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

Abstract:

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.

• Periodical: Applied Mechanics and Materials (Volumes 130-134)
• Pages: 479-482
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.130-134.479
• Online since: October 2011
• Authors: Jia Lu Liu, Ai Guo Wu
• Keywords: Markov Process, Matrix-Analytic Method, Parallel Machine Workstations

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