中文摘要：

以单条公交线路为研究对象,通过调整线路不同客流分布区间的通过车次数,建立了以社会总体效益最优为目标、对全程车和区间车的发车频率及区间车折返位置同时进行优化的组合调度模型,并与优化后的单一调度成本进行对比,分析了发车频率、折返点位置和费用的关系,以及实施组合调度的边界条件,最后进行了算例验证和灵敏度分析.结果表明,在客流分布不均衡的情况下,组合调度比单一调度可以更有效地降低系统成本,而且不均衡差异越明显,带来的效益越多;在出行量增加的情况下,可以通过合理地配置车辆的形式来降低整个系统的成本.

英文摘要：

In this paper,by using a single bus line as the research objective and by adjusting the bus frequency in different passenger flow sections,a mixed scheduling model is established to simultaneously optimize the frequency of full-length and zonal vehicles as well as the short-turning location of zonal vehicles,with the total social benefit as the optimization objective.Next,the cost of the proposed mixed scheduling method is compared with that of the optimized single scheduling method.Then,the relationship among the frequency,the short-turning location and the cost is analyzed,and the boundary conditions for implementing the mixed scheduling are determined.Finally,a numerical example is cited to verify the proposed model,and the corresponding sensitivity analysis is carried out.The results indicate that,as compared with the single scheduling,the mixed scheduling is more effective in reducing the system cost in the condition of unbalanced passenger flow distribution,especially in more obvious unbalanced condition,and that the system cost can be reduced by reasonably allocating vehicle operation form when travel demand improves.