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Generalized Solutions for the joint replenishment problem with correction factor

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  • Porras Musalem, E.
  • Dekker, R.

Abstract

In this paper we give a complete analysis of the joint replenishment problem (JRP) under constant demands and continuous time. We present a solution method for the JRP when a correction is made for empty replenishments, and we test the solution procedures with real data. We show that the solutions obtained differ from the standard JRP when no correction is made in the cost function. We further show that the JRP with correction outperforms independent ordering. Additional numerical experiments are presented.

Suggested Citation

  • Porras Musalem, E. & Dekker, R., 2005. "Generalized Solutions for the joint replenishment problem with correction factor," Econometric Institute Research Papers EI 2005-19, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    • Handle: RePEc:ems:eureir:6915
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    File URL: https://repub.eur.nl/pub/6915/ei2005-19.pdf
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    References listed on IDEAS

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    1. Musalem, Eric Porras & Dekker, Rommert, 2005. "Controlling inventories in a supply chain: A case study," International Journal of Production Economics, Elsevier, vol. 93(1), pages 179-188, January.
    2. Porras, Eric & Dekker, Rommert, 2006. "An efficient optimal solution method for the joint replenishment problem with minimum order quantities," European Journal of Operational Research, Elsevier, vol. 174(3), pages 1595-1615, November.
    3. Porras Musalem, E. & Dekker, R., 2005. "New Bounds for the Joint Replenishment Problem: Tighter, but not always better," Econometric Institute Research Papers EI 2005-18, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    4. Wildeman, R.E. & Frenk, J.B.G. & Dekker, R., 1997. "An efficient optimal solution method for the joint replenishment problem," European Journal of Operational Research, Elsevier, vol. 99(2), pages 433-444, June.
    5. Robin Roundy, 1989. "Rounding Off to Powers of Two in Continuous Relaxations of Capacitated Lot Sizing Problems," Management Science, INFORMS, vol. 35(12), pages 1433-1442, December.
    6. S. K. Goyal, 1974. "Determination of Optimum Packaging Frequency of Items Jointly Replenished," Management Science, INFORMS, vol. 21(4), pages 436-443, December.
    7. R Y K Fung & X Ma, 2001. "A new method for joint replenishment problems," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 52(3), pages 358-362, March.
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    1. Porras Musalem, E. & Dekker, R., 2005. "New Bounds for the Joint Replenishment Problem: Tighter, but not always better," Econometric Institute Research Papers EI 2005-18, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    2. Tamar Cohen-Hillel & Liron Yedidsion, 2018. "The Periodic Joint Replenishment Problem Is Strongly š’©š’«-Hard," Mathematics of Operations Research, INFORMS, vol. 43(4), pages 1269-1289, November.

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