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An Optimal Partially Backlogged Policy of Deteriorating Items with Quadratic Demand

  • Trailokyanath Singh
  • Nirakar Niranjan Sethy
  • Ameeya Kumar Nayak
  • Hadibandhu Pattanayak
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 410)

Abstract

An EOQ (Economic Order Quantity) model for a deteriorating item with quadratic demand pattern and quadratic holding cost and constant deterioration rate is considered in this paper. In addition, shortages and partial backlogging are allowed. It is assumed that the backlogging rate acts as not only a variable, but also depends on the length of the waiting time up to next replenishment during the stock out period. For this model, average total cost is derived. Finally, a numerical example for illustration is provided.

Keywords

EOQ Partial backlogging Quadratic demand Quadratic holding cost 

2000-Mathematics Subject Classification:

90B05 

References

  1. 1.
    Bahari-Kashani.: Replenishment schedule for deteriorating items with time-proportional demand. J. Oper. Res. Soc. 40, 75–81 (1989)Google Scholar
  2. 2.
    Chang, H.J., Dye, C.Y.: An EOQ model for deteriorating items with time varying demand and partial backlogging. J. Oper. Res. Soc. 50, 1176–1182 (1999)CrossRefMATHGoogle Scholar
  3. 3.
    Dave, U., Patel, L.K.: (T, Si) policy inventory model for deteriorating items with time proportional demand. J. Oper. Res. Soc. 32, 137–142 (1981)CrossRefMATHGoogle Scholar
  4. 4.
    Goyal, S.K., Giri, B.C.: Recent trends in modeling of deteriorating inventory. Eur. J. Oper. Res. 134, 1–16 (2001)MathSciNetCrossRefMATHGoogle Scholar
  5. 5.
    Hollier, R.H., Mak, K.L.: Inventory replenishment policies for deteriorating items in a declining market. Int. J. Prod. Res. 21, 813–826 (1983)CrossRefMATHGoogle Scholar
  6. 6.
    Khanra, S., Chaudhuri, K.S.: A note on an order level inventory model for a deteriorating item with time dependent quadratic demand. Comput. Oper. Res. 30, 1901–1916 (2003)CrossRefMATHGoogle Scholar
  7. 7.
    Khanra, S., Ghosh, S.K., Chaudhuri, K.S.: An EOQ model for a deteriorating item with time dependent quadratic demand under permissible delay in payment. Appl. Math. Comput. 218, 1–9 (2011)MathSciNetMATHGoogle Scholar
  8. 8.
    Li, R., Lan, H., Mawhinney, J.: A review on deteriorating inventory study. J. Service Sci. Manage. 3, 117–129 (2010)CrossRefGoogle Scholar
  9. 9.
    Ouyang, L.Y., Wu, K.S., Cheng, M.C.: An inventory model for deteriorating items with exponential declining demand and partial backlogging. Yugoslav J. Oper. Res. 15, 277–288 (2005)MathSciNetCrossRefMATHGoogle Scholar
  10. 10.
    Raafat, F.: Survey of literature on continuously deteriorating inventory model. J. Oper. Res. Soc. 42, 27–37 (1991)CrossRefMATHGoogle Scholar
  11. 11.
    Singh, T., Pattnayak, H.: An EOQ model for a deteriorating item with time dependent quadratic demand and variable deterioration under permissible delay in payment. Appl. Math. Sci. 7, 2939–2951 (2013)Google Scholar
  12. 12.
    Singh, T., Pattnayak, H.: An EOQ model for deteriorating items with linear demand, variable deterioration and partial backlogging. J. Service Sci. Manage. 6, 186–190 (2013)CrossRefGoogle Scholar

Copyright information

© Springer India 2016

Authors and Affiliations

  • Trailokyanath Singh
    • 1
  • Nirakar Niranjan Sethy
    • 2
  • Ameeya Kumar Nayak
    • 3
  • Hadibandhu Pattanayak
    • 4
  1. 1.Department of MathematicsC. V. Raman College of EngineeringBhubaneswarIndia
  2. 2.Research ScholarRavenshaw UniversityCuttackIndia
  3. 3.Department of MathematicsIIT RoorkeeRoorkeeIndia
  4. 4.Department of MathematicsInstitute of Mathematics and ApplicationsBhubaneswarIndia

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