杨立兴 北京交通大学轨道交通控制与安全国家重点实验室教授

杨立兴，系统科学学院院长、教授、博导。　　　

教育经历：

2002/08 - 2005/07，清华大学，数学科学系，博士

1999/08 - 2002/07，河北大学，数学与计算机学院，硕士

1995/08 - 1999/07，河北大学，数学系，本科 

工作经历：

2023/06 - 今，北京交通大学，系统科学学院，教授，院长

2013/11 - 2023/06，北京交通大学，轨道交通控制与安全国家重点实验室，教授 

2011/01 - 2012/01，美国犹他大学，土木工程系，访问学者

2009/11 - 2013/11，北京交通大学，轨道交通控制与安全国家重点实验室，副教授

2005/08 - 2009/10，北京交通大学，交通运输学院，讲师 

社会兼职

中国管理科学与工程学会理事（2017-2023）、常务理事（2023-今）

中国系统工程学会理事（2018-今）

中国运筹学会理事（2020-今） 常务理事（2024-今）

中国管理科学与工程学会交通运输管理研究会委员（2017-今）

中国运筹学会智能计算分会理事长、常务理事（2019-2023），监事长（2023-今）

中国运筹学会不确定系统分会常务理事（2011-2015）、理事（2015-2019）

亚太工业工程与管理学会理事（2012-2016）、Fellow（2017-今）

全国性一级学术期刊《系统工程学报》编委

国际SCI期刊《Transportation Research Part B》编委会编辑（Editorial Board Editor）

国际期刊《Industrial Engineering & Management Systems》领域主编

国际期刊《Journal of Management Science and Engineering》编委（Associate Editor）

国际期刊《Urban Rail Transit》编委（Associate Editor）

国际期刊《Journal of Transportation Technologies》编委

国内期刊《交通运输工程与信息学报》编委

国内期刊《兰州交通大学学报》编委

国际SCI期刊《International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems》客座编委

国际SCI期刊《International Journal of Intelligent Systems》客座编委

国际SCI期刊《Computers & Industrial Engineering》客座编委

国际期刊《Industrial Engineering and Management Systems》客座编委

国际期刊《Journal of Uncertain Systems》客座编委

主讲课程：

研究生课程：《不确定系统分析》

研究生课程：《现代优化与智能计算方法》

本科生课程：《建模方法及应用》

本科生课程：《现代交通科学前沿导论》

招生专业：

交通运输规划与管理硕士

系统科学硕士

交通运输硕士

系统科学博士

交通运输规划与管理博士

        

交通运输规划与管理

系统科学

运输组织理论与技术

综合交通运输理论与技术

系统理论与复杂性

复杂交通系统建模与调控

综合交通系统分析与集成

大数据与智能系统

科研项目

1.国家杰出青年科学基金：轨道交通运输管理，2019-01-01--2023-12-31，主持。

2.国家自然科学基金创新研究群体项目子课题1：城市群交通出行需求分析与动态管理，2017-01-01--2022-12-31，主持。

3.北京市自然基金“轨道交通联合项目”：面向客流需求的城市轨道交通列车节能优化模型和算法，2018-01-01--2020-12-31，主持。

4.国家自然科学基金优秀青年科学基金：轨道交通运输管理，2015-01-01--2017-12-31，主持。

5.国家重点实验室：轨道交通综合优化控制理论与方法 研究，2013-01-01--2014-12-31，主持。

6.国家自然科学基金“面上”：动态不确定路径优化模型与算法及其在交通应急管理中的应用，2013-01-01--2016-12-31，主持。

7.科技部“973”：大城市交通需求的引导理论与方法，2012-01-01--2016-08-31，参加。

8.国家自然科学基金“重点”：基于出行行为的综合交通网络多方式选择与分配模型及算法研究，2012-01-01--2016-12-31，参加。

9.教育部“新世纪优秀人才”：高速列车运行优化控制模型与算法，2011-01-01--2013-12-31，主持。

10.国家重点实验室：高速铁路网络上列车调度问题多目标优化模型与算法 ，2012-01-01--2013-12-31，主持。

11.科技部“863”：列车运行综合优化控制技术-列车运行综合优化控制模型与算法研究，2011-10-01--2014-10-31，参加。

12.基本科研业务费：非正常干扰下高速列车运行特性及疏解问题研究，2011-03-03--2013-03-02，主持。

13.国家重点实验室：北京交通大学红果园“双百”人才培育计划D类，2009-06-01--2012-05-31，主持。

14.国家重点实验室：大规模高速路网中基于路径选择的列车流优化调整研究，2010-01-01--2012-12-31，主持。

15.国家自然科学基金"青年基金"：铁路运输服务时空网络模型与算法，2010-01-01--2012-12-31，主持。

16.国家重点实验室：列车运行控制系统的建模与控制方法研究，2009-04-01--2012-03-31，参加。

17.校科技基金：随机和模糊环境下的运输问题，2006-01-01--2007-12-31，主持。

18.校科技基金：模糊随机优化问题研究及应用，2005-10-01--2007-10-31，主持。

软件著作权：

1.城市轨道交通客流精细化控制策略优化与仿真软件V1.0（2017SR638383）

2.城市轨道交通网络客流协同控制策略优化与仿真软件V1.0（2019SRBJ0440）

3.列车运行管理辅助决策系统V1.0（2018SR468410）

4.基于模糊预测控制的列车运行自动调整仿真软件V1.0（2020SR0119981）

 

专利

基于站台冗余的列车运行图调整方法和系统（已授权，ZL201310096001.6）

一种高速列车多动力单元分布式控制方法（已授权，ZL201910588591.1）

一种基于事件触发的列车自动调整控制方法 （已授权，ZL201910390719.3）

一种基于周期性间歇控制的重载列车巡航控制方法（已授权，ZL201910426211.8）

基于客流需求的城市轨道交通客流精细化控制方法及系统（已授权，ZL201711023395.7）

一种基于预测控制的高速列车节能运行曲线在线计算方法（已授权，ZL202011032137.7）

 

 

专著/译著

《城市轨道交通优化管理与控制》，科学出版社，北京，2018. 

发表的期刊论文

[1] Lixing Yang and Baoding Liu, On Inequalities and Critical Values of Fuzzy Random Variable, Journal of Uncertainty, Fuzziness & Knowledge-Based Systems, Vol. 13, No. 2, 163-175, 2005. 

[2] Lixing Yang and Baoding Liu, Some Inequalities of Birandom Variable and Their Applications, World Journal of Modelling and Simulation, Vol. 2, No. 5, 322-330, 2006.  

[3] Lixing Yang and Baoding Liu, On continuity theorem for characteristic function of fuzzy variable, Journal of Intelligent & Fuzzy Systems, Vol. 17, No. 3, 325-332, 2006. 

