A discrete-time system with service control and repairs

• Autorzy: Ivan Atencia
• Języki publikacji: EN

Abstrakty

EN

This paper discusses a discrete-time queueing system with starting failures in which an arriving customer follows three different strategies. Two of them correspond to the LCFS (Last Come First Served) discipline, in which displacements or expulsions of customers occur. The third strategy acts as a signal, that is, it becomes a negative customer. Also examined is the possibility of failures at each service commencement epoch. We carry out a thorough study of the model, deriving analytical results for the stationary distribution. We obtain the generating functions of the number of customers in the queue and in the system. The generating functions of the busy period as well as the sojourn times of a customer at the server, in the queue and in the system, are also provided. We present the main performance measures of the model. The versatility of this model allows us to mention several special cases of interest. Finally, we prove the convergence to the continuous-time counterpart and give some numerical results that show the behavior of some performance measures with respect to the most significant parameters of the system.

Słowa kluczowe

EN

discrete-time queue; unreliable server; negative customers; busy period; sojourn times; continuous-time counterpart

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2014
• Tom: 24
• Numer: 3
• Strony: 471-484

Daty

wydano

2014

otrzymano

2013-08-19

poprawiono

2014-01-30

poprawiono

2014-03-26

Twórcy

autor

Ivan Atencia

• Department of Applied Mathematics, University of Malaga, Campus de Teatinos, 29071 Malaga, Spain

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Identyfikatory

DOI

10.2478/amcs-2014-0035