RT Journal Article
T1 Analysis of an M/G/1 Queue with Two Types of Impatient Units
A1 Artalejo Rodríguez, Jesús Manuel
A1 Martin, M.
AB This paper deals with a service system in which the processor must serve two types of impatient units. In the case of blocking, the first type units leave the systemwhereas the second type units enter a pool and wait to be processed later. We develop an exhaustive analysis of the system including embedded Markov chain, fundamental period and various classical stationary probability distributions.More specificp erformancem easures,s uch as the numbero f lost customersa nd other quantities,a re also considered.T he mathematicaal nalysiso f the model is based on the theory of Markov renewal processes, in Markov chains of M/G/1 type and in expressions of 'Takacs' equation' type.
PB Applied Probability Trust
SN 0001-8678
YR 1995
FD 1995-09-03
LK https://hdl.handle.net/20.500.14352/57500
UL https://hdl.handle.net/20.500.14352/57500
LA eng
NO The authors would like to thank the referee for valuable suggestions that helped to improve the presentation of this paper.
DS Docta Complutense
RD 10 may 2025