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