Analysis of Manufacturing Systems with Parallel Unreliable Machines and Finite Buffer Based on Matrix-Analytic Method

Abstract:

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This paper presents a model of manufacturing system with two parallel workstations. The machines in the system are non-identical unreliable machines, and the processing times, failure times and repair times of the machines are assumed to be exponentially distributed. We show that such model can be considered a quasi-birth-death process (QBD) with a tri-diagonal block structure generator matrix. The solution method for the QBD process is a matrix-analytic method chosen based on the characteristic of the parallel system. At last a two station one buffer case with three parallel machines at each station is given to show the accuracy and efficiency of the proposed method.

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Periodical:

Edited by:

Han Zhao

Pages:

479-482

DOI:

10.4028/www.scientific.net/AMM.130-134.479

Citation:

J. L. Liu and A. G. Wu, "Analysis of Manufacturing Systems with Parallel Unreliable Machines and Finite Buffer Based on Matrix-Analytic Method", Applied Mechanics and Materials, Vols. 130-134, pp. 479-482, 2012

Online since:

October 2011

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$35.00

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