[4] Lixing Yang and Baoding Liu, On Sufficiency and Necessity Condition of Chance Distribution for Birandom Variable, Information, Vol. 9, No. 1, 33-36, 2006.

[5] Lixing Yang and Yuan Feng, Uniform Convergence of Fuzzy Random Sequence, Journal of Information and Computer Science, Vol. 1, No. 4, 252-256, 2006.

[6] Yuan Feng and Lixing Yang, A two-objective fuzzy k-cardinality assignment problem, Journal of Computational and Applied Mathematics, Vol. 197, 233-244, 2006. 

[7] Linzhong Liu, Yinzhen Li and Lixing Yang,The maximum fuzzy weighted matching models and hybrid genetic algorithm, Applied Mathematics and Computation, Vol. 181, No. 1, 662-674, 2006. 

[8] Lixing Yang and Yuan Feng, Fuzzy multi-level warehouse layout problem: new model and algorithm, Journal of Systems Science and Systems Engineering, Vol. 15, No. 4, 493-503, 2006.

[9] Lixing Yang and Linzhong Liu, Fuzzy fixed charge solid transportation problem and algorithm, Applied Soft Computing, Vol. 7, No. 3, 879-889, 2007.  

[10] Lixing Yang, Xiaoyu Ji, Ziyou Gao and Keping Li, Logistics distribution centers location problem and algorithm under fuzzy environment, Journal of Computational and Applied Mathematics, Vol. 208, No. 2, 303-315, 2007. 

[11] Lixing Yang and Yuan Feng, A bicriteria solid transportation problem with fixed charge under stochastic environment, Applied Mathematical Modelling, Vol. 31, No. 12, 2668-2683, 2007.

[12] Keping Li, Ziyou Gao and Lixing Yang, Modeling and Simulation for Train Control System Using Cellular Automata, Science In China Series E, Vol. 50, No. 6, 765-773, 2007. 

[13] Feng Li, Ziyou Gao, Keping Li, Lixing Yang, Efficient scheduling of railway traffic based on global information of train, Transportation Research Part B: Methodological, Vol. 42, No. 10, 1008-1030, 2008. 

[14] Lixing Yang, Keping Li, B-valued fuzzy variable, soft computing, Vol. 12, 1081–1088, 2008.

[15] Lixing Yang and K. Iwamura, Fuzzy Chance-Constrained Programming with Linear Combination of Possibility Measure and Necessity Measure, Applied Mathematical Sciences, Vol. 2, No. 46, 2271-2288, 2008.

[16] Lixing Yang, Chance-constrained methods for optimization problems with random and fuzzy parameters, International Journal of Innovative Computing, Information and Control, Vol. 5, No. 2, 413-422, 2009.

[17] Lixing Yang, Keping Li, and Ziyou Gao, Train timetable problem on a single-line railway with fuzzy passenger demand, IEEE Transactions on Fuzzy Systems, Vol. 17, No. 3, 617-629, 2009.

[18] Lixing Yang, KepingLi, The railway transportation planning problem and its genetic algorithm based tabu search algorithm, ICIC Express Letters, Vol. 3, No. 3(A)), 361-366, 2009.

[19] Xiang Li, Zhongfeng Qin, Lixing Yang, A chance-constrained portfolio selection model with risk constraints, Applied Mathematics and Computation, Vol. 217, 949–951, 2010.  

[20] Xiang Li, Lixing Yang , Jinwu Gao, Fuzzy edmundson-madansky inequality and its application to portfolio selection problems, Information: An International Interdisciplinary Journal, Vol. 13,  No. 4, 1163-1173, 2010.

[21] Li Keping, Gao Ziyou, Tao Tang, Lixing Yang, Solving the constrained shortest path problem using random search strategy, Science In China Series E, Vol. 53, 3258-3263, 2010. 

[22] Lixing Yang , Feng Li, Ziyou Gao, and Keping Li, Discrete-time movement model of a group of trains on a rail line with stochastic disturbance, Chinese Physics B, Vol. 19, No. 10, 100510, 2010. 

[23] Lixing Yang, Ziyou Gao and Keping Li, Passenger Train Scheduling on Single or Partially Double Lines Railway with Stochastic Information, Engineering Optimization, Vol. 42, 1003 –1022, 2010. 

[24] Xiang Li, Zhongfeng Qin, Lixing Yang, Keping Li, Entropy Maximization Model for Trip Distribution Problem with Fuzzy and Random Parameters, Journal of Computational and Applied Mathematics, Vol. 235, 1906-1913, 2011. 

[25] Lixing Yang, Ziyou Gao, Keping Li, Railway Freight Transportation Planning with Mixed Uncertainty of Randomness and Fuzziness, Applied Soft Computing, Vol. 11, 778–792, 2011. 

[26] Lixing Yang, Ziyou Gao, Xiang Li, Keping Li, A weighted min-max model for balanced freight train routing problem with fuzzy information, Engineering Optimization, Vol. 43, 1289-1309, 2011. 

[27] Lixing Yang, Xiang Li, Ziyou Gao, Keping Li, A fuzzy minimum risk model for the railway transportation planning problem, Iranian Journal of Fuzzy Systems, Vol. 8, 39-60, 2011. 

[28] Lixing Yang, Xiang Li, Keping Li., A control simulation method of high-speed trains on railway network with irregular influence, Communications in Theoretical Physics, Vol. 56, 411-418, 2011. 

[29] Xiang Li, Lixing Yang, Keping Li, Ziyou Gao, 3E-model for temporary passenger train scheduling problem, Information-An International Interdisciplinary Journal, Vol. 14, No. 2, 373-389, 2011.

[30] Lixing Yang, Keping Li, Ziyou Gao, and Xiang Li, Optimizing trains movement on a railway network, Omega: The International Journal of Management Science, Vol. 40, 619–633, 2012.

[31] Xiang Li, Chenfu Chien, Lei Li, Ziyou Gao, Lixing Yang, Energy constraint operation strategy for high-speed railway, International Journal of Innovative Computing, Information and Control, Vol. 8, No. 10, 6569-6583, 2012.

[32] Lixing Yang, Xiang Li, Chance distribution of a fuzzy random variable and laws of large numbers, Information: An International Interdisciplinary Journal, Vol. 15, 3881-3894, 2012. 

[33] Lixing Yang, Xiaofei Yang, Cuilian You, Stochastic scenario-based time-stage optimization model for the least expected time shortest path problem, Journal of Uncertainty, Fuzziness & Knowledge-Based Systems, Vol. 21, Supp01, 17-33, 2013. 

[34] Lixing Yang, Xuesong Zhou, Ziyou Gao, Rescheduling trains with scenario-based fuzzy recovery time representation on two-way double-track railways, Soft Computing, Vol. 17, No. 4, 605-616, 2013. 

