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oai:docta.ucm.es:20.500.14352/1020832024-03-10T01:12:33Zcom_20.500.14352_14col_20.500.14352_15

On the number of customers served in the M/G/1 retrial queue: first moments and maximum entropy approach López Herrero, María Jesús Saldanha da Gama, Francisco 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. 2024-03-09T11:05:30Z 2024-03-09T11:05:30Z 2024-03-09T11:05:30Z 2002-10 journal article https://hdl.handle.net/20.500.14352/102083 0305-0548 10.1016/S0305-0548(01)00053-3 1873-765X eng 96-0828 PB98-0837 64/99-8501 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. open access Elsevier