Complementarity: Applications, Algorithms and Extensions

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Publisher : Springer Science & Business Media
ISBN 13 : 1475732791
Total Pages : 400 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Complementarity: Applications, Algorithms and Extensions by : Michael C. Ferris

Download or read book Complementarity: Applications, Algorithms and Extensions written by Michael C. Ferris and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents state-of-the-art complementarity applications, algorithms, extensions and theory in the form of eighteen papers. These at the International Conference on Com invited papers were presented plementarity 99 (ICCP99) held in Madison, Wisconsin during June 9-12, 1999 with support from the National Science Foundation under Grant DMS-9970102. Complementarity is becoming more widely used in a variety of appli cation areas. In this volume, there are papers studying the impact of complementarity in such diverse fields as deregulation of electricity mar kets, engineering mechanics, optimal control and asset pricing. Further more, application of complementarity and optimization ideas to related problems in the burgeoning fields of machine learning and data mining are also covered in a series of three articles. In order to effectively process the complementarity problems that arise in such applications, various algorithmic, theoretical and computational extensions are covered in this volume. Nonsmooth analysis has an im portant role to play in this area as can be seen from articles using these tools to develop Newton and path following methods for constrained nonlinear systems and complementarity problems. Convergence issues are covered in the context of active set methods, global algorithms for pseudomonotone variational inequalities, successive convex relaxation and proximal point algorithms. Theoretical contributions to the connectedness of solution sets and constraint qualifications in the growing area of mathematical programs with equilibrium constraints are also presented. A relaxation approach is given for solving such problems. Finally, computational issues related to preprocessing mixed complementarity problems are addressed.

Finite-Dimensional Variational Inequalities and Complementarity Problems

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Publisher : Springer Science & Business Media
ISBN 13 : 0387218157
Total Pages : 698 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Finite-Dimensional Variational Inequalities and Complementarity Problems by : Francisco Facchinei

Download or read book Finite-Dimensional Variational Inequalities and Complementarity Problems written by Francisco Facchinei and published by Springer Science & Business Media. This book was released on 2007-06-04 with total page 698 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is part two of a two-volume work presenting a comprehensive treatment of the finite-dimensional variational inequality and complementarity problem. It details algorithms for solving finite dimensional variational inequalities and complementarity problems. Coverage includes abundant exercises as well as an extensive bibliography. The book will be an enduring reference on the subject and provide the foundation for its sustained growth.

Variational Analysis and Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 0387242767
Total Pages : 1163 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Variational Analysis and Applications by : Franco Giannessi

Download or read book Variational Analysis and Applications written by Franco Giannessi and published by Springer Science & Business Media. This book was released on 2007-03-06 with total page 1163 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Volume contains the (refereed) papers presented at the 38th Conference of the School of Mathematics "G.Stampacchia" of the "E.Majorana" Centre for Scientific Culture of Erice (Sicily), held in Memory ofG. Stampacchia and J.-L. Lions in the period June 20 - July 2003. The presence of participants from Countries has greatly contributed to the success of the meeting. The School of Mathematics was dedicated to Stampacchia, not only for his great mathematical achievements, but also because He founded it. The core of the Conference has been the various features of the Variational Analysis and their motivations and applications to concrete problems. Variational Analysis encompasses a large area of modem Mathematics, such as the classical Calculus of Variations, the theories of perturbation, approximation, subgradient, subderivates, set convergence and Variational Inequalities, and all these topics have been deeply and intensely dealt during the Conference. In particular, Variational Inequalities, which have been initiated by Stampacchia, inspired by Signorini Problem and the related work of G. Fichera, have offered a very great possibility of applications to several fundamental problems of Mathematical Physics, Engineering, Statistics and Economics. The pioneer work of Stampacchia and Lions can be considered as the basic kernel around which Variational Analysis is going to be outlined and constructed. The Conference has dealt with both finite and infinite dimensional analysis, showing that to carry on these two aspects disjointly is unsuitable for both.

Algorithms and Interfaces for Structured Variational Inequalities and Their Extensions

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (12 download)

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Book Synopsis Algorithms and Interfaces for Structured Variational Inequalities and Their Extensions by : Youngdae Kim

