Abstarct: The goal of the dynamic layout design problem solution is to achieve the location of equipment deployment in the factory space in different periods of time, so that by changing the flow of materials between equipment according to the history of literature, the position of equipment from one period to another can be changed. In addition, the factors involved in finding the best deployment can be involved in the problem. An effective layout design minimizes the cost of the organization. A factor which, in the light of previous research, has a significant impact on reducing deployment costs, especially in dynamic conditions, is the cost of transportation of materials between equipment, which has been addressed in this study. The model presented in this study is a comprehensive mathematical model baxsed on the dynamic layout design and the transportation system. Considering the real assumptions such as the fixed position of some equipment and the proper spacing between hazardous equipment, this model has been integrated in detail. To this end, certain criteria have been considered in line with the literature background and expert opinions, such as capacity, cost and reliability of equipment to implement the design of the transportation system. Complexity in solving the problem has inevitably led to the use of the mexta-innovative algorithm. Solving this difficult complexity, according to research, has been done by a variable-search neighborhoods algorithm and simulation of refrigeration. The proposed algorithm has the high ability to generate responses with the characteristics of convergence and variation in the obtained solutions. To prove this ability, the performance of the model is compared with the basic methods in the history of literature. By comparing the performance of the proposed model, and the problem of designing the dynamic layout of the high-skins, which is a special case of refrigeration simulation, and the Hosni model, which has followed the model of the high-ranking model of the variable-search algorithm, was solved and the results with the resulting answers Compared to the model of Balakrishnan and Hasani. The effectiveness of the proposed algorithm has made it possible to achieve a near-optimal solution design with minimal cost. In this research, the proposed algorithm is evaluated and verified by solving numerical examples. These numerical examples are baxsed on a case study of the home appliance industry. After solving the problem with the case study, it is possible to demonstrate the efficiency of the proposed model and the proposed solution in the real world. According to the interpretations that have been made on the computational results, the superiority of the proposed method has been demonstrated in comparison with other existing methods.