[35]  Lixing Yang, Xuesong Zhou, Constraint reformulation and Lagrangian relaxation-based solution algorithm for a least expected time path problem, Transportation Research Part B, Vol. 59, 22-44, 2014. 

[36]  Pei Liu, Lixing Yang, Li Wang, Shukai Li, A Solid Transportation Problem with Type-2 Fuzzy Variables, Applied Soft Computing, Vol. 24, 543-558, 2014. 

[37] Xiaoming Xu, Keping Li, Lixing Yang, Jingjing Ye, Balanced train timetabling on a single-line railway with optimized velocity, Applied Mathematical Modelling, Vol. 38, No. 3, 894-909, 2014. 

[38] Xiang Li, Chien CF, Lixing Yang, Ziyou Gao, The train fueling cost minimization problem with fuzzy fuel prices, Flexible Service and Manufacturing Journal, Vol. 48, 75-93, 2014. 

[39] Lixing Yang, Xuesong Zhou, Ziyou Gao, Credibility-based rescheduling model in a double-track railway network: a fuzzy reliable optimization approach, Omega: The International Journal of Management Science, Vol. 48, 75-93, 2014.

[40] Shukai Li, Lixing Yang, Keping Li, Ziyou Gao, Robust sample-data cruise control scheduling of high speed trains, Transportation Research Part C: Emerging Technologies, Vol. 46, 274-283, 2014. 

[41] Ce Zhao, Lixing Yang, Shukai Li, Allocating freight empty cars in railway networks with dynamic demands, Discrete Dynamics in Nature and Society, Vol. 2014, 349341. 

[42] Lixing Yang, Pei Liu, Shukai Li, Yuan Gao, Dan A. Ralescu, Reduction methods of type-2 uncertain variables and their applications to solid transportation problem, Information Sciences, Vol. 291, 204-237, 2015. 

[43] Shukai Li, Lixing Yang, Keping Li, Ziyou Gao, Stabilization strategies of a general nonlinear car-following model with varying reaction-time delay of the drivers, ISA Transactions, Vol. 53, 1739-1745, 2014. 

[44] Shukai Li, Lixing Yang, Keping Li, Robust output feedback cruise control for high-speed train movement with uncertain parameters, Chinese Physics B, Vol. 24, No. 1, 010503.

[45] Lixing Yang, Shukai Li, Yuan Gao, Ziyou Gao, A coordinated routing model with optimized velocity for train scheduling on a single-track railway line, International Journal of Intelligent Systems, Vol. 30, 3-22, 2015. 

[46] Yuan Gao, Lixing Yang, Shukai Li, On distribution function of the diameter in uncertain graph, Information Sciences, Vol. 296, 61–74, 2015. 

[47] Li Wang, Ziyou Gao, Lixing Yang, A priori least expected time paths in fuzzy, time-variant transportation networks, Engineering Optimization, Vol. 48, No. 2, 272–298, 2016.  

[48] Yuan Gao, Rong Gao, Lixing Yang, Analysis of order statistics of uncertain variables, Journal of Uncertainty Analysis and Applications, Vol. 3, 1, 2015. 

[49] Yan Zhang, Pei Liu, Lixing Yang, Yuan Gao, A bi-objective model for uncertain multi-modal shortest path problems, Journal of Uncertainty Analysis and Applications, Vol. 3, 8, 2015. 

[50] Shukai Li, Lixing Yang, Ziyou Gao, Coordinated cruise control for high-speed trains movements based on a multi-agent model, Transportation Research Part C: Emerging Technologies, Vol. 56, 281-292, 2015.

[51] Li Wang, Ziyou Gao, Lixing Yang, Criteria for the a priori shortest path generation in uncertain time-varying transportation networks, International Journal of Uncertainty, Fuzziness & Knowledge-Based Systems, Vol. 23, No. 6, 807-827, 2015. 

[52] Xiaoming Xu, Keping Li, Lixing Yang, Scheduling heterogeneous train traffic on double tracks with efficient dispatching rules, Transportation Research Part B, Vol.78, 364-384, 2015.

[53] Pei Liu, Lixing Yang, Ziyou Gao, Shukai Li, Yuan Gao, Fault tree analysis combined with quantitative analysis for high-speed railway accidents, Safety Science, Vol.79, 344-–357, 2015.

[54] Dewang Chen, Xiaojie Han, Ruijun Cheng, Lixing Yang, Position calculation models by neural computing and online learning methods for high-speed train, Neural Computing and Applications,  Vol. 27, No. 6, 1617–1628, 2016. 

[55] Jiateng Yin, Dewang Chen, Lixing Yang, Tao Tang, Bin Ran, Efficient real-time train operation algorithms with uncertain passenger demands, IEEE Transactions on Intelligent Transportation Systems, Vol. 17, No. 9, 2600–2612, 2016.

[56] Xiaoming Xu, Keping Li, Lixing Yang, Rescheduling subway trains by a discrete event model considering service balance performance, Applied Mathematical Modelling, Vol. 40, No. 2, 1446-1466, 2016. 

[57] Shukai Li, Bart De Schutter, Lixing Yang, Ziyou Gao, Robust model predictive control for train regulation in underground railway transportation, IEEE Transactions on control system technology, Vol. 24, No. 3, 1075-1083, 2016.

[58] Shukai Li, Lixing Yang, Ziyou Gao, Adaptive coordinated control of multiple high-speed trains with input saturation, Nonlinear Dynamics, Vol. 83, No. 4, 2157-2169, 2016. 

[59] Lixing Yang, Yan Zhang, Shukai Li, Yuan Gao, A two-stage stochastic optimization model for the transfer activity choice in metro networks, Transportation Research Part B, Vol. 83, 271-297, 2016. 

[60] Lixing Yang, Jianguo Qi, Shukai Li, Yuan Gao, Collaborative optimization for train scheduling and train stop planning on high-speed railways, Omega, Vol.64, 57-76, 2016.  

[61] Yuan Gao, Lixing Yang, Shukai Li, Uncertain models on railway transportation planning problem, Applied Mathematical Modelling, Vol. 40, 4921-4934, 2016.  

[62] Shukai Li, Lixing Yang, Ziyou Gao, Keping Li, Optimal guaranteed cost cruise control for high-speed train movement, IEEE Transactions on Intelligent Transportation Systems, Vol.17, No. 10, 2879-2887, 2016.

[63] Xiangsong Meng, Lixing Yang, Stochastic portfolio selection problem with reliability criteria, Discrete Dynamics in Nature and Society, Vol. 2016, 8417643. 

[64] Yeran Huang, Lixing Yang, Tao Tang, Fang Cao, Ziyou Gao, Saving energy and improving service quality: bicriteria train scheduling in urban rail transit systems, IEEE Transactions on Intelligent Transportation Systems, Vol.17, No. 12, 3364-3379, 2016. 

