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An Inventory Model for Deteriorating Items Having Seasonal and Stock-Dependent Demand with Allowable Shortages

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Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 437))

Abstract

This paper deals the problem of single deteriorating item, with stock-dependent and seasonal pattern demand rate. It is considered that a constant part of on-hand inventory deteriorates per unit of time. The model is solved for finite time horizon. The aim of this present paper is to give a new height to the inventory literature on stock-dependent and seasonal demand pattern. This paper can be applied in many realistic situations. Shortages are allowed and three different conditions of backlogging are discussed in this model. The purpose of this study is to optimize the overall cost of the system and to find out the optimal ordering quantity. To explain the model and its significant features a numerical illustration and sensitivity analysis with respect to different related parameters is also cited.

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References

  1. Lau, A.H., Lau, H.S.: Effects of a demand-curve’s shape on the optimal solutions of a multi-echelon inventory pricing model. European J. Oper. Res. 147, 530–548 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  2. Singh, S.R., Diksha, C.: Supply chain model in a multi-echelon system with inflation induced demand. Int. Trans. Appl. Sci. 1, 73–86 (2009)

    MATH  Google Scholar 

  3. Bhunia, A.K., Maiti, M.: Deterministic inventory model for deteriorating items with finite rate of replenishment dependent on inventory level. Comput. Oper. Res. 25, 907–1006 (1998)

    Google Scholar 

  4. Giri, B.C., Chaudhuri, K.S.: Deterministic models of perishable inventory with stock-dependent demand rate and nonlinear holding cost. European J. Oper. Res. 105, 467–474 (1998)

    Article  MATH  Google Scholar 

  5. Singh, S.R., Singh, C.: Optimal ordering policy for decaying items with stock-dependent demand under inflation in a supply chain. Int. Rev. Pure and Appl. Math. 3, 189–197 (2008)

    MathSciNet  MATH  Google Scholar 

  6. Hsu, P.H., Wee, H.M., Teng, H.M.: Optimal ordering decision for deteriorating items with expiration date and uncertain lead time. Comput. Ind. Eng. 52, 448–458 (2007)

    Article  Google Scholar 

  7. Patel, S.S.: Inventory model for deteriorating items with stock-dependent demand under and partial backlogging and variable selling price. International. J. Sci. Res. 4, 375–379 (2015)

    Google Scholar 

  8. Mandal, M., Maiti, M.: Inventory of damagable items with variable replenishment rate, stock-dependent demand and some units in hand. Appl. Math. Modelling. 23, 799–807 (1999)

    Article  MATH  Google Scholar 

  9. Tayal, S., Singh, S.R., Sharma, R., Chauhan, A.: Two echelon supply chain model for deteriorating items with effective investment in preservation technology. Int. J. Oper. Res. 6, 78–99 (2014)

    MathSciNet  Google Scholar 

  10. Chung, K.J.: An algorithm for an inventory model with inventory-level-dependent demand rate. Comput. Oper. Res. 30, 1311–1317 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  11. Tayal, S., Singh, S.R., Sharma, R.: An inventory model for deteriorating items with seasonal products and an option of an alternative market. Uncertain Supply Chain Manage. 3, 69–86 (2014)

    Article  Google Scholar 

  12. Teng, J.T., Chang, C.T.: Economic production quantity models for deteriorating items with price- and stock-dependent demand. Comput. Oper. Res. 32, 297–308 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  13. Singh, S.R., Singh, N.: A production inventory model with variable demand rate for deteriorating items under permissible delay in payments. Int. Trans. Math. Sci. Comput. 2, 73–82 (2009)

    MATH  Google Scholar 

  14. Singh, S.R., Rastogi, M.: Integrated inventory model with Amelioration and Deterioration under shortages and inflation. Int. J. Trends Comput. Sci. 2, 831–858 (2013)

    Google Scholar 

  15. Tayal, S., Singh, S.R., Chauhan, A., Sharma, R.: A deteriorating production inventory problem with space restriction. J. Inf. Optim. Sci. 35(3), 203–229 (2014)

    MathSciNet  Google Scholar 

  16. Wu, K.S., Ouyang, L.Y., Yang, C.T.: An optimal replenishment policy for non-instantaneous deteriorating items with stock-dependent demand and partial backlogging. Int. J. Prod. Econ. 101, 369–384 (2006)

    Article  Google Scholar 

  17. 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)

    Article  MATH  Google Scholar 

  18. Singh, S.R., Saxena, N.: An optimal returned policy for a reverse logistics inventory model with backorders. Advances in Decision Sciences. Article ID 386598, p. 21 (2012)

    Google Scholar 

  19. Kumar, S., Rajput, U.S.: A Partially Backlogging Inventory Model for Deteriorating Items with Ramp Type Demand Rate. Am. J. Oper. Res. 5, 39–46 (2015). doi:10.5923/j.ajor.20150502.03

    Google Scholar 

  20. Tayal, S., Singh, S.R., Sharma, R.: A multi item inventory model for deteriorating items with expiration date and allowable shortages. Indian J. Sci. Technol. 7(4), 463–471 (2014)

    Google Scholar 

  21. Singh, S.R., Singh, T.J.: Perishable inventory model with quadratic demand, partial backlogging and permissible delay in payments. Int. Rev. Pure Appl. Math. 1, 53–66 (2008)

    Google Scholar 

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Correspondence to Mohit Rastogi .

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Singh, S.R., Mohit Rastogi, Shilpy Tayal (2016). An Inventory Model for Deteriorating Items Having Seasonal and Stock-Dependent Demand with Allowable Shortages. In: Pant, M., Deep, K., Bansal, J., Nagar, A., Das, K. (eds) Proceedings of Fifth International Conference on Soft Computing for Problem Solving. Advances in Intelligent Systems and Computing, vol 437. Springer, Singapore. https://doi.org/10.1007/978-981-10-0451-3_46

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  • DOI: https://doi.org/10.1007/978-981-10-0451-3_46

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-0450-6

  • Online ISBN: 978-981-10-0451-3

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