[Journal:] Journal of Industrial Engineering International [ISSN:] 2251-712X [Volume:] 13 [Year:] 2017 [Issue:] 4 [Pages:] 455-463
In this paper, an economic order quantity (EOQ) inventory model for a deteriorating item is developed with the following characteristics: (i) The demand rate is deterministic and two-staged, i.e., it is constant in first part of the cycle and linear function of time in the second part. (ii) Deterioration rate is time-proportional. (iii) Shortages are not allowed to occur. The optimal cycle time and the optimal order quantity have been derived by minimizing the total average cost. A simple solution procedure is provided to illustrate the proposed model. The article concludes with a numerical example and sensitivity analysis of various parameters as illustrations of the theoretical results.
Constant and time-dependent linear demand rate Deteriorating items EOQ Time-proportional deterioration rate