Optimization problem of truck freight transportation with trailer-swapping mode
This study examines the application of the trailer-swapping mode(TSM)in truck freight transportation,which effectively reduces truck empty rates and overall transportation costs through the swapping of trailers between trucks.To explore the influence of individual truck characteristics on the TSM,this study develops a restricted TSM(RTSM)based on the general TSM(GTSM),and a mixed integer linear programming model is constructed to solve the optimization problem of truck freight transportation under both modes.The model objective is to minimize the total cost of trucks,including transportation costs and penalties for delayed delivery of goods.Given the inability of the original model to obtain the optimal solution within an acceptable time,we introduce two auxiliary parameters to transform the model into a pure integer programming model.However,the four-dimen-sional constraints of truck individual revenue under the RTSM still pose significant challenges.Therefore,based on the analysis of the potential swapping nodes and truck sets,the constraints on truck individual revenue are split and reduced.Numerical experiment results indicate that compared to the traditional mode,the GTSM and the RTSM achieve significant reductions in total costs,fuel consumption,empty ruck rates,and travel time by 28.3%and 25.1%,33.3%and 29.7%,33.1%and 29.4%,and 35.0%and 27.6%,respectively.However,the TSM displays a slight deficiency in deliv-ery timeliness,with average delayed delivery rates of 15.4%and 12.9%,respectively.Additionally,under the GTSM,the travel time of some trucks increases slightly,with an average increase of 7.4%.Finally,sensitivity analysis of the truck empty rate coefficient documents the significant performance of the TSM under different coefficients.