Download or read book Algorithms and Interfaces for Structured Variational Inequalities and Their Extensions written by Youngdae Kim and published by . This book was released on 2017 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Variational inequalities (VIs) are a generalization of nonlinear system of equations, so-called generalized equations. In addition to the system of equations, they subsume geometric first-order optimality conditions, nonlinear (linear) complementarity problems, and mixed complementarity problems. Representative applications are equilibrium problems such as generalized Nash equilibrium problems (GNEPs) and multiple optimization problems with equilibrium constraints (MOPECs). This thesis is concerned with algorithms and interfaces for structured variational inequalities and their extensions. Algorithms and interfaces are closely related to each other in a way that interfaces helping identify problem structures can lead to more robust and efficient algorithms, and structure-exploiting algorithms can guide us to design better structure-exposing interfaces. Interfaces exposing problem structures are described based on an extended mathematical programming (EMP) framework, where the framework allows us to formulate equilibrium problems in a natural and intuitive way in modeling languages, for example AMPL, GAMS, or Julia, without requiring the modeler to supply derivatives. Extensions to support some complicated structures such as shared constraints, shared variables, and quasi-variational inequalities (QVIs) are presented. Our interfaces generate a human-readable file from which we can easily identify high-level structure of the problem. We present an extension to PATH and two general-purpose solvers, PATHAVI and SELKIE, each of which utilizes problem structures, such as implicitly defined variables, polyhedral constraints, and groups of interacting agents, respectively. These structures are identified through our interfaces. An extension to PATH exploits implicitly defined variables by restoring their feasibility via projection using the implicit function theorem. Projection is performed in both their primal and dual spaces. PATHAVI is a structure-preserving solver for affine variational inequalities such that it follows a piecewise-linear (PL) path on a PL-manifold constructed using given polyhedral constraints without applying any reduction. This is a key contrast to the existing solver PATH which is oblivious of those constraints except for preprocessing purposes and a QR decomposition-based method that performs a reduction, thus destroying the structure, if there is nontrivial lineality space. SELKIE is a solver for equilibrium problems which enables various decomposition schemes based on groups of agents information to be instantiated in a flexible and adaptable way. Parallelism can be achieved either whenever independent groups of agents are detected or per user's request. A sub-solver for each sub-model can be chosen so that a highly efficient solver can be employed tailored to a certain problem type. Examples illustrating the efficiency and effectiveness of our extension and solvers are given. All our interfaces and solvers have been implemented and are available within GAMS/EMP.

The Theory and Applications of Iteration Methods

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Publisher : CRC Press
ISBN 13 : 1000536750
Total Pages : 471 pages
Book Rating : 4.0/5 (5 download)

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Book Synopsis The Theory and Applications of Iteration Methods by : Ioannis K. Argyros

Download or read book The Theory and Applications of Iteration Methods written by Ioannis K. Argyros and published by CRC Press. This book was released on 2022-01-20 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory and applications of Iteration Methods is a very fast-developing field of numerical analysis and computer methods. The second edition is completely updated and continues to present the state-of-the-art contemporary theory of iteration methods with practical applications, exercises, case studies, and examples of where and how they can be used. The Theory and Applications of Iteration Methods, Second Edition includes newly developed iteration methods taking advantage of the most recent technology (computers, robots, machines). It extends the applicability of well-established methods by increasing the convergence domain and offers sharper error tolerance. New proofs and ideas for handling convergence are introduced along with a new variety of story problems picked from diverse disciplines. This new edition is for researchers, practitioners, and students in engineering, economics, and computational sciences.

Linear Complementarity, Linear and Nonlinear Programming

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Publisher :
ISBN 13 :
Total Pages : 708 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Linear Complementarity, Linear and Nonlinear Programming by : Katta G. Murty

Download or read book Linear Complementarity, Linear and Nonlinear Programming written by Katta G. Murty and published by . This book was released on 1988 with total page 708 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computational Methods and Mathematical Modeling in Cyberphysics and Engineering Applications 1

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Publisher : John Wiley & Sons
ISBN 13 : 1394284330
Total Pages : 452 pages
Book Rating : 4.3/5 (942 download)

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Book Synopsis Computational Methods and Mathematical Modeling in Cyberphysics and Engineering Applications 1 by : Dmitri Koroliouk

Download or read book Computational Methods and Mathematical Modeling in Cyberphysics and Engineering Applications 1 written by Dmitri Koroliouk and published by John Wiley & Sons. This book was released on 2024-04-16 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical methods in engineering are characterized by a wide range of techniques for approaching various problems. Moreover, completely different analysis techniques can be applied to the same problem, which is justified by the difference in specific applications. Therefore, the study of the analyses and solutions of specific problems leads the researcher to generate their own techniques for the analysis of similar problems continuously arising in the process of technical development. Computational Methods and Mathematical Modeling in Cyberphysics and Engineering Applications contains solutions to specific problems in current areas of computational engineering and cyberphysics.

