Research on Multi-objective and Multilateral Matching Decision of International Container Shipping Services Under M-N Type Trade Relation

International container shipping is of great significance for promoting international trade, realizing global production for its low freight and long distance. Aiming at the matching problem under the M-N type trade relationship, the matching index is divided into benefit index and cost index. Simultaneously, the arithmetic average of matching satisfaction degree of three parties in four matching links is innovatively used to express the overall satisfaction degree. On the basis of constructing the objective function of maximizing the satisfaction degree of matching parties, the benefit of the matching intermediary is also taken into consideration. Finally, the model is transformed into a classical transportation equilibrium problem. The amount of containers shipped from consignor to the consignee has been fixed according to the previous contracts, and the matching satisfaction degree between the three parties will not change linearly with the increase or decrease of the number of containers. Therefore, the initial solution obtained by using the maximum element method is the optimal solution without adjustment, which further demonstrates its practicability and operability.