Modular modelling and performance evaluation of manufacturing systems using Max-Plus Algebra

Y.P. Reddy, G. Ranga Janardhana and Kim S. Kun

International Journal of Industrial and Systems Engineering, 2009, vol. 4, issue 5, 577-596

Abstract: In this paper, an algorithm, known as the Max Plus Algebra (MPA)-algorithm is presented for analytical model building and performance evaluation of manufacturing systems. The manufacturing system is divided into three types of logical modules, namely, a serial production system, an Assembly System (AS) and a Disassembly System (DS). The three logical modules are modelled using place-Timed Event Graph (p-TEG). Max-plus equations are derived from the p-TEG model using the MPA-algorithm. An illustrative cyclic manufacturing system consisting of all three logical modules is taken to explain the modelling methodology. The flow time of the system is evaluated using Karp's theorem.

Keywords: max-plus algebra; p-TEG; place-timed event graph; flow time; Karp's theorem; modular production systems; modelling; performance evaluation; manufacturing systems analysis; serial production; assembly; disassembly. (search for similar items in EconPapers)
Date: 2009
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