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

Autor(en): Kella, Offer
Stadje, Wolfgang 
Stichwörter: forward recurrence times; joint distribution; Mathematics; multi-server queue; renewal processes; Statistics & Probability; superposition
Erscheinungsdatum: 2006
Herausgeber: ELSEVIER SCIENCE BV
Journal: STATISTICS & PROBABILITY LETTERS
Volumen: 76
Ausgabe: 17
Startseite: 1914
Seitenende: 1924
Zusammenfassung: 
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. (c) 2006 Elsevier B.V. All rights reserved.
ISSN: 01677152
DOI: 10.1016/j.spl.2006.04.041

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