Inventory Model For Deteriorating Items With Quadratic Demand, Partial Backlogging And Partial Trade Credit

This article develops inventory model for deteriorating items with quadratic demand. Shortages are allowed. We study the partial delay in payments. The objective is to find the optimal cycle times that minimize the total cost. In this study first, we developed arithmetical model and procedure of finding the most favorable solution is developed. Also the solution process is developed in order to minimize the total cost. The total costs are calculated by various principles. A solution process is developed to find the optimal solution and statistical examples are presented to demonstrate the result of the proposal model. Compassion study of the most favorable solution with respect to the parameters of the system is carried out and recommendations for further research are provided