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López Herrero, María Jesús 2024-03-09T11:05:30Z 2024-03-09T11:05:30Z 2002-10 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. 0305-0548 10.1016/S0305-0548(01)00053-3 https://hdl.handle.net/20.500.14352/102083 1873-765X https://doi.org/10.1016/S0305-0548(01)00053-3 https://www-sciencedirect-com.bucm.idm.oclc.org/science/article/pii/S0305054801000533 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. eng open access On the number of customers served in the M/G/1 retrial queue: first moments and maximum entropy approach journal article