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The impact of data collection on fill rate performance in the (R, s, Q) inventory model

Author

Listed:
  • F Janssen

    (Tilburg and Eindhoven Universities)

  • R Heuts

    (Tilburg University)

  • T de Kok

    (Eindhoven University)

Abstract

In this paper we consider the determination of the reorder point s in an (R, s, Q) inventory model subject to a fill rate service level constraint. We assume that the underlying demand process is a compound renewal process. We then derive an approximation method to compute the reorder level such that a target service level is achieved. Restrictions on the input parameters are given, within which this method is applicable. Moreover, we will investigate the effects on the fill rate performance in case the underlying demand process is indeed a compound renewal process, while the demand process is modelled as a discrete-time demand process. That is, the time axis is divided in time units (for example, days) and demands per time unit are independent and identically distributed random variables. It will be shown that smooth and erratic behaviour of the inter-arrival times have different impacts on the performance of the fill rate when demand is modelled as a discrete-time process and in case the underlying demand process is a compound renewal process.

Suggested Citation

  • F Janssen & R Heuts & T de Kok, 1999. "The impact of data collection on fill rate performance in the (R, s, Q) inventory model," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 50(1), pages 75-84, January.
    • Handle: RePEc:pal:jorsoc:v:50:y:1999:i:1:d:10.1057_palgrave.jors.2600663
    DOI: 10.1057/palgrave.jors.2600663
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    Citations

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    Cited by:

    1. Smits, Sanne R. & Wagner, Michael & G. de Kok, Ton, 2004. "Determination of an order-up-to policy in the stochastic economic lot scheduling model," International Journal of Production Economics, Elsevier, vol. 90(3), pages 377-389, August.
    2. Kiesmuller, G.P. & de Kok, A.G., 2006. "The customer waiting time in an (R, s, Q) inventory system," International Journal of Production Economics, Elsevier, vol. 104(2), pages 354-364, December.
    3. Heuts, R.M.J. & Luijten, M.L.J., 1999. "Inventory Modelling for a Manufacturer of Sweets : An Evaluation of an Adjusted Compund Renewal Approach for B-Items With A Relative Short Production Lead Time," Other publications TiSEM 8a22bfcb-d72a-4dc8-97b3-b, Tilburg University, School of Economics and Management.
    4. Matthew J. Sobel, 2004. "Fill Rates of Single-Stage and Multistage Supply Systems," Manufacturing & Service Operations Management, INFORMS, vol. 6(1), pages 41-52, June.
    5. Heuts, R.M.J. & Luijten, M.L.J., 1999. "Inventory Modelling for a Manufacturer of Sweets : An Evaluation of an Adjusted Compund Renewal Approach for B-Items With A Relative Short Production Lead Time," Discussion Paper 1999-80, Tilburg University, Center for Economic Research.

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