[65] Jiateng Yin, Tao Tang, Lixing Yang, Ziyou Gao, Bin Ran, Energy-efficient metro train rescheduling with uncertain time-variant passenger demands: An approximated dynamic programming approach, Transportation Research Part B, Vol. 91, 178-210, 2016. 

[66] Li Wang, Lixing Yang, Ziyou Gao, The constrained shortest path problem with stochastic correlated link travel times, European Journal of Operational Research,  Vol.255, No.1, 43-57, 2016. 

[67] Jianguo Qi, Lixing Yang, Yuan Gao, Shukai Li, Ziyou Gao, Integrated multi-track station layout design and train scheduling models on railway corridors, Transportation Research Part C, Vol. 69, 91-119, 2016. 

[68] Li Wang, Lixing Yang, Ziyou Gao, Shukai Li, Xuesong Zhou, Evacuation planning for disaster responses: a stochastic programming framework, Transportation Research Part C, Vol. 69, 150-172, 2016. 

[69] Yuan Gao, Leo Kroon, Marie Schmidt, Lixing Yang, Rescheduling a metro line in an over-crowded situation after disruptions, Transportation Research Part B, Vol. 93, 425-449, 2016.

[70] Shukai Li, Lixing Yang, Ziyou Gao, Keping Li, Robust train regulation for metro lines with stochastic passenger arrival flow, Information Sciences, Vol. 373, 287-307, 2016.

[71] Kai Yang, Lixing Yang, Ziyou Gao, Planning and optimization of intermodal hub-and-spoke network under mixed uncertainty, Transportation Research Part E, Vol. 95, 248-266, 2016.

[72] Yuan Gao, Lixing Yang, Ziyou Gao. Energy consumption and travel time analysis for metro lines with express/local mode, Transportation Research Part D,  Vol. 60, 7-27, 2018.

[73] Xiaoming Xu, Lixing Yang, Ziyou Gao, Jiancheng Long. Simulations for train traffic flow on single-track railways with speed limits and slopes, Journal of Simulation,  Vol. 11, No. 4, 346-356, 2017.

[74] Lixing Yang, Xuesong Zhou. Optimizing on-time arrival probability and percentile travel time for elementary path finding in time-dependent transportation networks: linear mixed integer programming reformulations, Transportation Research Part B,  Vol. 96, 68-91, 2017.

[75] Jiateng Yin, Lixing Yang, Tao Tang, Ziyou Gao, Bin Ran, Dynamic passenger demand oriented metro train scheduling with energy-efficiency and waiting time minimization: mixed-integer linear programming approaches, Transportation Research Part B, Vol. 97, 182-213, 2017. 

[76] Shukai Li, Maged M. Dessouky, Lixing Yang, Ziyou Gao. Joint optimal train regulation and passenger flow control strategy for high-frequency metro lines, Transportation Research Part B, Vol. 99, 113-137, 2017.

[77] Kai Yang, Lixing Yang, Ziyou Gao. Hub-and-spoke network design problem under uncertainty considering financial and service issues: A two-phase approach, Information Sciences, Vol. 402, 15-34, 2017. 

[78] Wenjie Li, Lixing Yang, Li Wang, Xuesong Zhou, Ronghui Liu, Ziyou Gao. Eco-reliable path finding in time-variant and stochastic networks, Energy, Vol. 121, 372-387, 2017.

[79] Yuan Gao, Lixing Yang, Ziyou Gao. Real-time automatic rescheduling strategy for an urban rail line by integrating the information of fault handling, Transportation Research Part C, Vol.81, 246-267, 2017.

[80] Jiannan Jia, Kai Yang, Lixing Yang, Yuan Gao, Shukai Li. Designing train speed trajectory with the energy efficiency and service quality, Engineering Optimization, Vol. 50, No. 5, 797-818, 2018. 

[81] Yeran Huang, Lixing Yang, Tao Tang, Ziyou Gao, Fang Cao. Joint train scheduling optimization with service quality and energy efficiency in urban rail transit networks, Energy,  Vol.138, 1124-1147, 2017. 

[82] Rui Wang, Kai Yang, Lixing Yang. Designing hub-and-spoke network with uncertain travel times: A new hybrid methodology, Journal of Uncertain Systems, Vol. 11, No. 4, 243-256, 2017. 

[83] Feng Li, Ziyou Gao, David Z.W. Wang, Ronghui Liu, Tao Tang, Jianjun Wu, Lixing Yang, A subjective capacity evaluation model for single-track railway system with δ-balanced traffic and λ-tolerance level, Transportation Research Part B, Vol. 105, 43-66, 2017. 

[84] Yuan Gao, Leo Kroon, Lixing Yang, Ziyou Gao. Three-stage optimization method for the problem of scheduling additional trains on a high-speed rail corridor, Omega, Vol. 80, 175-191, 2018. 

[85] Shuo Yang, Kai Yang, Ziyou Gao, Lixing Yang, Jungang Shi, Last-train timetabling under transfer demand uncertainty: mean-variance model and heuristic solution, Journal of Advanced Transportation,  Vol. 2017, 5095021, 2017. 

[86] Jiateng Yin, Tao Tang, Lixing Yang, Jing Xun, Yeran Huang, Ziyou Gao, Research and development of automatic train operation for railway transportation systems: A survey, Transportation Research Part C, Vol. 85, 548-572, 2017. 

[87] Li Wang, Lixing Yang, Ziyou Gao, Yeran Huang, Robust train speed trajectory optimization: A stochastic constrained shortest path approach, Frontiers of Engineering Management, Vol. 4, No. 4, 408-417, 2017.

[88] Shuo Yang, Kai Yang, Lixing Yang, Ziyou Gao, MILP formulations and a TS algorithm for reliable last train timetabling with uncertain transfer flows, Journal of the Operational Research Society, Vol. 69, No. 8, 1318-1334, 2018.

[89] Jianguo Qi, Lixing Yang, Zhen Di, Shukai Li, Kai Yang, Yuan Gao, Integrated optimization for train operation zone and stop plan with passenger distributions, Transportation Research Part E, Vol. 109, 151-173, 2017. 

[90] Shukai Li, Lixing Yang, Ziyou Gao, Optimal switched control design for automatic train regulation of metro lines with time-varying passengers arrival flow, Transportation Research Part C, Vol. 86, 425-440, 2018.

[91] Pei Liu, Lixing Yang, Ziyou Gao, Yeran Huang, Shukai Li, Yuan Gao, Energy-efficient train timetable optimization in the subway system with energy storage devices, IEEE Transactions on Intelligent Transportation Systems, Vol. 19, No. 12, 3947-3963, 2018. 

[92] Jungang Shi, Lixing Yang, Jing Yang, Ziyou Gao, Service-oriented train timetabling with collaborative passenger flow control on an oversaturated metro line: an integer linear optimization approach, Transportation Research Part B, Vol. 110, 26-59, 2018. 

