Journal
INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH
Volume 57, Issue 8, Pages 2247-2262Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00207543.2018.1513658
Keywords
production line; transient analysis; geometric machine; production run; completion time
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Funding
- China Postdoctoral Science Foundation [2017M620641]
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A production run is typically referred to as a group of identical goods that is produced by a particular manufacturing process. In many discrete manufacturing practices, the manufacturing activity is carried out by deploying a series of production runs of different products according to customer orders. If the volume of a production run is relatively small and process changeovers are necessary, the production system operates partially (or entirely) in the transient regime, especially at the beginning and near the end of a production run. In this case, the traditional steady-state analysis approach may become inapplicable. In this paper, we consider finite production run-based manufacturing in serial lines with machines obeying the geometric reliability model and buffers having finite capacity. Exact Markovian analysis is first used to derive the closed-form formulae to calculate the transient performance of the production line during a production run as well as the distribution, mean, and standard deviation of its completion time in one- and two-machine lines. For multi-machine lines, an aggregation-based approach is proposed to approximate the system performance measures with high accuracy and computational efficiency. In addition, system-theoretic properties of production run completion time with respect to machine and buffer parameters are discussed.
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