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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
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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