Artalejo Rodríguez, Jesús ManuelLópez Herrero, María Jesús2023-06-202023-06-202004-071290-386810.1051/ro:2004020https://hdl.handle.net/20.500.14352/50019This 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).engjournal articlehttp://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=8225197http://www.cambridge.org/open access519.8Busy period analysismaximum entropy methodologyM/G/1 vacation modelsnumerical inversionInvestigación operativa (Matemáticas)1207 Investigación Operativa