Solving Railway Track Allocation Problems
Author: Ralf Borndörfer
Publisher:
Published: 2007
Total Pages: 6
ISBN-13:
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Railway Track Allocation
Author: Thomas Schlechte
Publisher: Sudwestdeutscher Verlag Fur Hochschulschriften AG
Published: 2012-03
Total Pages: 248
ISBN-13: 9783838132228
DOWNLOAD EBOOKThis thesis is about mathematical optimization for the efficient use of railway infrastructure. We address the optimal allocation of the available railway track capacity - the track allocation problem. This track allocation problem is a major challenge for a railway company, independent of whether a free market, a private monopoly, or a public monopoly is given. Planning and operating railway transportation systems is extremely hard due to the combinatorial complexity of the underlying discrete optimization problems, the technical intricacies, and the immense sizes of the problem instances. Mathematical models and optimization techniques can result in huge gains for both railway customers and operators, e.g., in terms of cost reductions or service quality improvements. We tackle this challenge by developing novel mathematical models and associated innovative algorithmic solution methods for large scale instances. This allows us to produce for the first time reliable solutions for a real world instance, i.e., the Simplon corridor in Switzerland.
Models for Railway Track Allocation
Author: Ralf Borndörfer
Publisher:
Published: 2007
Total Pages: 16
ISBN-13:
DOWNLOAD EBOOKAbstract: "The optimal track allocation problem (OPTRA) is to find, in a given railway network, a conflict free set of train routes of maximum value. We study two types of integer programming formulations for this problem: a standard formulation that models block conflicts in terms of packing constraints, and a novel formulation of the 'extended' type that is based on additional 'configuration' variables. The packing constraints in the standard formulation stem from an interval graph and can therefore be separated in polynomial time. It follows that the LP-relaxation of a strong version of this model, including all clique inequalities from block conflicts, can be solved in polynomial time. We prove that the LP-relaxation of the extended formulation can also be solved in polynomial time, and that it produces the same LP-bound. Albeit the two formulations are in this sense equivalent, the extended formulation has advantages from a computational point of view. It features a constant number of rows and is amenable to standard column generation techniques. Results of an empirical model comparison on mesoscopic data for the Hanover-Fulda-Kassel region of the German long distance railway network involving up to 570 trains are reported."
Operations Research Proceedings 2007
Author: Jörg Kalcsics
Publisher: Springer Science & Business Media
Published: 2008-03-20
Total Pages: 494
ISBN-13: 3540779035
DOWNLOAD EBOOKThe symposium Operations Research 2007 was held from September 5-7, 2007 at the Saarland University in Saarbru ̈cken. This international conference is at the same time the annual meeting of the German - erations Research Society (GOR). The transition in Germany (and many other countries in Europe) from a production orientation to a service society combined with a continuous demographic change generated a need for intensi?ed Op- ations Research activities in this area. On that account this conference has been devoted to the role of Operations Research in the service industry. The links to Operations Research are manifold and include many di?erent topics which are particularly emphasized in scienti?c sections of OR 2007. More than 420 participants from 30 countries made this event very international and successful. The program consisted of three p- nary,elevensemi-plenaryandmorethan300contributedpresentations, which had been organized in 18 sections. During the conference, the GOR Dissertation and Diploma Prizes were awarded. We congratulate all winners, especially Professor Wolfgang Domschke from the Da- stadt University of Technology, on receiving the GOR Scienti?c Prize Award.
Towards optimal railway track utilization based on societal benefit
Author: Victoria Svedberg
Publisher: Linköping University Electronic Press
Published: 2018-10-12
Total Pages: 158
ISBN-13: 9176852350
DOWNLOAD EBOOKInfrastructure managers in railway systems are striving to have as e?cient track utilization as possible. There are no unanimous interpretation of e?ciency in terms of track utilization, but the aim of the Swedish Transport Administration is to allocate track capacity such that societal bene?t is maximized. This means that the tracks should be used by as much tra?c as possible and by tra?c that provides as much bene?t for the society as possible. To allocate track capacity such that the track utilization is optimal would be an easy task if the track capacity were not a scarce resource. Today, many train operators share railway network and there are cases when two or more operators want to use the same track capacity at the same time. The infrastructure manager must then make priorities and reject some operators, and the question is which operators to reject. The guiding principle is to grant the operators that provide the highest societal bene?t access to the tracks. However, the question would then change into how to know which operator that provides the highest societal bene?t. In this thesis, the societal bene?t of publicly subsidized tra?c is estimated using social cost-bene?t analysis. Mathematical models and methods are developed for quantifying and computing the number of departures for the publicly subsidized tra?c and their distribution in time, i.e. a train timetable, that provides the maximal societal bene?t in a social cost-bene?t analysis setting. The societal bene?t of commercial tra?c is estimated using the market value for their requested train timetables. The market value is set using dynamic pricing. A suggestion of a dynamic pricing process that can be used in the train timetabling process is described. Mathematical models and methods for calculating the supply and demand of a track access request are developed and tested, which enables the use of a dynamic pricing process on track capacity
Solving Network Design Problems via Decomposition, Aggregation and Approximation
Author: Andreas Bärmann
Publisher: Springer
Published: 2016-06-02
Total Pages: 206
ISBN-13: 3658139137
DOWNLOAD EBOOKAndreas Bärmann develops novel approaches for the solution of network design problems as they arise in various contexts of applied optimization. At the example of an optimal expansion of the German railway network until 2030, the author derives a tailor-made decomposition technique for multi-period network design problems. Next, he develops a general framework for the solution of network design problems via aggregation of the underlying graph structure. This approach is shown to save much computation time as compared to standard techniques. Finally, the author devises a modelling framework for the approximation of the robust counterpart under ellipsoidal uncertainty, an often-studied case in the literature. Each of these three approaches opens up a fascinating branch of research which promises a better theoretical understanding of the problem and an increasing range of solvable application settings at the same time.
