Intense conditions of brand competition make it difficult for retailers to make decisions and manage the process of price discounts for each brand. Due to the travelers' motivations for shopping in the airport while waiting for their flights, it is a great opportunity for retailers to enhance their sales efforts. In this sense, the decisions of price discounts in each brand category become an important issue that should be solved as there are many constraints. Inventory level, shelf life, a targeted amount of sales and variables such as changes in a substitute, complementary, and competitive product prices and exchange rates are some of the factors that have significant effect. Therefore, the best decision is thought to be made by considering all these constraints and variables together.