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A partially backlogged EPQ model with demand dependent production and non-instantaneous deterioration

Author

Listed:
  • Sanjay Singh
  • S.R. Singh
  • Seema Sharma

Abstract

The present paper deals with a production inventory system for non-instantaneous deteriorating items with demand dependent production rate. It is assumed that demand rate is exponentially increasing function of time. Shortages are considered and partially backordered at a rate of decreasing function of waiting time for next replenishment. Herein, two cases for life time approach regarding the production stopping time point have been studied separately. The numerical examples have been provided separately to illustrate each case. Finally, sensitivity analysis has also been made to show the behaviour of presented model in each case.

Suggested Citation

  • Sanjay Singh & S.R. Singh & Seema Sharma, 2017. "A partially backlogged EPQ model with demand dependent production and non-instantaneous deterioration," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 10(2), pages 211-228.
    • Handle: RePEc:ids:ijmore:v:10:y:2017:i:2:p:211-228
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    Cited by:

    1. Satya Kumar Das, 2022. "A Fuzzy Multi Objective Inventory Model with Production Cost and Set-up-Cost Dependent on Population," Annals of Data Science, Springer, vol. 9(3), pages 627-643, June.
    2. Vera G. Sibirtseva, 2014. "Computer-Based Processing Of Literary Works And Study Of Literature," HSE Working papers WP BRP 07/LNG/2014, National Research University Higher School of Economics.

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