Complutense University Library

On a single server queue with negative arrivals and request repeated

Artalejo, Jesús R. and Gómez Corral, Antonio (1999) On a single server queue with negative arrivals and request repeated. Journal of Applied Probability , 36 (3). pp. 907-918. ISSN 0021-9002

[img] PDF
Restricted to Repository staff only until 2020.

135kB

Official URL: http://projecteuclid.org/euclid.jap/1032374643

View download statistics for this eprint

==>>> Export to other formats

Abstract

There is a growing interest in queueing systems with negative arrivals; i.e. where the arrival of a negative customer has the effect of deleting some customer in the queue. Recently, Hanison and Pitel (1996) investigated the queue length distribution of a single server queue of type M/G/1 with negative arrivals. In this paper we extend the analysis to the context of queueing systems with request repeated. We show that the Limiting distribution of the system state can still be reduced to a Fredholm integral equation. We solve such an equation numerically by introducing an auxiliary 'truncated' system which can easily be evaluated with the help of a regenerative approach.

Item Type:Article
Uncontrolled Keywords:queueing theory; negative arrivals; linear request repeated; Fredholm integral equation; stable recursion schemes
Subjects:Sciences > Mathematics > Stochastic processes
ID Code:15874
Deposited On:10 Jul 2012 08:33
Last Modified:06 Feb 2014 10:33

Repository Staff Only: item control page