStatistics and Probability Letters
Volume76
Issue number17
DOIs
StatePublished - 1 Nov 2006

Bibliographical note

Funding Information:
Supported by the Volkswagen Foundation.

Keywords

  • Forward recurrence times
  • Joint distribution
  • Multi-server queue
  • Renewal processes
  • Superposition

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