An algorithm for fitting MAP to spare parts demand process

Bo Guo · Journal of Naval University of Engineering · 2009

A two-step algorithm was proposed to fit the parameters of Markovian arrival pro-cess(MAP) for the spare parts demand arrival stream.Firstly,an EM algorithm was used to fit the inter-arrival time trace into Hyper-Erlang distribution.Then the infinitesimal generator matrix was constructed by using the properties of MAP and Bayes formula.In the end,a complete fitting procedure was designed.The numerical examples show that this algorithm can raise the efficiency through the contrast with the other researches.

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