## G-RIPS 2014 RailLab - Towards robust rolling stock rotations

Please always quote using this URN: urn:nbn:de:0297-zib-53475
• The Graduate-Level Research in Industrial Projects (G-RIPS) Program provides an opportunity for high-achieving graduate-level students to work in teams on a real-world research project proposed by a sponsor from industry or the public sector. Each G-RIPS team consists of four international students (two from the US and two from European universities), an academic mentor, and an industrial sponsor. This is the report of the Rail-Lab project on the definition and integration of robustness aspects into optimizing rolling stock schedules. In general, there is a trade-off for complex systems between robustness and efficiency. The ambitious goal was to explore this trade-off by implementing numerical simulations and developing analytic models. In rolling stock planning a very large set of industrial railway requirements, such as vehicle composition, maintenance constraints, infrastructure capacity, and regularity aspects, have to be considered in an integrated model. General hypergraphs provide the modeling power to tackle those requirements. Furthermore, integer programming approaches are able to produce high quality solutions for the deterministic problem. When stochastic time delays are considered, the mathematical programming problem is much more complex and presents additional challenges. Thus, we started with a basic variant of the deterministic case, i.e., we are only considering hypergraphs representing vehicle composition and regularity. We transfered solution approaches for robust optimization from the airline industry to the setting of railways and attained a reasonable measure of robustness. Finally, we present and discuss different methods to optimize this robustness measure.

Author: Charles Brett, Rebecca Hoberg, Meritxell Pacheco, Kyle Smith, Ralf BorndörferORCiD, Ricardo EulerORCiD, Gerwin Gamrath, Boris Grimm, Olga Heismann, Markus Reuther, Thomas Schlechte, Alexander TeschORCiD ZIB-Report robust optimization, rolling stock planning 90-XX OPERATIONS RESEARCH, MATHEMATICAL PROGRAMMING 2015/01/22 ZIB-Report (14-34) 1438-0064 ZIB-Report 14-34 Creative Commons - Namensnennung-Nicht kommerziell