Handbook of Optimization in the Railway Industry
Author: Ralf Borndörfer
Publisher: Springer
Published: 2018-03-01
Total Pages: 334
ISBN-13: 3319721534
DOWNLOAD EBOOKThis book promotes the use of mathematical optimization and operations research methods in rail transportation. The editors assembled thirteen contributions from leading scholars to present a unified voice, standardize terminology, and assess the state-of-the-art. There are three main clusters of articles, corresponding to the classical stages of the planning process: strategic, tactical, and operational. These three clusters are further subdivided into five parts which correspond to the main phases of the railway network planning process: network assessment, capacity planning, timetabling, resource planning, and operational planning. Individual chapters cover: Simulation Capacity Assessment Network Design Train Routing Robust Timetabling Event Scheduling Track Allocation Blocking Shunting Rolling Stock Crew Scheduling Dispatching Delay Propagation
Operations Research Proceedings 2013
Author: Dennis Huisman
Publisher: Springer
Published: 2014-07-10
Total Pages: 481
ISBN-13: 3319070010
DOWNLOAD EBOOKThis book contains a selection of refereed papers presented at the “International Conference on Operations Research (OR 2013)” which took place at Erasmus University Rotterdam September 3-6, 2013. The conference was jointly organized by the German and the Dutch OR Society. More than 800 scientists and students from over 50 countries attended OR 2013 and presented more than 600 papers in parallel topical streams, as well as special award sessions. The theme of the conference and its proceedings is "Impact on People, Business and Society".
Operations Research Proceedings 2016
Author: Andreas Fink
Publisher: Springer
Published: 2017-07-20
Total Pages: 606
ISBN-13: 3319557025
DOWNLOAD EBOOKThis book includes a selection of refereed papers presented at the "Annual International Conference of the German Operations Research Society (OR2016)," which took place at the Helmut-Schmidt-Universität / Universität der Bundeswehr Hamburg, Germany, Aug. 30 - Sept. 2, 2016. Over 700 practitioners and academics from mathematics, computer science, business/economics, and related fields attended the conference. The scientific program included around 475 presentations on the theme Analytical Decision Making, focusing on the process of researching complex decision problems and devising effective solution methods towards better decisions. The book presents papers discussing classical mathematical optimization, statistics and simulation techniques. Such approaches are complemented by computer science methods and tools for the processing of data and the design and implementation of information systems. The book also examines recent advances in information technology, which allow big data volumes to be treated and enable real-time predictive and prescriptive business analytics to drive decisions and actions. Further, it includes problems modeled and treated under consideration of uncertainty, risk management, behavioral issues, and strategic decision situations.
Proceedings of the 1st International Workshop on High-Speed and Intercity Railways
Author: Yi-Qing Ni
Publisher: Springer Science & Business Media
Published: 2012-02-13
Total Pages: 502
ISBN-13: 3642279635
DOWNLOAD EBOOKThis book contains the papers included in the proceedings of the 1st International Workshop on High-speed and Intercity Railways (IWHIR 2011) held in Shenzhen and Hong Kong, China from July 19 to July 22, 2011, which is organized by The Hong Kong Polytechnic University, in collaboration with Southwest Jiaotong University, Beijing Jiaotong University, Dalian Jiaotong University, China Engineering Consultants, Inc., Zhejiang University, and Tsinghua University. Continuing the great initiatives and momentums of the rapid development in high-speed and intercity railways worldwide in recent years, IWHIR 2011 aims at providing a platform for academic scholars and practicing engineers to share knowledge and experience, to promote collaboration, and to strengthen R&D activities related to railway engineering. Engineers, scientists, professors, and students from universities, research institutes, and related industrial companies have been cordially invited to participate in the workshop. These papers have covered a wide range of issues concerning high-speed and intercity railways in the theoretical, numerical, and experimental work pertaining to high-speed and intercity railways. Showcasing diversity and quality, these papers report the state-of-the-art and point to future directions of research and development in this exciting area.
