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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

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Journal of Mathematical Modelling and Algorithms in Operations Research

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.

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References

  1. Goyal, S.K.: Economic order quantity under conditions of permissible delay in payments. J. Oper. Res. Soc. 36(4), 335–338 (1985)

    Article  MATH  Google Scholar 

  2. Shah, N.H., Soni, H.N., Jaggi, C.K.: Inventory model and trade credit: review. Control. Cybern. 39(3), 867–884 (2010)

    MATH  MathSciNet  Google Scholar 

  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)

    Article  MATH  Google Scholar 

  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)

    Article  MATH  Google Scholar 

  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)

    Article  MATH  Google Scholar 

  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)

    Article  MATH  MathSciNet  Google Scholar 

  7. Wee, H.M.: Economic production lot size model for deteriorating items with partial back ordering. Comput. Ind. Eng. 24, 449–458 (1993)

    Article  Google Scholar 

  8. Raafat, F.: Survey of literature on continuously deteriorating inventory models. J. Oper. Res. Soc. 40, 27–37 (1991)

    Article  Google Scholar 

  9. Shah, N.H., Shah, Y.K.: Literature survey on inventory models for deteriorating items. Econ. Ann. 44, 221–237 (2000)

    Google Scholar 

  10. Goyal, S.K., Giri, B.C.: Recent trend in modeling of deteriorating inventory. Eur. J. Oper. Res. Soc. 134, 1–16 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  11. Bakker, M., Riezebos, J., Teunter, R.H.: Review of inventory systems with deterioration since 2001. Eur. J. Oper. Res. 221, 125–138 (2012)

    Article  MathSciNet  Google Scholar 

  12. Lee, H.H.: The investment model in prevention maintenance in multi-level production systems. Int. J. Prod. Econ. 112, 816–828 (2008)

    Article  Google Scholar 

  13. Hsu, P.H., Wee, H.M., Teng, H.M.: Preservation technology investment for deteriorating inventory. Int. J. Prod. Econ. 124, 338–394 (2010)

    Article  Google Scholar 

  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)

    Article  Google Scholar 

  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)

    Article  MATH  MathSciNet  Google Scholar 

  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. 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)

    Article  MATH  MathSciNet  Google Scholar 

  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)

    Article  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Gujarat University, Ahmedabad, 380009, Gujarat, India

    Nita H. Shah

  2. Department of Mathematics, L. D. College of Engineering, Ahmedabad, 380015, Gujarat, India

    Digeshkumar B. Shah

  3. Department of Mathematics, Government Poly. for Girls, Ahmedabad, 380015, Gujarat, India

    Dushyantkumar G. Patel

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  1. Nita H. Shah
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  2. Digeshkumar B. Shah
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  3. Dushyantkumar G. Patel
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Correspondence to Nita H. Shah.

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Shah, N.H., Shah, D.B. & Patel, D.G. Optimal Preservation Technology Investment, Retail Price and Ordering Policies for Deteriorating Items under Trended Demand and Two Level Trade Credit Financing. J Math Model Algor 14, 1–12 (2015). https://doi.org/10.1007/s10852-014-9253-0

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  • DOI: https://doi.org/10.1007/s10852-014-9253-0

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