[93] Xiaoming Xu, Keping Li, Lixing Yang, Ziyou Gao, An efficient train scheduling algorithm on a single-track railway system, Journal of Scheduling, Vol. 22, No. 1, 85-105, 2019.

[94] Huimin Zhang, Shukai Li, Lixing Yang, Real-time optimal train regulation design for metro lines with energy-saving, Computer & Industrial Engineering, Vol. 127, 1282-1296, 2019. 

[95] Zhen Di, Lixing Yang, Jianguo Qi, Ziyou Gao, Transportation network design for maximizing flow-based accessibility, Transportation Research Part B, Vol. 110, 209-238, 2018.

[96] Shukai Li, Lixing Yang, Ziyou Gao, Efficient real-time control design for automatic train regulation of metro loop lines, IEEE Transactions on Intelligent Transportation Systems, Vol. 20, No. 2, 485-496, 2019. 

[97] Renming Liu, Shukai Li, Lixing Yang, Jiateng Yin, Energy-efficient subway train scheduling design with time-dependent demand based on an approximate dynamic programming approach, IEEE Transactions on Systems, Man, and Cybernetics: Systems, Vol. 50, No. 7, 2475-2490, 2020. 

[98] Rui Wang, Kai Yang, Lixing Yang, Ziyou Gao, Modelling and optimization of a road-rail intermodal transport system under uncertain information, Engineering Applications of Artificial Intelligence, Vol. 72, 423-436, 2018. 

[99] Jianguo Qi, Lixing Yang, Yuan Gao, Zhen Di, Service-oriented train timetabling problem with consideration of women-only passenger cars, Computers & Industrial Engineering, Vol. 127, 1164-1182, 2019. 

[100] Chuntian Zhang, Yuan Gao, Lixing Yang, Uday Kumar, Ziyou Gao, Integrated optimization of train scheduling and maintenance planning on high-speed railway corridors, Omega, Vol. 87, 86-104, 2019. 

[101] Jianguo Qi, Valentina Cacchiani, Lixing Yang, Robust train timetabling and stop planning with uncertain passenger demand, Electronic Notes in Discrete Mathematics, Vol. 69, 213-220, 2018.

[102] Chuntian Zhang, Yuan Gao, Wenjie Li, Lixing Yang, Ziyou Gao, Robust train scheduling problem with optimized maintenance planning on high-speed railway corridors: The China case, Journal of Advanced Transportation, Vol. 2018, 6157192, 2018.

[103] Shukai Li, Xuesong Zhou, Lixing Yang, Ziyou Gao, Automatic train regulation of complex metro networks with transfer coordination constraints: A distributed optimal control framework, Transportation Research Part B, Vol. 117, 228-253, 2018. 

[104] Yeran Huang, Lixing Yang, Tao Tang, Ziyou Gao, Fang Cao, Keping Li, Train speed profile optimization with on-board energy storage devices: A dynamic programming based approach, Computers & Industrial Engineering,  Vol. 126, 149-164, 2018. 

[105] Meng Zhao, Jianxun Cui, Jiateng Yin, Xiaopeng Li, Lixing Yang, Shi An, An integrated framework for electric vehicle rebalancing and staff relocation in one-way carsharing systems: Model formulation and Lagrangian relaxation-based solution approach, Transportation Research Part B, Vol. 117, 542-572, 2018.

[106] Renming Liu, Shukai Li, Lixing Yang, Collaborative optimization for metro train scheduling and train connections combined with passenger flow control strategy, Omega, Vol. 90, 101990, 2020.

[107] Pengli Mo, Lixing Yang, Ziyou Gao, Energy-efficient train operation strategy with speed profiles selection for an urban metro line, Transportation Research Record, Vol. 2673，No. 4, 348-360, 2019. 

[108] Shukai Li, Ronghui Liu, Lixing Yang, Ziyou Gao, Robust dynamic bus controls considering delay disturbances and passenger demand uncertainty, Transportation Research Part B, Vol. 123, 88-109, 2019.

[109] Pengli Mo, Lixing Yang, Yanhui Wang, Jianguo Qi, A flexible metro train scheduling approach to minimize energy cost and passenger waiting time, Computers & Industrial Engineering, Vol. 132, 412-432, 2019. 

[110] Jiateng Yin, Lixing Yang, Xuesong Zhou, Tao Tang, Ziyou Gao, Balancing a one-way corridor capacity and safety-oriented reliability: A stochastic optimization approach for metro train timetabling, Naval Research Logistics, Vol. 66, No. 4, 297-320, 2019.

[111] Pengli Mo, Lixing Yang, Andrea D’Ariano, Jiateng Yin, Yu Yao, Ziyou Gao, Energy-efficient train scheduling and rolling stock circulation planning in a metro line: A linear programming approach, IEEE Transactions on Intelligent Transportation Systems, Vol. 21, No. 9, 3621-3633, 2020.

[112] Jungang Shi, Lixing Yang, Jing Yang, Feng Zhou, Ziyou Gao, Cooperative passenger flow control in an oversaturated metro network with operational risk thresholds, Transportation Research Part C, Vol. 107, 301-336, 2019. 

[113] Ziyou Gao, Lixing Yang, Energy-saving operation approaches for urban rail transit systems, Frontiers of Engineering Management, Vol. 6, No. 2, 139-151, 2019.

[114] Zhen Di, Lixing Yang, Li Wang, Jianguo Qi，A robust network design problem based on the spatiotemporal attributes of activities, IEEE Transactions on Intelligent Transportation Systems, Vol. 21, No. 10, 4294-4307, 2020.

[115] Shukai Li, Lixing Yang, Ziyou Gao, Distributed optimal control for multiple high-speed train movement: An alternating direction method of multipliers, Automatica, Vol. 112, 108646, 2020. 

[116] Yeran Huang, Carlo Mannino, Lixing Yang, Tao Tang, Coupling time-indexed and big-M formulations for real-time train scheduling during metro service disruptions, Transportation Research Part B,  Vol. 133, 38-61, 2020. 

[117] Kai Yang, Rui Wang, Lixing Yang, Fuzzy reliability-oriented optimization for the road-rail intermodal transport system using tabu search algorithms, Journal of Intelligent & Fuzzy Systems, Vol. 38, No. 3, 3075-3091, 2020. 

[118] Chuntian Zhang, Yuan Gao, Lixing Yang, Ziyou Gao, Jianguo Qi, Joint optimization of train scheduling and maintenance planning in a railway network: A heuristic algorithm using Lagrangian relaxation, Transportation Research Part B, Vol. 134, 64-92, 2020. 

