RT Journal Article
T1 On a single server queue with negative arrivals and request repeated
A1 Artalejo Rodríguez, Jesús Manuel
A1 Gómez-Corral, Antonio
AB 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.
PB Applied Probability Trust
SN 0021-9002
YR 1999
FD 1999
LK https://hdl.handle.net/20.500.14352/57421
UL https://hdl.handle.net/20.500.14352/57421
LA eng
NO European Commission
NO DGICYT
DS Docta Complutense
RD 6 abr 2025