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On the orbit characteristics of the M/G/1 retrial queue

Artalejo, Jesús R. and Falin , Guennadi I. (1996) On the orbit characteristics of the M/G/1 retrial queue. Naval Research Logistics (NRL), 43 (8). pp. 1147-1161. ISSN 0894-069X

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Official URL: http://onlinelibrary.wiley.com/doi/10.1002/(SICI)1520-6750(199612)43:8%3C1147::AID-NAV6%3E3.0.CO;2-E/pdf

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Abstract

In teletraffic applications of retrial queues only the service zone is observable. Another part of a retrial queue, the orbit, which represents the delay before repeated attempts to get service, cannot be observed. Thus, it is very important to get general results about behavior of the orbit. We investigate two characteristics of the orbit, namely, the orbit busy period and the orbit idle period, which seem to be very useful from this point of view.


Item Type:Article
Additional Information:

The first author acknowledges support from University Complutense of Madrid through Grant No. PR161/93-4777. We also thank the referees for their comments, which helped
us to improve the clarity of the article.

Subjects:Sciences > Mathematics > Operations research
ID Code:16174
References:

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Falin, G.I., “A Single-Line System with Secondary Orders,” Engineering Cybernetics Review.

Falin, G.I., “A Survey of Retrial Queues,” Queueing Systems, 7, 127-168 ( 1990).

Falin, G.I., “Estimation of Retrial Rate in a Retrial Queue,” Queueing Systems, 19, 23 1-246

Falin, G.I., and Fricker, C., “On the Virtual Waiting Time in an M/G/l Retrial Queue,” Journal ufApplied Probability, 28,446-460 ( 199 I ).

Yang, T., and Templeton, J.G.C., “A Survey on Retrial Queues,” Queueing Systems, 2, 201-233 ( 1987).

Yang, T., Posner, M.J.M., Templeton, J.G.C., and Li, H., “An Approximation Method for the M/G/ 1 Retrial Queue with General Retrial Times,” European Journal of Operational Research. 17,76-83 (1979). (1995). 76,552-562 (1994).

Deposited On:11 Sep 2012 07:59
Last Modified:06 Feb 2014 10:39

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