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An Analytical Method for Performance Evaluation of Kanban Controlled Production Systems

Author

Listed:
  • Maria Di Mascolo

    (Laboratoire d'Automatique de Grenoble, Saint Martin d'Hères, France)

  • Yannick Frein

    (Laboratoire d'Automatique de Grenoble, Saint Martin d'Hères, France)

  • Yves Dallery

    (Université Pierre et Marie Curie, Paris, France)

Abstract

The aim of this paper is to develop a general purpose analytical method for performance evaluation of multistage kanban controlled production systems. We consider a single-part type production system decomposed into stages in series. Each stage consists of a manufacturing cell and an output buffer. With each stage is associated a given number of kanbans. The kanban controlled production system is modeled as a queueing network with synchronization mechanisms. The basic principle of the proposed approximation method is to decompose the original kanban system into a set of subsystems, each subsystem being associated with a particular stage. Each subsystem is analyzed in isolation using a product-form approximation technique. An iterative procedure is then used to determine the unknown parameters of each subsystem. Numerical results show that the method is fairly accurate.

Suggested Citation

  • Maria Di Mascolo & Yannick Frein & Yves Dallery, 1996. "An Analytical Method for Performance Evaluation of Kanban Controlled Production Systems," Operations Research, INFORMS, vol. 44(1), pages 50-64, February.
    • Handle: RePEc:inm:oropre:v:44:y:1996:i:1:p:50-64
    DOI: 10.1287/opre.44.1.50
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    Citations

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    Cited by:

    1. Gaury, E.G.A. & Kleijnen, J.P.C. & Pierreval, H., 1998. "Customized Pull Systems for Single-Product Flow Lines," Discussion Paper 1998-117, Tilburg University, Center for Economic Research.
    2. Corrado Cuccurullo & Massimo Aria & Fabrizia Sarto, 2016. "Foundations and trends in performance management. A twenty-five years bibliometric analysis in business and public administration domains," Scientometrics, Springer;Akadémiai Kiadó, vol. 108(2), pages 595-611, August.
    3. Cigdem Gurgur, 2013. "Optimal configuration of a decentralized, market-driven production/inventory system," Annals of Operations Research, Springer, vol. 209(1), pages 139-157, October.
    4. Liberopoulos, George & Koukoumialos, Stelios, 2005. "Tradeoffs between base stock levels, numbers of kanbans, and planned supply lead times in production/inventory systems with advance demand information," International Journal of Production Economics, Elsevier, vol. 96(2), pages 213-232, May.
    5. Cigdem Z. Gurgur & Tayfur Altiok, 2007. "Analysis of decentralized multi‐product pull systems with lost sales," Naval Research Logistics (NRL), John Wiley & Sons, vol. 54(4), pages 357-370, June.
    6. Erkut Sönmez & Alan Scheller-Wolf & Nicola Secomandi, 2017. "An Analytical Throughput Approximation for Closed Fork/Join Networks," INFORMS Journal on Computing, INFORMS, vol. 29(2), pages 251-267, May.
    7. Rustenburg, W. D. & van Houtum, G. J. & Zijm, W. H. M., 2001. "Spare parts management at complex technology-based organizations: An agenda for research," International Journal of Production Economics, Elsevier, vol. 71(1-3), pages 177-193, May.
    8. Park, Chan-Woo & Lee, Hyo-Seong, 2013. "Performance evaluation of a multi-product CONWIP assembly system with correlated external demands," International Journal of Production Economics, Elsevier, vol. 144(1), pages 334-344.
    9. Wilhelm, W. E. & Som, Pradip, 1998. "Analysis of a single-stage, single-product, stochastic, MRP-controlled assembly system," European Journal of Operational Research, Elsevier, vol. 108(1), pages 74-93, July.
    10. Huang, Min & Wang, Dingwei & Ip, W. H., 1998. "Simulation study of CONWIP for a cold rolling plant," International Journal of Production Economics, Elsevier, vol. 54(3), pages 257-266, May.
    11. Wang, Shaojun & Sarker, Bhaba R., 2006. "Optimal models for a multi-stage supply chain system controlled by kanban under just-in-time philosophy," European Journal of Operational Research, Elsevier, vol. 172(1), pages 179-200, July.
    12. Wang, Shaojun & Sarker, Bhaba R., 2005. "An assembly-type supply chain system controlled by kanbans under a just-in-time delivery policy," European Journal of Operational Research, Elsevier, vol. 162(1), pages 153-172, April.
    13. Kumar Satyam & Ananth Krishnamurthy, 2013. "Performance analysis of CONWIP systems with batch size constraints," Annals of Operations Research, Springer, vol. 209(1), pages 85-114, October.
    14. Engin Topan & Zeynep Avṣar, 2011. "An approximation for kanban controlled assembly systems," Annals of Operations Research, Springer, vol. 182(1), pages 133-162, January.
    15. Duri, Christelle & Frein, Yannick & Lee, Hyo-Seong, 2000. "Performance evaluation and design of a CONWIP system with inspections," International Journal of Production Economics, Elsevier, vol. 64(1-3), pages 219-229, March.
    16. Matta, Andrea & Dallery, Yves & Di Mascolo, Maria, 2005. "Analysis of assembly systems controlled with kanbans," European Journal of Operational Research, Elsevier, vol. 166(2), pages 310-336, October.
    17. Tardif, Valerie & Maaseidvaag, Lars, 2001. "An adaptive approach to controlling kanban systems," European Journal of Operational Research, Elsevier, vol. 132(2), pages 411-424, July.
    18. Zhao Xiaobo & Qiguo Gong & Kenichi Nakashima, 2001. "Analysis of a production system in a general configuration," Naval Research Logistics (NRL), John Wiley & Sons, vol. 48(2), pages 128-143, March.
    19. Iwase, Masaharu & Ohno, Katsuhisa, 2011. "The performance evaluation of a multi-stage JIT production system with stochastic demand and production capacities," European Journal of Operational Research, Elsevier, vol. 214(2), pages 216-222, October.
    20. Nico Goossens & Ananth Krishnamurthy & Nico Vandaele, 2019. "Analysis of a fork/join station with inputs from a finite population subnetwork with multi-server stations," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 41(1), pages 291-315, March.
    21. Mark Vroblefski & R. Ramesh & Stanley Zionts, 2000. "General Open and Closed Queueing Networks with Blocking: A Unified Framework for Approximation," INFORMS Journal on Computing, INFORMS, vol. 12(4), pages 299-316, November.

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