Title: A Petri net model for the optimisation and performance evaluation of production system cum packaging

Authors: Hamid Ullah

Addresses: Department of Mechanical Engineering, Faculty of Engineering, Institut Teknologi Brunei, Jalan Tungku Link, Gadong BE 1410, Brunei Darussalam

Abstract: A new generic Petri net model is developed for design and performance evaluation of a production system. The model allows modelling the system configuration, determining the optimal work-in-process (WIP), lead time, throughput, and utilisation of each station. The sequencing circuit with the largest cycle time determines the bottleneck station. The throughput is bounded by the utilisation of this bottleneck station. The maximum throughput with the minimum WIP is formulated as a linear programming (LP) problem. The PN optimisation gives the minimum WIP corresponding to the maximum production rate. The proposed Petri net model can be easily extended for inclusion of kanban cards in order to incorporate a just-in-time production philosophy.

Keywords: Petri nets; PNs; manufacturing industry; inspection; transport; assembly; packaging; production systems; modelling; optimisation; performance evaluation; system configuration; work-in-process; optimal WIP; lead times; throughput; bottleneck stations; linear programming; kanban; just-in-time; JIT production.

DOI: 10.1504/IJISE.2016.074706

International Journal of Industrial and Systems Engineering, 2016 Vol.22 No.3, pp.245 - 261

Received: 06 Nov 2013
Accepted: 15 May 2014
Published online: 16 Feb 2016 *

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