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Titre du document / Document title

A Pollaczek-Khintchine formula for M/G/1 queues with disasters

Auteur(s) / Author(s)

JAIN G. (1) ; SIGMAN K. (1) ;

Affiliation(s) du ou des auteurs / Author(s) Affiliation(s)

(1) Columbia University, ETATS-UNIS

Résumé / Abstract

A disaster occurs in a queue when a negative arrival causes all the work (and therefore customers) to leave the system instantaneously. Recent papers have addressed several issues pertaining to queueing networks with negative arrivals under the i.i.d. exponential service times assumption. Here we relax this assumption and derive a Pollaczek-Khintchine-like formula for M/G/1 queues with disasters by making use of the preemptive LIFO discipline. As a byproduct, the stationary distribution of the remaining service time process is obtained for queues operating under this discipline. Finally, as an application, we obtain the Laplace transform of the stationary remaining service time of the customer in service for unstable preemptive LIFO MlGll queues.

Revue / Journal Title

Journal of applied probability    ISSN  0021-9002   CODEN JPRBAM 

Source / Source

1996, vol. 33, no4, pp. 1191-1200 (11 ref.)

Langue / Language

Anglais

Editeur / Publisher

Applied Probability Trust, Sheffield, ROYAUME-UNI  (1969) (Revue)

Mots-clés anglais / English Keywords

Stochastic process

;

Laplace transformation

;

Queueing network

;

Queue discipline

;

Service time

;

Mots-clés français / French Keywords

Processus stochastique

;

Transformation Laplace

;

Réseau file attente

;

Discipline file

;

Temps service

;

Mots-clés espagnols / Spanish Keywords

Proceso estocástico

;

Transformación Laplace

;

Red cola espera

;

Disciplina cola

;

Tiempo servicio

;

Localisation / Location

INIST-CNRS, Cote INIST : 12216, 35400006283122.0240

Nº notice refdoc (ud4) : 2605234



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