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oai:docta.ucm.es:20.500.14352/500192024-03-11T14:53:59Zcom_20.500.14352_14col_20.500.14352_15

Entropy maximization and the busy period of some single-server vacation models Artalejo Rodríguez, Jesús Manuel López Herrero, María Jesús 519.8 Busy period analysis maximum entropy methodology M/G/1 vacation models numerical inversion Investigación operativa (Matemáticas) 1207 Investigación Operativa This research was supported by the project BFM2002-02189. In this paper, information theoretic methodology for system modeling is applied to investigate the probability density function of the busy period in M/G/1 vacation models operating under the N-, T- and D-policies. The information about the density function is limited to a few mean value constraints (usually the first moments). By using the maximum entropy methodology one obtains the least biased probability density function satisfying the system's constraints. The analysis of the three controllable M/G/1 queueing models provides a parallel numerical study of the solution obtained via the maximum entropy approach versus “classical” solutions. The maximum entropy analysis of a continuous system descriptor (like the busy period) enriches the current body of literature which, in most cases, reduces to discrete queueing measures (such as the number of customers in the system). Depto. de Estadística e Investigación Operativa Fac. de Ciencias Matemáticas TRUE pub 2023-06-20T09:36:27Z 2023-06-20T09:36:27Z 2004-07 journal article https://hdl.handle.net/20.500.14352/50019 1290-3868 10.1051/ro:2004020 eng BFM2002-02189 open access application/pdf EDP Sciences