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Pricing and lot-sizing for a deteriorating item in a periodic review inventory system with shortages


  • J-M Chen

    () (Institute of Industrial Management, National Central University)

  • L-T Chen

    () (Institute of Industrial Management, National Central University)


We consider a single product that is, subject to continuous decay, a multivariate demand function of price and time, shortages allowed and completely backlogged in a periodic review inventory system in which the selling price is allowed to adjust upward or downward periodically. The objective of this paper is to determine the periodic selling price and lot-size over multiperiod planning horizon so that the total discount profit is maximized. The proposed model can be used as an add-in optimizer like an advanced planning system in an enterprise resource planning system that coordinates distinct functions within a firm. Particular attention is placed on investigating the effect of periodic pricing jointly with shortages on the total discount profit. The problem is formulated as a bivariate optimization model solved by dynamic programming techniques coupled with an iterative search process. An intensive numerical study shows that the periodic pricing is superior to the fixed pricing in profit maximization. It also clarifies that shortages strategy can be an effective cost control mechanism for managing deterioration inventory.

Suggested Citation

  • J-M Chen & L-T Chen, 2004. "Pricing and lot-sizing for a deteriorating item in a periodic review inventory system with shortages," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(8), pages 892-901, August.
  • Handle: RePEc:pal:jorsoc:v:55:y:2004:i:8:d:10.1057_palgrave.jors.2601749
    DOI: 10.1057/palgrave.jors.2601749

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    References listed on IDEAS

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