Combined optimization of allocation for full and empty refrigerated containers considering the risk of port delays

According to the delay risk of different ports and the supply and demand of full and empty refrigerated containers, a stochastic planning model for the joint scheduling of full and empty containers in multiple ports and multiple cycles was constructed. According to the characteristics of the delay time of the port node, the Weibull distribution function is used to describe the probability distribution of the delay time generated by the port delay risk, and the port delay risk value is regarded as an opportunity loss cost, and the joint scheduling decision of refrigerated full and empty containers between ports in the port group is optimized on this basis. The results show that the opportunity loss cost of refrigerated full and empty containers caused by delay time accounts for 12.3% of the total cost, and the cost of full container damage of refrigerated containers accounts for 19.6%, and the transportation of refrigerated cargo has obvious sensitivity to port delay time, and the risk of port delay greatly affects the scheduling decision of refrigerated full and empty containers. Numerical experiments were carried out to verify the feasibility of the proposed model and the effectiveness of the proposed model by selecting the degree of port delay, the cost of renting a unit of refrigerated empty containers, and the transportation demand of refrigerated full containers. The experimental results show that the refrigerated full and empty container joint scheduling optimization model can effectively weigh the transportation revenue and port delay loss, which has important guiding significance for port and shipping enterprises to increase transportation revenue and improve risk emergency management in the port delay environment.