### Impacto

Artalejo, Jesús R. and Orlovsky, D. S. and Dudin, Alexander N.
(2005)
*Multi-server retrial model with variable number of active servers.*
Computers and Industrial Engineering , 48
(2).
pp. 273-288.
ISSN 0360-8352

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Official URL: http://www.sciencedirect.com/science/article/pii/S0360835205000148

## Abstract

This paper deals with a multi-server retrial queueing model in which the number of active servers depends on the number of customers in the system. To this end, the servers are switched on and off according to a multithreshold strategy. For a fixed choice of the threshold levels, the stationary distribution and various performance measures of the system are calculated. In the case of equidistant connection levels, the optimum threshold level is numerically computed.

Item Type: | Article |
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Additional Information: | The authors would like to thank the referees for their constructive comments on an earlier version of the paper. J. R. Artalejo thanks the support received from the research project BFM2002-02189. |

Uncontrolled Keywords: | Multi-server retrial queue; Threshold control; Variable number of active servers |

Subjects: | Sciences > Mathematics > Operations research |

ID Code: | 15665 |

References: | Artalejo, J. R. (1999a). A classified bibliography of research on retrial queues: Progress in 1990–1999. Top, 7, 187–211. Artalejo, J. R. (1999b). Accessible bibliography on retrial queues. Mathematical and Computer Modelling, 30, 223–233. Artalejo, J. R., Gomez-Corral, A., & Neuts, M. F. (2000). Numerical analysis of multiserver retrial queues operating under a full access policy. In G. Latouche, & P. Taylor (Eds.), Advances in matrix algorithmic methods for stochastic models (pp. 1–19). New Jersey: Notable Publications. Artalejo, J. R., & Pozo, M. (2002). Numerical calculation of the stationary distribution of the main multiserver retrial queue. Annals of Operations Research, 111, 41–56. Bazaraa, M. S., Sherali, H. D., & Shetty, C. M. (1993). Nonlinear programming: Theory and algorithms. New York: Wiley. Breuer, L., Dudin, A. N., & Klimenok, V. I. (2002). A retrial BMAP/PH/N system. Queueing Systems, 40, 433–457. Bright, L., & Taylor, P. G. (1995). Calculating the equilibrium distribution of level dependent quasi-birth-and-death processes. Communications in Statistics—Stochastic Models, 11, 497–525. Bright, L., & Taylor, P. G. (1996). Equilibrium distributions for level-dependent quasi-birth-and-death processes. In S. R. Chakravarthy, & A. S. Alfa (Eds.), Matrix analytic methods in stochastic models (pp. 359–375). New Jersey: Marcel Dekker. Chakravarthy, S. R., & Dudin, A. N. (2002). Multiserver retrial queue whith BMAP arriving and group services. Queueing Systems, 42, 5–31. Dudin,A.N.,& Klimenok, V.I.(2000).A retrial BMAP/SM/1 system with linear repeated requests.Queueing Systems,34,47–66. Falin, G. I., & Templeton, J. G. C. (1997). Retrial queues. London: Chapman & Hall. Gomez-Corral, A., Ramalhoto M. F. The stationary distribution of a markovian process arising in the theory of multiserver retrial queueing systems. Mathematical and Computer Modelling, 30 (1999), pp. 141–158 Kemeni, J., Shell, J., & Knapp, A. (1996). Denumerable Markov chains. New York: Van Nostrand. Klimenok, V. I. (1997). Sufficient condition for existence of 3-dimensional quasi-Toeplitz Markov chain stationary distribution. In Queues: flows, systems, networks, Proceedings of the 1997 Belorusian conference on queueing theory (pp. 142–145). Minsk: BSU. Latouche, G., & Ramaswami, V. (1999). Introduction to matrix analytic methods in stochastic modeling. Philadelphia: ASQ/SIAM. |

Deposited On: | 18 Jun 2012 07:57 |

Last Modified: | 06 Feb 2014 10:29 |

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