RT Journal Article
T1 Steady state solution of a single-server queue with linear repeated requests
A1 Artalejo Rodríguez, Jesús Manuel
A1 Gómez-Corral, Antonio
AB Queueing systems with repeated requests have many useful applications in communications and computer systems modeling. In the majority of previous work the repeat requests are made individually by each unsatisfied customer. However, there is in the literature another type of queueing situation, in which the time between two successive repeated attempts is independent of the number of customers applying for service. This paper deals with the M/G/1 queue with repeated orders in its most general setting, allowing the simultaneous presence of both types of repeat requests. We first study the steady state distribution and the partial generating functions. When the service time distribution is exponential we show that the performance characteristics can be expressed in terms of hypergeometric functions.
PB Applied Probability Trust
SN 0021-9002
YR 1997
FD 1997
LK https://hdl.handle.net/20.500.14352/57427
UL https://hdl.handle.net/20.500.14352/57427
LA eng
NO DGICYT
DS Docta Complutense
RD 5 abr 2025