The aim of this research is to reduce transportation costs and times using an advanced optimization model based on the cuckoo search algorithm. In the present study, a mathematical model is presented to optimize this process, in which costs and times (including the cost of time value) were considered as key variables. Data on the transportation network, including routes, vehicles, transportation costs, interest rates, and transit times, are collected from various sources. This model includes an objective function that seeks to minimize costs and transportation time in the supply chain. The cuckoo search algorithm has been chosen to solve this model due to its high capability in searching for optimal solutions in complex and multifaceted problems. In this step, various parameters of the model, including interest rate, vehicle speed, and route capacity were considered. The results showed that this model was able to achieve the best route and method of transportation in this corridor by significantly reducing transportation costs and times (10-20%). Therefore, it includes 1916 kilometers in length and 57 hours of time, and it costs about 38 cents per kilometer of travel. In this optimal route, 57% of the rail transportation route and 43% of the road transportation were used, and also a sensitivity analysis was performed to changes in transportation speed, interest rate, and other key parameters, which confirmed the stability and flexibility of the model.