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Optimal Preservation Technology Investment, Retail Price and Ordering Policies for Deteriorating Items under Trended Demand and Two Level Trade Credit Financing

  • Nita H. Shah
  • Digeshkumar B. Shah
  • Dushyantkumar G. Patel
Article

Abstract

This research analyzes the impact of deploying suitable preservation technology for an inventory system in which units are subject to constant rate of deterioration. The demand is considered to be function of time and retail price. It is assumed that the supplier offers a fixed credit period to the retailer and retailer also offers credit period to the customers. The goal is to maximize the total profit per unit time with respect to optimal investment to be made in preservation technology, retail price of an item and purchase quantity. The concavity of the total profit is validated using numerical example. The managerial issues are discussed.

Keywords

Inventory Deterioration Price-sensitive trended demand Preservation technology investment Two-level trade credits 

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References

  1. 1.
    Goyal, S.K.: Economic order quantity under conditions of permissible delay in payments. J. Oper. Res. Soc. 36(4), 335–338 (1985)CrossRefMATHGoogle Scholar
  2. 2.
    Shah, N.H., Soni, H.N., Jaggi, C.K.: Inventory model and trade credit: review. Control. Cybern. 39(3), 867–884 (2010)MATHMathSciNetGoogle Scholar
  3. 3.
    Huang, Y.F.: Optimal retailer’s ordering policies in the EOQ model under trade credit financing. J. Oper. Res. Soc. 54, 1011–1015 (2003)CrossRefMATHGoogle Scholar
  4. 4.
    Huang, Y.F.: An inventory model under two levels of trade credit and limited storage space derived without derivatives. Appl. Math. Model. 30, 418–436 (2006)CrossRefMATHGoogle Scholar
  5. 5.
    Huang, Y.F.: Optimal retailer’s replenishment decisions in the EPQ model under two levels of trade credit policy. Eur. J. Oper. Res. 176, 1577–1591 (2007)CrossRefMATHGoogle Scholar
  6. 6.
    Teng, J.T., Chang, C.T.: Optimal manufacturer’s replenishment policies in the EPQ model under two-levels of trade credit policy. Eur. J. Oper. Res. 195, 358–363 (2009)CrossRefMATHMathSciNetGoogle Scholar
  7. 7.
    Wee, H.M.: Economic production lot size model for deteriorating items with partial back ordering. Comput. Ind. Eng. 24, 449–458 (1993)CrossRefGoogle Scholar
  8. 8.
    Raafat, F.: Survey of literature on continuously deteriorating inventory models. J. Oper. Res. Soc. 40, 27–37 (1991)CrossRefGoogle Scholar
  9. 9.
    Shah, N.H., Shah, Y.K.: Literature survey on inventory models for deteriorating items. Econ. Ann. 44, 221–237 (2000)Google Scholar
  10. 10.
    Goyal, S.K., Giri, B.C.: Recent trend in modeling of deteriorating inventory. Eur. J. Oper. Res. Soc. 134, 1–16 (2001)CrossRefMATHMathSciNetGoogle Scholar
  11. 11.
    Bakker, M., Riezebos, J., Teunter, R.H.: Review of inventory systems with deterioration since 2001. Eur. J. Oper. Res. 221, 125–138 (2012)CrossRefMathSciNetGoogle Scholar
  12. 12.
    Lee, H.H.: The investment model in prevention maintenance in multi-level production systems. Int. J. Prod. Econ. 112, 816–828 (2008)CrossRefGoogle Scholar
  13. 13.
    Hsu, P.H., Wee, H.M., Teng, H.M.: Preservation technology investment for deteriorating inventory. Int. J. Prod. Econ. 124, 338–394 (2010)CrossRefGoogle Scholar
  14. 14.
    Uckun, C., Karaesmen, F., Savas, S.: Investment in improved inventory accuracy in a decentralized supply chain. Int. J. Prod. Econ. 113, 546–566 (2008)CrossRefGoogle Scholar
  15. 15.
    Dye, C.Y., Hsieh, T.P.: An optimal replenishment policy for deteriorating items with effective investment in preservation technology. Eur. J. Oper. Res. 218, 106–112 (2012)CrossRefMATHMathSciNetGoogle Scholar
  16. 16.
    He, Y., Huang, H.: Two-level credit financing for noninstantaneous deterioration items in a supply chain with downstream credit-linked demand. Discret. Dyn. Nat. Soc. Article ID 917958, p 22. doi: 10.1155/2013/917958 (2013)
  17. 17.
    Hsieh, T.P., Dye, C.Y.: A production inventory model incorporating the effect of preservation technology investment when demand is fluctuating with time. J. Comput. Appl. Math. 239, 25–36 (2013)CrossRefMATHMathSciNetGoogle Scholar
  18. 18.
    Teng, J.T., Goyal, S.K.: Optimal ordering policies for a retailer in a supply chain with up-stream and down-stream trade credits. J. Oper. Res. Soc. 58, 1252–1255 (2007)CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  • Nita H. Shah
    • 1
  • Digeshkumar B. Shah
    • 2
  • Dushyantkumar G. Patel
    • 3
  1. 1.Department of MathematicsGujarat UniversityAhmedabadIndia
  2. 2.Department of MathematicsL. D. College of EngineeringAhmedabadIndia
  3. 3.Department of MathematicsGovernment Poly. for GirlsAhmedabadIndia

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