Optimization of Channel Profit for Deteriorating Items when Trade Credit Linked to Order Quantity

In this article, an attempt is made to optimize the joint total profit per unit time of vendor – buyer supply chain system where vendor offers different trade credit depends on order quantity to the buyer. Here items in the inventory are deteriorates with constant rate and demand is a linear function of time. Vendor is establishing threshold for allowing trade credit comprehensively to ensure the greatest benefit for both players. By analyzing total channel profit function, we developed the optimal solution to provide buyer’s order quantity and replenishment time. Numerical examples and sensitivity analysis are given to illustrate the theoretical results, and some managerial insights are also obtained.