SPSA在公交枢纽内车辆实时调度优化中的应用研究

对公交枢纽内车辆进行实时调度能提高换乘效率,特别是对已进行了调度优化的公交线路,而车辆到达出现延误的情况.根据线路的延迟到达时间和换乘客流量等因素建立了公交枢纽内车辆的实时调度优化模型,提出了基于整个系统费用最小的优化目标函数,并运用随机扰动梯度近似算法（SPSA）对优化模型进行求解,给出了实际应用算例.

Application of SPSA Arithmetic to Real-time Dispatching Control in Public Transit Hub

Real-time dispatching control can improve transfers in a coordinated transit network, especially when some connecting routes are behind schedules at transfer stations. The model developed here is used to optimize the holding time for each ready vehicle based on available arrival delays of late vehicles and other such factors as transfer volumes. The functions of minimum cost in the system are formulated and SPSA arithmetic is used to solve the problem. Finally, an application example of this method is given.