• JANARDAN BEHERA
• Dr. Bidyadhara Bishi
• Dr. Sudhir Kumar Sahu

This paper deals with an economic production model for deteriorating items with quadratic, linear and constant demand rate with respect to the different time factor. A single item is produced and finite rate of production is proportional to the demand rate. The deterioration rate of the item is taken as linear, constant and fractional with respect to different time factor. Shortage is allowed in the stock and model is under the finite time horizon. This inventory model is solved under modern calculus techniques to evaluate optimum solution. Model is illustrated with a numerical example by taking various number of replenishment. Presented sensitivity analysis to the given numerical example and to draw graphs by using mathematica9.0. Objective of the paper is to find the optimal solution of production time and minimize the total inventory cost during the working time interval.

inventory, deterioration, time-dependent demand, shortage.

"Optimal Replenishment Polices For Time Dependent Deteriorating Items with Time Dependent Demand", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.6, Issue 6, page no.282-288, June 2019, Available :http://www.jetir.org/papers/JETIR1906U74.pdf

"Optimal Replenishment Polices For Time Dependent Deteriorating Items with Time Dependent Demand", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.6, Issue 6, page no. pp282-288, June 2019, Available at : http://www.jetir.org/papers/JETIR1906U74.pdf