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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geprüft am 01.06.2024