• S ACHYUTA
• K Srinivas Rao

Economic Production Quantity models provide the basic framework for scheduling production systems. In this paper, we develop and analyze an EPQ model with the assumption that the rate of replenishment is time dependent. It is also further assumed that demand is linearly dependent on time. Using difference-differential equations the instantaneous state of inventory is derived. With suitable cost considerations, the total cost function and Profit rate function is obtained. By maximizing the total cost function, the optimal operating policies are derived. Through numerical illustration, the solution procedure of the model is demonstrated. The sensitivity analysis of the model revealed that the replenishment parameters and deterioration parameters have a significant

EPQ Model, Time Dependent Demand, Time-Dependent Replenishment, Time-Dependent Deterioration.

"ON OPTIMAL OPERATING POLICIES OF EPQ MODEL FOR DETERIORATING ITEMS WITH TIME DEPENDENT PRODUCTION DEMAND AND DETERIORATION", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.10, Issue 11, page no.e49-e62, November-2023, Available :http://www.jetir.org/papers/JETIR2311408.pdf

"ON OPTIMAL OPERATING POLICIES OF EPQ MODEL FOR DETERIORATING ITEMS WITH TIME DEPENDENT PRODUCTION DEMAND AND DETERIORATION", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.10, Issue 11, page no. ppe49-e62, November-2023, Available at : http://www.jetir.org/papers/JETIR2311408.pdf