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

J.R. Artalejo · G. Falin

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Advanced Queuing Theory Analysis Probability and Risk Models Age of Information Optimization

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. © 1996 John Wiley & Sons, Inc.

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2002On the number of customers served in the M/G/1 retrial queue: first moments and maximum entropy approach 2007The M / G /1 retrial queue: New descriptors of the customer’s behavior 2002Distribution of the number of customers served in an M/G/1 retrial queue 1999M/G/1/r retrial queueing systems with priority of primary customers

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