Analysis on Mathematical inventory control policy models for deteriorating products with various costs by using exponential function

In this paper, we estimate the control policies for deteriorating products with various costs by using exponential function. Deteriorating inventory models with exponential function of various costs with shortage are developed. Shortages are acceptable in a production process that is operating well. The fully backlogged portion balances this. Due to varying exponential costs, deterioration rate is also changeable with time function. Demand items are considered as a constant, which can be obeyed in the exponential function of various costs. We develop the stock keeping cost function as exponential with varying time. Based on these deductions, a mathematical model has been developed and solved numerically. Using the help of numerical analysis we obtain optimum order quantity for each cycle. AMS classification: 90805, 90B06.