RT Journal Article
T1 Generalized birth and death processes with applications to queues with repeated attempts and negative arrivals
A1 Artalejo Rodríguez, Jesús Manuel
A1 Gómez-Corral, Antonio
AB We consider the stochastic behaviour of a Markovian bivariate process {(C(t), N(t)), t greater than or equal to 0} whose state-space is a semi-strip S = {0, 1} x N. The intensity matrix of the process is taken to get a limit distribution P-ij = lim(t-->+infinity) P{(C(t), N(t)) = (i, j)} such that {P-0j, j is an element of N}, or alternatively {P-lj, j is an element of N}, satisfies a system of equations of 'birth and death' type. We show that this process has applications to queues with repeated attempts and queues with negative arrivals. We carry out an extensive analysis of the queueing process, including classification of states, stationary analysis, waiting time, busy period and number of customers served.
PB Springer
SN 0171-6468
YR 1998
FD 1998
LK https://hdl.handle.net/20.500.14352/57480
UL https://hdl.handle.net/20.500.14352/57480
LA eng
NO The authors are grateful to the referees for helpful comments. This research was supported by the DGICYT under grant PB95-0416.
NO DGICYT
DS Docta Complutense
RD 8 abr 2025