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Defining inventory control points in multiproduct stochastic pull systems

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  • Askin, Ronald G.
  • Krishnan, Shravan

Abstract

Multistage pull production systems have been widely implemented in recent years and constitute a significant aspect of lean manufacturing. One of the important considerations in such systems is identifying the control points, i.e. where in the multistage sequence to locate the output buffers. Allowable container/batch sizes, optimal inventory levels, and ability of systems to automatically adjust to stochastic demand depend on the location of these control points yet the issue of optimal location has not been widely addressed. This paper considers a multiproduct pull setting where part types compete with each other for common production resources. In this environment it is important to consider factors such as lead time variability and to include the corresponding queuing aspects into the model. Each workstation is modeled as a GI/G/1 queue. Waiting times spent by parts at workstations are approximated using a decomposition/recomposition algorithm. Necessary and sufficient conditions are provided for the optimality of a single control point. Conditions under which multiple control points are optimal are investigated along with the impact of product mix and utilization parameters on the number of control points. Analytical model results are validated by simulation.

Suggested Citation

  • Askin, Ronald G. & Krishnan, Shravan, 2009. "Defining inventory control points in multiproduct stochastic pull systems," International Journal of Production Economics, Elsevier, vol. 120(2), pages 418-429, August.
  • Handle: RePEc:eee:proeco:v:120:y:2009:i:2:p:418-429
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    1. Uday S. Karmarkar, 1987. "Lot Sizes, Lead Times and In-Process Inventories," Management Science, INFORMS, vol. 33(3), pages 409-418, March.
    2. Richard J. Schonberger & Marc J. Schniederjans, 1984. "Reinventing Inventory Control," Interfaces, INFORMS, vol. 14(3), pages 76-83, June.
    3. Inderfurth, Karl & Minner, Stefan, 1998. "Safety stocks in multi-stage inventory systems under different service measures," European Journal of Operational Research, Elsevier, vol. 106(1), pages 57-73, April.
    4. Inderfurth, Karl, 1994. "Safety stocks in multistage divergent inventory systems: A survey," International Journal of Production Economics, Elsevier, vol. 35(1-3), pages 321-329, June.
    5. Minner, Stefan, 2001. "Strategic safety stocks in reverse logistics supply chains," International Journal of Production Economics, Elsevier, vol. 71(1-3), pages 417-428, May.
    6. Stephen C. Graves & Sean P. Willems, 2000. "Optimizing Strategic Safety Stock Placement in Supply Chains," Manufacturing & Service Operations Management, INFORMS, vol. 2(1), pages 68-83, June.
    7. Debasis Mitra & Isi Mitrani, 1990. "Analysis of a Kanban Discipline for Cell Coordination in Production Lines. I," Management Science, INFORMS, vol. 36(12), pages 1548-1566, December.
    8. Inderfurth, Karl, 1991. "Safety stock optimization in multi-stage inventory systems," International Journal of Production Economics, Elsevier, vol. 24(1-2), pages 103-113, November.
    9. Sridhar R. Tayur, 1993. "Structural Properties and a Heuristic for Kanban-Controlled Serial Lines," Management Science, INFORMS, vol. 39(11), pages 1347-1368, November.
    10. van Houtum, G. J. & Inderfurth, K. & Zijm, W. H. M., 1996. "Materials coordination in stochastic multi-echelon systems," European Journal of Operational Research, Elsevier, vol. 95(1), pages 1-23, November.
    11. Jean-Luc Deleersnyder & Thom J. Hodgson & Henri Muller-Malek & Peter J. O'Grady, 1989. "Kanban Controlled Pull Systems: An Analytic Approach," Management Science, INFORMS, vol. 35(9), pages 1079-1091, September.
    12. Anne M. Spence & Evan L. Porteus, 1987. "Setup Reduction and Increased Effective Capacity," Management Science, INFORMS, vol. 33(10), pages 1291-1301, October.
    13. Hurley, Simon F. & Clay Whybark, D., 1999. "Inventory and capacity trade-offs in a manufacturing cell," International Journal of Production Economics, Elsevier, vol. 59(1-3), pages 203-212, March.
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    Cited by:

    1. 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.

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