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.
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