The Joint Stationary Multivariate Queue Length Distribution in a Single Server Queueing System with N Queues, Arbitrary Priorities, and a General Probabilistic Inter-Queue Transition Matrix

T. K. Wignall and E. G. Enns
Additional contact information
T. K. Wignall: University of Calgary
E. G. Enns: University of Calgary

Management Science, 1973, vol. 19, issue 7, 778-782

Abstract: In modern telephone systems utilizing computers, the realization of a single server feedback queueing system often arises. In this paper, it is assumed that an originating or transferred call to such a system requires a number of different services before leaving the system as a completed or rejected call. A customer may also repeat a portion of his services, omit some services, or leave the system after any service with some assigned probabilities. In this paper, we present a theorem on the joint multi-variate queue length distribution, in a system with N services or queues, arbitrary priorities, and a general probabilistic transition matrix inter-connecting the various queues.

Date: 1973
References: Add references at CitEc
Citations:

Downloads: (external link)
http://dx.doi.org/10.1287/mnsc.19.7.778 (application/pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:inm:ormnsc:v:19:y:1973:i:7:p:778-782

Access Statistics for this article

More articles in Management Science from INFORMS Contact information at EDIRC.
Bibliographic data for series maintained by Chris Asher ().