[119] Lixing Yang, Zhen Di, Maged M. Dessouky, Ziyou Gao, Jungang Shi, Collaborative optimization of last-train timetable with passenger accessibility: A space-time network design based approach, Transportation Research Part C,  Vol. 114, 572-597, 2020.

[120] Valentina Cacchiani, Jianguo Qi, Lixing Yang,  Robust optimization models for integrated train stop planning and timetabling with passenger demand uncertainty, Transportation Research Part B,  Vol. 136, 1-29, 2020. 

[121] Fanting Meng, Lixing Yang, Yun Wei, Shukai Li, Ziyou Gao, Jungang Shi, Collaborative passenger flow control on an oversaturated metro line: A path choice approach, Transportmetrica B: Transport Dynamics, Vol. 8, No. 1, 376-404, 2020.

[122] Zhen Di, Lixing Yang, Reversible lane network design for maximizing the coupling measure between demand structure and network structure, Transportation Research Part E,  Vol. 141, 102021, 2020. 

[123] Yuanxiang Fu, Shukai Li, Lixing Yang, Robust perimeter control design for two urban regions with sampled-data and input saturation, Transportmetrica B: Transport Dynamics,  Vol. 9, No. 1, 86-108, 2021.

[124] Xi Wang, Shukai Li, Tao Tang, Lixing Yang, Event-triggered predictive control for automatic train regulation and passenger flow in metro rail systems, IEEE Transactions on Intelligent Transportation Systems, Vol. 23, No. 3, 1782-1795, 2022.

[125] Pei Liu, Marie Schmidt, Qingxia Kong, Joris Camiel Wagenaar, Lixing Yang, Ziyou Gao, Housheng Zhou, A robust and energy-efficient train timetable for the subway system, Transportation Research Part C, Vol. 121, 102822, 2020. 

[126] Huimin Zhang, Shukai Li, Yanhui Wang, Yihui Wang, Lixing Yang, Real-time optimization strategy for single-track high-speed train rescheduling with disturbance uncertainties: A scenario-based chance-constrained model predictive control approach, Computers & Operations Research, Vol. 127, 105135, 2021.

[127] Fanting Meng, Lixing Yang, Jungang Shi, Zhong-Zhong Jiang, Ziyou Gao, Collaborative passenger flow control for oversaturated metro lines: A stochastic optimization method, Transportmetrica A: Transport Science, Vol. 18, No. 3,  619-658, 2022.

[128] Weiqiao Wang, Kai Yang, Lixing Yang, Ziyou Gao, Tractable approximations for the distributionally robust conditional vertex p-center problem: Application to the location of high-speed railway emergency rescue stations, Journal of the Operational Research Society, Vol. 73, No. 3,  525-539, 2022.

[129] Huimin Zhang, Shukai Li, Yihui Wang, Lixing Yang, Ziyou Gao, Collaborative real-time optimization strategy for train rescheduling and track emergency maintenance of high-speed railway: A Lagrangian relaxation-based decomposition algorithm, Omega, Vol. 102, 102371，2021.

[130] Congcong Gong, Jungang Shi, Yanhui Wang, Housheng Zhou, Lixing Yang, Dewang Chen, Hanchuan Pan, Train timetabling with dynamic and random passenger demand: A stochastic optimization method, Transportation Research Part C, Vol. 123, 102963, 2021.

[131] Shukai Li, Xi Wang, Lixing Yang, Tao Tang, Robust efficient cruise control for high-speed train movement based on the self-triggered mechanism, Transportation Research Part C, Vol. 128, 103141, 2021.

[132] Weiqiao Wang, Kai Yang, Lixing Yang, Ziyou Gao, Two-stage distributionally robust programming based on worst-case mean-CVaR criterion and application to disaster relief management, Transportation Research Part E, Vol. 149, 102332, 2021.

[133] Shukai Li, Ronghui Liu, Ziyou Gao, Lixing Yang, Integrated train dwell time regulation and train speed profile generation for automatic train operations on high-density metro lines: A distributed optimal control method, Transportation Research Part B, Vol. 148, 82-105, 2021. 

[134] Qianqian Ma, Shukai Li, Huiming Zhang, Yin Yuan, Lixing Yang, Robust optimal predictive control for real-time bus regulation strategy with passenger demand uncertainties in urban rapid transit, Transportation Research Part C, Vol. 127, 103086, 2021.

[135] Pengli Mo, Andrea D'Ariano, Lixing Yang, Lucas P. Veelenturf, Ziyou Gao, An exact method for the integrated optimization of subway lines operation strategies with asymmetric passenger demand and operating costs, Transportation Research Part B, Vol. 149, 283-321, 2021.

[136] Jiateng Yin, Andrea D'Ariano, Yihui Wang, LixingYang, TaoTang，Timetable coordination in a rail transit network with time-dependent passenger demand, European Journal of Operational Research, Vol. 295(1), 183-202, 2021.

[137] Hanchuan Pan, Zhigang Liu, Lixing Yang, Zhe Liang, Qiang Wu, Sijie Li, A column generation-based model for integrated vehicle and crew scheduling on metro lines with fully automatic operation, Transportation Research Part E, Vol. 152, 102406, 2021.

[138] Kai Yang, Yahan Lu, Lixing Yang, Ziyou Gao, Distributionally robust last-train coordination planning problem with dwell time adjustment strategy, Applied Mathematical Modelling, Vol. 91, 1154-1174, 2021.

[139] Jianguo Qi, Valentina Cacchiani, Lixing Yang, Chuntian Zhang, Zhen Di, An integer linear programming model for integrated train stop planning and timetabling with time-dependent passenger demand, Computers & Operations Research, Vol. 136, 105484, 2021.

[140] Chuntian Zhang, Jianguo Qi, Yuan Gao, Lixing Yang, Ziyou Gao, Fanting Meng, Integrated optimization of line planning and train timetabling in railway corridors with passengers' expected departure time interval, Computers & Industrial Engineering, Vol.162, 107680, 2021.

[141] Zebin Chen, Shukai Li, Andrea D'Ariano, Lixing Yang, Real-time optimization for train regulation and stop-skipping adjustment strategy of urban rail transit lines, Omega, Vol. 110, 102631, 2022.

[142] Zhen Di, Lixing Yang, Jungang Shi, Housheng Zhou, Kai Yang, Ziyou Gao, Joint optimization of carriage arrangement and flow control in a metro-based underground logistics system, Transportation Research Part B, Vol. 159, 1-23, 2022.

[143] Yuan Gao, Jun Xia, Andrea D'Ariano, Lixing Yang, Weekly rolling stock planning in Chinese high-speed rail networks, Transportation Research Part B, Vol. 158, 295-322, 2022.

[144] Duo Wang, Kai Yang, Lixing Yang, Risk-averse two-stage distributionally robust optimisation for logistics planning in disaster relief management, International Journal of Production Research, accepted.

