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On the M/G/1 retrial queueing system with linear control policy

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Gómez-Corral, Antonio and Martín, M. (1995) On the M/G/1 retrial queueing system with linear control policy. Top, 3 (2). pp. 285-305. ISSN 1134-5764

Official URL: http://link.springer.com/article/10.1007%2FBF02568590


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Abstract

This paper is concerned with the study of a new M/G/1 retrial queueing system in which the delays between retrials are exponentially distributed random variables with linear intensityg(n)=α+nμ, when there aren≥1 customers in the retrial group. This new retrial discipline will be calledlinear control policy. We carry out an extensive analysis of the model, including existence of stationary regime, stationary distribution of the embedded Markov chain at epochs of service completions, joint distribution of the orbit size and the server state in steady state and busy period. The results agree with known results for special cases.


Item Type:Article
Uncontrolled Keywords:Retrial System; Ergodicity; Embedded Markov Chain; Markov Regenerative Process; k-Busy Period
Subjects:Sciences > Mathematics > Applied statistics
ID Code:30745
Deposited On:10 Jun 2015 10:34
Last Modified:10 Jun 2015 10:34

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