Power series expansions for the distribution and mean value function of a geometric process with Weibull interarrival times

Power series expansions for the distribution and mean value function of a geometric process with Weibull interarrival times

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Article ID: iaor201524044
Volume: 61
Issue: 8
Start Page Number: 599
End Page Number: 603
Publication Date: Dec 2014
Journal: Naval Research Logistics (NRL)
Authors: ,
Keywords: markov processes
Abstract:

The geometric process is considered when the distribution of the first interarrival time is assumed to be Weibull. Its one‐dimensional probability distribution is derived as a power series expansion of the convolution of the Weibull distributions. Further, the mean value function is expanded into a power series using an integral equation.

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