[145] Yahan Lu, Lixing Yang, Kai Yang, Ziyou Gao, Housheng Zhou, Fanting Meng, Jianguo Qi, A distributionally robust optimization method for passenger flow control strategy and train scheduling on an urban rail transit line, Engineering, Vol. 12, 202-220, 2022.

[146] Jiawei Yuan, Yuan Gao, Shukai Li, Pei Liu, Lixing Yang, Integrated optimization of train timetable, rolling stock assignment and short-turning strategy for a metro line, European Journal of Operational Research, Vol. 301, No. 3, 855-874, 2022.

[147] Jungang Shi, Tan Qin, Lixing Yang, Xiaofang Xiao, Junhua Guo, Yong Shen, Housheng Zhou, Flexible train capacity allocation for an overcrowded metro line: A new passenger flow control approach, Transportation Research Part C, Vol. 140, 103676, 2022.

[148] Hanchuan Pan, Lixing Yang, Zhe Liang, Demand-oriented integration optimization of train timetabling and rolling stock circulation planning with flexible train compositions: A column-generation-based approach, European Journal of Operational Research, Vol. 305, 184-206, 2023.

[149] Yuting Hu, Shukai Li, Maged M. Dessouky, Lixing Yang, Ziyou Gao, Computationally efficient train timetable generation of metro networks with uncertain transfer walking time to reduce passenger waiting time: A generalized Benders decomposition-based method, Transportation Research Part B, Vol. 163, 210-231, 2022.

[150] Housheng Zhou, Jianguo Qi, Lixing Yang, Jungang Shi, Hanchuan Pan, Yuan Gao, Joint optimization of train timetabling and rolling stock circulation planning: A novel flexible train composition mode, Transportation Research Part B, Vol. 162, 352-385, 2022.

[151] Jinlei Zhang, Feng Chen, Lixing Yang, Wei Ma, Guangyin Jin, Ziyou Gao, Network-wide link travel time and station waiting time estimation using automatic fare collection data: A computational graph approach, IEEE Transactions on Intelligent Transportation Systems, Vol. 23(11), 21034 - 21049, 2022.

[152] Housheng Zhou, Jianguo Qi, Lixing Yang, Jungang Shi, Pengli Mo, Joint optimization of train scheduling and rolling stock circulation planning with passenger flow control on tidal overcrowded metro lines, Transportation Research Part C, Vol. 140, 103708, 2022. 

[153] Zhen Di, David Z.W. Wang, Lixing Yang, Optimal operation strategies for the bus-mode operation of intercity high-speed rail service: A novel ticketing/exchanging mechanism, IEEE Transactions on Intelligent Transportation Systems, Vol. 23(12), 23583-23596, 2022.

[154] Jiateng Yin, Lixing Yang, Andrea D'Ariano, Tao Tang, Ziyou Gao, Integrated backup rolling stock allocation and timetable rescheduling with uncertain time-variant passenger demand under disruptive events, INFORMS Journal on Computing, Vol. 34(6), 3234-3258, 2022.

[155] Yin Yuan, Shukai Li, Lixing Yang, Ziyou Gao, Real-time optimization of train regulation and passenger flow control for urban rail transit network under frequent disturbances, Transportation Research Part E, Vol. 168, 102942, 2022.

[156] Duo Wang, Kai Yang, Lixing Yang, Shukai Li, Distributional robustness and lateral transshipment for disaster relief logistics planning under demand ambiguity, International Transactions in Operational Research, https://doi.org/10.1111/itor.13227, 2022.

[157] Yongjie Yang, Jinlei Zhang, Lixing Yang, Yang Yang, Xiaohong Li, Ziyou Gao，Short-term passenger flow prediction for multi-traffic modes: A transformer and residual network based multi-task learning method, Information Sciences, Vol. 642, 119144, 2023.

[158] Weiqiao Wang, Kai Yang, Lixing Yang, Ziyou Gao, Distributionally robust chance-constrained programming for multi-period emergency resource allocation and vehicle routing in disaster response operations, Omega, Vol. 120, 102915, 2023.

[159] Yahan Lu, Lixing Yang, Hai Yang, Housheng Zhou, Ziyou Gao, Robust collaborative passenger flow control on a congested metro line: A joint optimization with train timetabling, Transportation Research Part B, Vol. 168, 27–55, 2023.

[160] Zebin Chen, Shukai Li, Lixing Yang, Hierarchical optimal control framework to automatic train regulation combined with energy-efficient speed trajectory calculation in metro lines, Transportation Research Part C, Vol. 149, 104059, 2023.

[161] Entai Wang, Lixing Yang, Peiheng Li, Chuntian Zhang, Ziyou Gao, Joint optimization of train scheduling and routing in a coupled multi-resolution space–time railway network, Transportation Research Part C, Vol. 147, 103994, 2023.

[162] Jungang Shi, Jing Yang, Lixing Yang, Lefeng Tao, Shengjie Qiang, Zhen Di, Junhua Guo, Safety-oriented train timetabling and stop planning with time-varying and elastic demand on overcrowded commuter metro lines, Transportation Research Part E, Vol. 175, 103136, 2023.

[163] Duo Wang, Kai Yang, Lixing Yang, Jianjun Dong, Two-stage distributionally robust optimization for disaster relief logistics under option contract and demand ambiguity, Transportation Research Part E, Vol. 170, 103025, 2023.

[164] Jiateng Yin, Miao Wang, Andrea D'Ariano, Jinlei Zhang, Lixing Yang, Synchronization of train timetables in an urban rail network: A bi-objective optimization approach, Transportation Research Part E, Vol. 174, 103142, 2023.

[165] Jinlei Zhang, Hua Li, Shuxin Zhang, Lixing Yang, Guangyin Jin, Jianguo Qi, A spatiotemporal graph generative adversarial networks for short-term passenger flow prediction in urban rail transit systems, International Journal of General Systems, DOI: 10.1080/03081079.2023.2203922, 2023.

[166] Shuxin Zhang, Jinlei Zhang, Lixing Yang, Jiateng Yin, Ziyou Gao, Spatiotemporal Attention Fusion Network for Short-Term Passenger Flow Prediction on New Year's Day Holiday in Urban Rail Transit System, IEEE Intelligent Transportation Systems Magazine, DOI: 10.1109/MITS.2023.3265808, 2023.

[167] Yuting Hu, Shukai Li, Yihui Wang, Huimin Zhang, Yun Wei, Lixing Yang, Robust metro train scheduling integrated with skip-stop pattern and passenger flow control strategy under uncertain passenger demands, Computers & Operations Research, Vol. 151, 106116, 2023.

发表的会议论文

[1] Xiaoyu Ji, Lixing Yang and Zheng Shao, Chance Constrained Maximum Flow Problem with Fuzzy Arc Capacities, Lecture Notes in Artificial Intelligence, LNAI.4114, 11-19, 2006. 

