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A model on an optimal ordering policy for deteriorating items with exponential declining ramp-type demand, variable deterioration and shortages

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  • Sephali Mohanty
  • Trailokyanath Singh

Abstract

The main objective of the proposed paper is to extend Sanni and Chukwu's (2013) model with the incorporation of the following characteristics: 1) inventory system deals with a single type of item; 2) demand is a generalised demand pattern and is an exponential declining ramp-type function of time; 3) deteriorating items follow a variable deterioration rate where deterioration rate is a linear increasing function of time; 4) shortages in the developed system are assumed to be a natural phenomenon; 5) only complete backlogging case has been taken into consideration. The demand rate is deterministic: it varies with respect to time up to a certain fixed point, becomes steady and then, it is fully backlogged. A couple of numerical examples are used to study the effectiveness of decision variables in the model. Finally, sensitivity analysis of the optimal solution with respect to several system parameters of the model is examined.

Suggested Citation

  • Sephali Mohanty & Trailokyanath Singh, 2025. "A model on an optimal ordering policy for deteriorating items with exponential declining ramp-type demand, variable deterioration and shortages," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 54(1), pages 51-69.
    • Handle: RePEc:ids:ijores:v:54:y:2025:i:1:p:51-69
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