Optimal Pricing and Ordering Policies for Non Instantaneous Deteriorating Items with Price Dependent Demand and Maximum Lifetime

  • Feng Lin
  • Zhe-chao Yang
  • Tao Jia
Conference paper


Owing to damage, spoil or decay, deteriorating items deteriorate continuously within their maximum lifetime. And deterioration not only causes quantity loss but also worsens their quality. Hence, due to different quality, selling price of deteriorating items may be different to stimulate the market demand. The paper considers an inventory model for non-instantaneous deteriorating item with price dependent demand and maximum lifetime. The system aims to maximize the retailer’s profit by determining its optimal price at deteriorated stage and replenishment cycle. And two distinct cases as well as the corresponding theorems are formulated. Finally, several theoretical results and managerial insights are obtained via numerical examples.


Inventory Maximum lifetime Non-instantaneous deteriorating items Price dependent demand 



The work is supported by the National Science Foundation of China (No: 71271168).


  1. 1.
    Nahmias S (1982) Perishable inventory theory: a review. Oper Res 30:680–708MATHCrossRefPubMedGoogle Scholar
  2. 2.
    Ghare P, Schrader G (1963) A model for exponentially decaying inventory. J Ind Eng 14:238–243Google Scholar
  3. 3.
    Covert RP, Philip GC (1973) An EOQ model for items with Weibull distribution deterioration. AIIE Trans 5:323–326CrossRefGoogle Scholar
  4. 4.
    Chang HJ, Teng JT, Ouyang LY, Dye CY (2006) Retailer’s optimal pricing and lot-sizing policies for deteriorating items with partial backlogging. Eur J Oper Res 168:51–64MATHMathSciNetCrossRefGoogle Scholar
  5. 5.
    Shah NH, Soni HN, Patel KA (2013) Optimizing inventory and marketing policy for non-instantaneous deteriorating items with generalized type deterioration and holding cost rates. Omega 41:421–430CrossRefGoogle Scholar
  6. 6.
    Maihami R, Karimi B (2014) Optimizing the pricing and replenishment policy for non-instantaneous deteriorating items with stochastic demand and promotional efforts. Comput Oper Res 51:302–312MathSciNetCrossRefGoogle Scholar
  7. 7.
    Chen SC, Teng JT (2014) Retailer’s optimal ordering policy for deteriorating items with maximum lifetime under supplier’s trade credit financing. Appl Mathe Model 38:4049–4061Google Scholar
  8. 8.
    Wang W-C, Teng J-T, Lou K-R (2014) Seller’s optimal credit period and cycle time in a supply chain for deteriorating items with maximum lifetime. Eur J Oper Res 232:315–321MATHMathSciNetCrossRefGoogle Scholar
  9. 9.
    Wee HM (1997) A replenishment policy for items with a price-dependent demand and a varying rate of deterioration. Prod Plann Control 8:494–499CrossRefGoogle Scholar
  10. 10.
    Teng J-T, Chang C-T (2005) Economic production quantity models for deteriorating items with price-and stock-dependent demand. Comput Oper Res 32:297–308MATHMathSciNetCrossRefGoogle Scholar
  11. 11.
    Avinadav T, Herbon A, Spiegel U (2013) Optimal inventory policy for a perishable item with demand function sensitive to price and time. Int J Prod Econ 144:497–506CrossRefGoogle Scholar

Copyright information

© Atlantis Press and the author(s) 2016

Authors and Affiliations

  1. 1.School of ManagementXi’an Jiaotong UniversityXi’anChina

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