[2] Lixing Yang, Approximate equality of fuzzy numbers and its application to fuzzy linear programming, Proceedings of the fifth International Conference on Information and Management Sciences, Chengdu, China, July 1-8, 2006.

[3] Lixing Yang and Yuan Feng, On series of fuzzy random variable, Proceedings of the fifth International Conference on Information and Management Sciences, Chengdu, China, July 1-8, 2006.

[4] Lixing Yang and Baoding Liu, A Multi-Objective Fuzzy Assignment Problem: New Model and Algorithm, Proceedings of the FUZZIEEE 2005 Conference on Fuzzy Systems, Reno, America, May 22-25, 2005.

[5] Lixing Yang and Yanbin Sun, Expected Value Model for a Fuzzy Random Warehouse Layout Problem, Proceedings of the FUZZIEEE 2004 Conference on Fuzzy Systems, Budapest, Hungary, July 25-29, 2004.

[6] Lixing Yang, and Baoding Liu, Some Inequalities of Birandom Variable, Proceedings of the Third International Conference on Information and Management Sciences, Dunhuang, China, June 5-10, 2004.

[7] Lixing Yang, and Baoding Liu, Chance Distribution of Fuzzy Random Variable, Proceedings of the Fourth International Conference on Intelligent Technologies，Chiang Mai, Thailand，December 17-19, 2003.

[8] Lixing Yang, A Multi-Level Warehouse Layout Problem under Fuzzy Environment, Proceedings of the Second International Conference on Information and Management Sciences, Chengdu, China, August 24-30, 2003.

[9] Qiang Zhang , K.K.Lai and Lixing Yang, A Fuzzy Multiple Warehouse Layout Problem, Proceedings of the Second International Conference on Information, Beijing, China, July 24-27, 2002.

[10] Lixing Yang, complex fuzzy variable, Proceedings of the sixth International Conference on Information and Management Sciences, Lasa, China, July, 2007.

[11] Lixing Yang, Xiaoyu Ji, Some properties of expected value operators of fuzzy variables and fuzzy random variables, 2009 Sixth International Conference on Fuzzy Systems and Knowledge Discovery, Tianjin, China, 2009.

[12] Lixing Yang, Jinwu Gao, Characteristic Functions of Fuzzy Random Variables, 2010 Third International Joint Conference on Computational Science and Optimization, Anhui, China, 2010.

[13] Juan Wen, Hongyan Ma, Lixing Yang, On the Expected Value of B-Valued Random Fuzzy Variable, 2011 Eighth International Conference on Fuzzy Systems and Knowledge Discovery, Shanghai, China, 2011.

[14] Jianguo Qi, Lixing Yang, Yuan Gao, Shukai Li, Robust train timetabling problem with optimized train stop plan, 2015 12th International Conference on Fuzzy Systems and Knowledge Discovery, Zhangjiajie, China, 2015. 

        荣誉奖励：

突破传统“挖掘铁路运输潜力”
 

——记北京交通大学轨道交通控制与安全国家重点实验室教授杨立兴 

 2016-11-21  

作为国民经济支柱性产业之一的铁路运输业，在社会生产活动中占有极其重要的地位。它有着快速性、安全性、大批量、低运价和全天候的优势。近年来，随着铁路基础设施特别是高速铁路的不断兴建和完善，我国的铁路运输业有了快速发展，运输能力和服务水平有了较大提升。但由于我国人口众多，运输需求巨大，铁路运输还未能满足人们出行的需要，尤其是在春运、暑运、“十一”长假出行高峰时期，运力紧张现象仍然十分严重。

如何应对这一难题？在既有铁路资源的基础上，优化列车运行组织和控制，进一步挖掘铁路的运输潜力，便成了一个亟需解决的问题。正是在此背景下，杨立兴从轨道交通系统的若干科学问题着手，以理论建模和决策分析方法为工具，对轨道交通系统组织与控制问题中的一系列难点问题进行了深入研究，突破了传统理论的限制，部分解决了一些国际公认的难题。

在中学时代，杨立兴就对数学产生了浓厚的学习兴趣。4年大学生活培养了他良好的数学思维，也为今后的研究工作打下了坚实的数理基础。2002年，杨立兴考入清华大学数学科学系攻读博士学位，师从不确定理论的开创者刘宝碇教授。经过3年刻苦学习，2005年博士顺利毕业后，杨立兴进入北京交通大学。当时，恰逢学校正在筹建轨道交通控制与安全国家重点实验室，由于工作的需要，在团队负责人高自友教授的建议和指导下，杨立兴加入了研究团队，从此开始了在交通运输领域的研究生涯，针对轨道交通运输组织优化问题开展了一系列研究。

由于刚刚博士毕业，一直从事数学优化研究的杨立兴对于轨道交通领域的认识可以说完全处于空白状态。但这也激发了他继续充电的热情，阅读了大量文献，并提炼出该领域中亟待解决的关键科学问题。在高教授的指导下，经过半年的学习，杨立兴逐步掌握了该领域内的相关知识和研究现状。

在十余年的研究工作中，杨立兴不断创新思维，打破传统。在轨道交通列车运行组织优化方面，他突破了传统理论的限制，建立了新的列车运行组织优化模型及控制与组织一体化模型，提出了列车运行图优化设计相关理论与方法，列车运行组织与控制一体化方法，高效的适用于大规模复杂问题的数值计算方法，研究了复杂网络环境下列车运输服务设计问题，部分解决了一些国际公认的难题，取得了一系列原创性的基础研究成果。此外，他还提出了处理实际不确定因素的一系列模型框架，丰富和发展了已有轨道交通领域的研究成果。

近些年来，杨立兴先后主持了国家自然科学基金优秀青年科学基金项目/面上项目/青年科学基金项目,教育部新世纪优秀人才支持计划项目、国家重点实验室重点课题，参与科研项目40余项。现已发表/接收学术论文80余篇，其中SCI检索论文63篇（SCI一区论文14篇）。相关成果得到了多个相关领域来自30多个国家和地区的多位著名学者的正面引用和评价。2013年度，杨立兴以第一兼通讯作者发表在Omega上的文章入选“2012年中国百篇最具影响国际学术论文”，并被Elsevier出版社评为该杂志近5年来的“最高被引论文”之一。此外，杨立兴多次组织和参加各类国际国内学术会议，并受邀做大会报告和特邀报告20余次。2014年，杨立兴作为第二完成人的研究成果“列车运行组织优化理论与方法”荣获教育部自然科学一等奖。

人生在勤，不索何获。每一个骄人成绩的背后，都蕴含着付出者的辛勤汗水。突破传统理论限制，不断探索，不断挑战，相信杨立兴敢于突破，也敢于迎接更具挑战的明天！

来源：科学中国人 2016年11期创新之路