International Journal of Computational and Applied Mathematics
  • Year: 2010
  • Volume: 5
  • Issue: 2

An EOQ Model for Time Dependent Linearly Deteriorating Items with Shortages

  • Author:
  • C. K. Tripathy1, U. Mishra2, L.M. Pradhan3
  • Total Page Count: 13
  • Page Number: 163 to 175

1Department of Statistics, Sambalpur University, Jyoti Vihar, Sambalpur- 768019, India.

2Department of Mathematics, P.K.A. College of Engg. Chakarkend, Baragarh-768028, India.

3Department of Mathematics, P.K.A. College of Engg. Chakarkend, Baragarh, 768028, India.

Abstract

In this paper we have developed an order level inventory system for time dependent linearly deteriorating items with decreasing demand rate. In developing the model we have assumed that the production rate and the demand rate are time dependent. We have developed two EOQ models for without shortage case and with shortage case. Our results are being illustrated with numerical examples for both the models and sensitivity analysis has been carried out to show the effect of changes in the parameter on the optimum total average cost.

Keywords

EOQ Model, demand, Time-dependent deterioration, Unit production cost, with shortage, without shortage