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oai:docta.ucm.es:20.500.14352/595982024-10-03T14:00:54Zcom_20.500.14352_14col_20.500.14352_15

Gómez Corral, Antonio Martín Conde, María 2023-06-20T20:07:09Z 2023-06-20T20:07:09Z 1995 1134-5764 10.1007/BF02568590 https://hdl.handle.net/20.500.14352/59598 http://link.springer.com/article/10.1007%2FBF02568590 http://link.springer.com/ 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. metadata only access On the M/G/1 retrial queueing system with linear control policy journal article