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

Offer Kella and Wolfgang Stadje

Statistics & Probability Letters, 2006, vol. 76, issue 17, 1914-1924

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.

Keywords: Renewal; processes; Superposition; Forward; recurrence; times; Joint; distribution; Multi-server; queue (search for similar items in EconPapers)
Date: 2006
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Citations: View citations in EconPapers (1)

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