摘要
利用不确定变量刻画高铁车站客流需求不确定性的基础上,以最小化区段内开行列车的总停站次数为优化目标,以客流需求得到满足应达到的置信水平、列车的最大停站次数及车站所需最少停站列车数量等为约束条件,构建不确定客流条件下高速铁路列车停站方案设计问题的机会约束规划模型,并利用不确定理论的相关知识将其转化为确定性的等价类模型,通过MATLAB平台调用GUROBI优化软件对模型进行求解和计算分析。最后,以武广段高速铁路作为实际背景,在假设列车开行对数和开行区间已知的前提下,通过上述方法求得最优列车停站方案。算例结果验证本文所提方法具有良好的优化质量和计算效率。
Considering various purposes of passenger travel behaviors,this paper described the uncertainty of passenger flow demands at each station by using uncertain variables and formulated a chance-constrained programming model for the train stop planning on a high-speed railway corridor with uncertain passenger demands,with confidence level of passenger flow demand,maximum number of stops of each train,and the minimum number of trains required to stop at each station as the systematic constraints.The objective function is to minimize the total stop times of all the involved trains.Moreover,based on the basic concepts and properties in the uncertainty theory,the proposed model was transformed into its deterministic crisp equivalent.Finally,a case study was performed on Wuhan-Guangzhou high-speed railway corridor to show the effectiveness of the proposed approaches,where the MATLAB software with GUROBI solver was employed to obtain the optimized stopping plan.
出处
《铁道学报》
EI
CAS
CSCD
北大核心
2016年第7期1-7,共7页
Journal of the China Railway Society
基金
国家自然科学基金(U1334207
71401182)
湖南省科技计划(2015JJ2184)
关键词
高速铁路
停站方案
不确定理论
机会约束规划模型
high-speed railway
stopping plan
uncertainty theory
chance-constrained programming model
