RT Journal Article
T1 On the number of customers served in the M/G/1 retrial queue: first moments and maximum entropy approach
A1 López Herrero, María Jesús
A2 Saldanha da Gama, Francisco
AB In this paper we present general results on the number of customers, I, served during the busy period in an M/G/1 retrial system. Its analysis in terms of Laplace transforms has been previously discussed in the literature. However, this solution presents important limitations in practice; in particular, the moments of I cannot be obtained by direct differentiation. We propose a direct method of computation for the second moment of I and also for the probability of k,k⩽4, customers being served in a busy period. Then, the maximum entropy principle approach is used to estimate the true distribution of I according to the available information.
PB Elsevier
SN 0305-0548
YR 2002
FD 2002-10
LK https://hdl.handle.net/20.500.14352/102083
UL https://hdl.handle.net/20.500.14352/102083
LA eng
NO Lopez-Herrero M.J. (2002). On the number of customers served in the M/G/1 retrial queue: first moments and máximum entropy approach.Computers and Operations Research29, 1739-1757.
NO European Commission
NO Universidad Complutense de Madrid
DS Docta Complutense
RD 10 abr 2025