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Performance analysis and design of supply chains: a Petri net approach

Author

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  • N Viswanadham

    (National University of Singapore)

  • N R Srinivasa Raghavan

    (Indian Institute of Science)

Abstract

In this paper, we investigated a dynamic modelling technique for analysing supply chain networks using generalised stochastic Petri nets (GSPNs). The customer order arrival process is assumed to be Poisson and the service processes at the various facilities of the supply chain are assumed to be exponential. Our model takes into account both the procurement process and delivery logistics that exist between any two members of the supply chain. We compare the performance of two production planning and control policies, the make-to-stock and the assemble-to-order systems in terms of total cost which is the sum of inventory carrying cost and cost incurred due to delayed deliveries. We formulate and solve the decoupling point location problem in supply chains as a total relevant cost (sum of inventory carrying cost and the delay costs) minimisation problem. We use the framework of integrated GSPN-queuing network modelling—with the GSPN at the higher level and a generalised queuing network at the lower level—to solve the decoupling point location problem.

Suggested Citation

  • N Viswanadham & N R Srinivasa Raghavan, 2000. "Performance analysis and design of supply chains: a Petri net approach," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 51(10), pages 1158-1169, October.
  • Handle: RePEc:pal:jorsoc:v:51:y:2000:i:10:d:10.1057_palgrave.jors.2600063
    DOI: 10.1057/palgrave.jors.2600063
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    Cited by:

    1. Kleijnen, J.P.C. & Smits, M.T., 2003. "Performance metrics in supply chain management," Other publications TiSEM 80777aed-0c9f-4ded-b0bb-f, Tilburg University, School of Economics and Management.
    2. BALAGUE, Christine & LEE, Janghyuk, 2004. "Dynamic modeling of web purchase behavior and e-mailing impact by Petri net," HEC Research Papers Series 804, HEC Paris.
    3. J P C Kleijnen & M T Smits, 2003. "Performance metrics in supply chain management," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(5), pages 507-514, May.
    4. Yianni, Panayioti C. & Neves, Luis C. & Rama, Dovile & Andrews, John D., 2018. "Accelerating Petri-Net simulations using NVIDIA Graphics Processing Units," European Journal of Operational Research, Elsevier, vol. 265(1), pages 361-371.

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