Model and algorithm for the 4PL multi-objects routing optimization problem based on Low Carbon Logistics

With the development of Low Carbon Economy, Low Carbon Logistics has attracted more and more researches´ attention. Logistics routing optimization is one of the important ways to reduce carbon emissions. Based on the analysis of practical problem, considered the cost, time and carbon emissions three properties of the route, a mathematical model of the point to point multi-objects routing optimization of the Fourth Party Logistics (4PL) is established. Through using the method of weight sum that considered the customer´s behavioral factors to tackle the multi-objects problem. Considering the characteristics of the problem, a double selection strategy Ant Colony Optimization (DACO) algorithm is designed for the problem. The algorithm is tested by example analysis and numerical analysis with different parameter values and different scale of the problem. The results suggest that the algorithm is effective and efficient.