In this paper, a model of a highly reliable serial production line is introduced and analysed. The high production rate of machines in isolation and quality inspection machines are the basis of highly reliable production lines. Using Taylor series expansion, we decompose highly reliable serial production lines into two machines and one buffer line and then utilizing the decomposed lines, approximate the average steady state production rate in a closed form. Finally, we validate the results by simulations.
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Han et al. (1998) studied this question.
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