A Benders Decomposition Approach for the Symmetric TSP with Generalized Latency Arising in the Design of Semiflexible Transit Systems
针对半柔性公交系统规划中的新问题——带广义延迟的对称旅行商问题，提出了基于Benders分解的分支切割算法，实验表明该方法在求解质量和速度上显著优于商业求解器。
We present the symmetric traveling salesman problem with generalized latency (TSP-GL) a new problem arising in the planning of the important class of semiflexible transit systems. The TSP-GL can be seen as a very challenging variant of the symmetric traveling salesman problem (S-TSP), where the objective function combines the usual cost of the circuit with a routing component accounting for the passenger travel times. The main contributions of the paper include the formulation of the problems in terms of multicommodity flows, the study of its mathematical properties, and the introduction of a branch-and-cut approach based on Benders reformulation taking advantage of properties that relate the feasible region of the TSP-GL and the S-TSP polyhedron. An extensive computational experimentation compares a number of variants of the proposed algorithm, as well as a commercial solver. These experiments show that the method we propose significantly outperforms a well-known commercial solver and obtains good-quality solutions to realistically sized instances within short computational times.