Advances in Production Engineering & Management
Volume 9 | Number 4 | December 2014 | pp 187–200
http://dx.doi.org/10.14743/apem2014.4.187
A Petri net model for the integration of purchasing, production and packaging using Kanban system
Ullah, H.
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A B S T R A C T
A new generic deterministically timed Petri net (PN) model was developed for the integration of purchasing, production, and packaging using the Kanban system. Firstly, the individual building blocks of the model were developed which are then combined together to obtain the overall integrated PN model. This model allows the modeling of an integrated production system configuration for determining the optimal Work-In-Process (WIP), lead-time, station's utilization, and rate of production of the system. Each station can have multiple identical servers. The model is solved first by initial marking and then by optimal marking using LINGO software. The machining server circuit with the largest cycle time determines the bottleneck station, as the cycle time of this circuit merely represents the capacity of the corresponding station. Elementary circuits with cycle times greater than the cycle time of the machining server circuit are selected for optimization. These circuits result in constraints. The objective of optimization is to ensure the WIP minimum corresponds to the maximum throughput. The maximum throughput with the minimum WIP is formulated as a linear programming problem. The model can be used for designing, evaluating, and optimizing the layout of an integrated production system. This model could be extended using Fuzzy PN, Coloured PN, or Queuing PN.
A R T I C L E I N F O
Keywords • Production, Purchasing, Packaging, Petri net, Kanban
Corresponding author • Ullah, H.
Article history • Received 29 June 2014, Revised 13 November 2014, Accepted 18 November 2014
Published on-line • 4 December 2014
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