The continuous resupply policy for deteriorating items with stock-dependent observable demand in a two-warehouse and two-echelon supply chain

Yousef Ghiami*, Patrick Beullens

*Corresponding author for this work

Research output: Contribution to JournalArticleAcademicpeer-review


This paper expands previous work on stock-dependent demand for a retailer with a two-warehouse (OW/RW) situation to the case of deteriorating items and where the retailer seeks to obtain the integrated optimal distribution policy from collaboration with a supplier. Motivated by practical applications and recent literature, a policy is considered whereby products in good order from the retailer's back-room (RW) are frequently transferred to its capacitated main store OW. Because the demand depends on the stock of good products in the OW, the aim is to keep this stock at its full capacity with products in good condition, and this can be done for as long as the RW stock of good products is positive. A firm's objective function is the Net Present Value (NPV) of the firm's future cash-flows. The profit functions are developed for both this continuous resupply policy and the commonly used policy in the OW/RW literature. Numerical examples are included and have been solved with grid search methods. The examples illustrate the benefits of adopting the continuous resupply policy, and also collaboration between the retailer and the wholesaler. Moreover, it is shown how these benefits can be shared by small adjustments to the product's unit price between the firms.

Original languageEnglish
Pages (from-to)271-292
Number of pages22
Early online date27 Jan 2020
Publication statusE-pub ahead of print - 27 Jan 2020



  • Capacity constraint
  • Deteriorating inventory
  • Net present value
  • Shortages

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