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EOQ model with linear time dependent demand and different holding cost functions

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  • R.P. Tripathi
  • S.M. Mishra

Abstract

In real life observation demand rate depends on time. In this paper demand rate is considered as linearly time dependent and holding cost is exponentially time dependent for case I and time dependent for case II. Previous models considered that demand rate as well as holding cost both being constant. To stimulate more sales the demand rate is not constant but it is time-dependent, stock dependent, inflation dependent, cash discount etc. Differential calculus is used for finding optimal order cycle, optimal cycle time, optimal total inventory cost for both cases (i.e., case I and case II). Sensitivity analysis is given for the variation of various parameters for both cases.

Suggested Citation

  • R.P. Tripathi & S.M. Mishra, 2016. "EOQ model with linear time dependent demand and different holding cost functions," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 9(4), pages 452-466.
    • Handle: RePEc:ids:ijmore:v:9:y:2016:i:4:p:452-466
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    Cited by:

    1. Biman Kanti Nath & Nabendu Sen, 2022. "A Partially Backlogged Inventory Model for Time-Deteriorating Items Using Penalty Cost and Time-Dependent Holding Cost," SN Operations Research Forum, Springer, vol. 3(4), pages 1-14, December.

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