López Herrero, María JesúsSaldanha da Gama, Francisco2024-03-092024-03-092002-10Lopez-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, 1739-1757.0305-054810.1016/S0305-0548(01)00053-3https://hdl.handle.net/20.500.14352/102083In 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.engjournal article1873-765Xhttps://doi.org/10.1016/S0305-0548(01)00053-3https://www-sciencedirect-com.bucm.idm.oclc.org/science/article/pii/S0305054801000533open access519.21Retrial queueBusy periodLaplace transformMaximum entropy principleProbabilidades (Estadística)1208 Probabilidad