Maximum entropy approach to machine repair problem
by Jau-Chuan Ke, Chuen-Horng Lin
International Journal of Services Operations and Informatics (IJSOI), Vol. 5, No. 3, 2010

Abstract: For an M/G/1 machine repair problem, the steady-state probability distributions of the number of down machines are usually found by using the supplementary variable technique and recursive method. We use in this paper the required steady-state availability and the expected number of down machines to compute the maximum entropy approximation for the steady-state probability distributions of the number of down machines in the system, thus avoiding the use of supplementary variable technique. In numerical examples, comparison of the steady-state probability distributions obtained by the exact approach and the approximation procedure are provided to illustrate the effectiveness of maximum entropy approach.

Online publication date: Tue, 06-Jul-2010

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