Struktura obiektu

Autor:

Atencia, Ivan

Współtwórca:

Abaev, Pavel - ed. ; Razumchik, Rostislav - ed. ; Kołodziej, Joanna - ed.

Tytuł:

A discrete-time system with service control and repairs

Podtytuł:

.

Tytuł publikacji grupowej:

AMCS, Volume 24 (2014)

Temat i słowa kluczowe:

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

Abstract:

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.

Wydawca:

Zielona Góra: Uniwersytet Zielonogórski

Data wydania:

2014

Typ zasobu:

artykuł

DOI:

10.2478/amcs-2014-0035

Strony:

471-484

Źródło:

AMCS, volume 24, number 3 (2014) ; kliknij tutaj, żeby przejść

Jezyk:

eng

Prawa do dysponowania publikacją:

Biblioteka Uniwersytetu Zielonogórskiego