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A single cycle perishable inventory model with time dependent quadratic ramp-type demand and partial backlogging

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  • S. Panda
  • S. Senapati
  • M. Basu

Abstract

In order to analyse the behaviour of inventory level of a product level after it's introduction to the market a single item perishable inventory model is developed in this paper, where it is assumed that the demand is time dependent accelerated growth-effect of accelerated growth-steady type. The deterioration of inventory starts after a certain time. Shortages are allowed and are partially backlogged. The profit function is derived and unique existence of the solution is established. A numerical example is presented and sensitivity of the model is examined. The rationale of time dependent quadratic ramp-type demand is discussed.

Suggested Citation

  • S. Panda & S. Senapati & M. Basu, 2009. "A single cycle perishable inventory model with time dependent quadratic ramp-type demand and partial backlogging," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 5(1), pages 110-129.
    • Handle: RePEc:ids:ijores:v:5:y:2009:i:1:p:110-129
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    Cited by:

    1. Dai, Zhuo & Aqlan, Faisal & Gao, Kuo, 2017. "Optimizing multi-echelon inventory with three types of demand in supply chain," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 107(C), pages 141-177.

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