Computing and Intelligent Systems

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Publisher : Springer
ISBN 13 : 3642240917
Total Pages : 549 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Computing and Intelligent Systems by : Yanwen Wu

Download or read book Computing and Intelligent Systems written by Yanwen Wu and published by Springer. This book was released on 2011-08-30 with total page 549 pages. Available in PDF, EPUB and Kindle. Book excerpt: This six-volume-set (CCIS 231, 232, 233, 234, 235, 236) constitutes the refereed proceedings of the International Conference on Computing, Information and Control, ICCIC 2011, held in Wuhan, China, in September 2011. The papers are organized in two volumes on Innovative Computing and Information (CCIS 231 and 232), two volumes on Computing and Intelligent Systems (CCIS 233 and 234), and in two volumes on Information and Management Engineering (CCIS 235 and 236).

Semismooth Newton Methods for Variational Inequalities and Constrained Optimization Problems in Function Spaces

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Publisher : SIAM
ISBN 13 : 9781611970692
Total Pages : 322 pages
Book Rating : 4.9/5 (76 download)

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Book Synopsis Semismooth Newton Methods for Variational Inequalities and Constrained Optimization Problems in Function Spaces by : Michael Ulbrich

Download or read book Semismooth Newton Methods for Variational Inequalities and Constrained Optimization Problems in Function Spaces written by Michael Ulbrich and published by SIAM. This book was released on 2011-01-01 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Semismooth Newton methods are a modern class of remarkably powerful and versatile algorithms for solving constrained optimization problems with partial differential equations (PDEs), variational inequalities, and related problems. This book provides a comprehensive presentation of these methods in function spaces, striking a balance between thoroughly developed theory and numerical applications. Although largely self-contained, the book also covers recent developments in the field, such as state-constrained problems, and offers new material on topics such as improved mesh independence results. The theory and methods are applied to a range of practically important problems, including: optimal control of nonlinear elliptic differential equations, obstacle problems, and flow control of instationary Navier-Stokes fluids. In addition, the author covers adjoint-based derivative computation and the efficient solution of Newton systems by multigrid and preconditioned iterative methods.

The Mountain Pass Theorem

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Publisher : Cambridge University Press
ISBN 13 : 9781139440813
Total Pages : 390 pages
Book Rating : 4.4/5 (48 download)

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Book Synopsis The Mountain Pass Theorem by : Youssef Jabri

Download or read book The Mountain Pass Theorem written by Youssef Jabri and published by Cambridge University Press. This book was released on 2003-09-15 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 2003 book presents min-max methods through a study of the different faces of the celebrated Mountain Pass Theorem (MPT) of Ambrosetti and Rabinowitz. The reader is led from the most accessible results to the forefront of the theory, and at each step in this walk between the hills, the author presents the extensions and variants of the MPT in a complete and unified way. Coverage includes standard topics, but it also covers other topics covered nowhere else in book form: the non-smooth MPT; the geometrically constrained MPT; numerical approaches to the MPT; and even more exotic variants. Each chapter has a section with supplementary comments and bibliographical notes, and there is a rich bibliography and a detailed index to aid the reader. The book is suitable for researchers and graduate students. Nevertheless, the style and the choice of the material make it accessible to all newcomers to the field.

Post-Quantum Cryptography

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Publisher : Springer Nature
ISBN 13 : 3030442233
Total Pages : 562 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Post-Quantum Cryptography by : Jintai Ding

Download or read book Post-Quantum Cryptography written by Jintai Ding and published by Springer Nature. This book was released on 2020-04-10 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the proceedings of the 11th International Conference on post-quantum cryptography, PQCrypto 2020, held in Paris, France in April 2020. The 29 full papers presented in this volume were carefully reviewed and selected from 86 submissions. They cover a broad spectrum of research within the conference's scope, including code-, hash-, isogeny-, and lattice-based cryptography, multivariate cryptography, and quantum cryptanalysis.

Uncertainty Quantification in Variational Inequalities

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Publisher : CRC Press
ISBN 13 : 1351857665
Total Pages : 334 pages
Book Rating : 4.3/5 (518 download)

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Book Synopsis Uncertainty Quantification in Variational Inequalities by : Joachim Gwinner

Download or read book Uncertainty Quantification in Variational Inequalities written by Joachim Gwinner and published by CRC Press. This book was released on 2021-12-21 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: Uncertainty Quantification (UQ) is an emerging and extremely active research discipline which aims to quantitatively treat any uncertainty in applied models. The primary objective of Uncertainty Quantification in Variational Inequalities: Theory, Numerics, and Applications is to present a comprehensive treatment of UQ in variational inequalities and some of its generalizations emerging from various network, economic, and engineering models. Some of the developed techniques also apply to machine learning, neural networks, and related fields. Features First book on UQ in variational inequalities emerging from various network, economic, and engineering models Completely self-contained and lucid in style Aimed for a diverse audience including applied mathematicians, engineers, economists, and professionals from academia Includes the most recent developments on the subject which so far have only been available in the research literature

Friction and Instabilities

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Publisher : Springer
ISBN 13 : 3709125340
Total Pages : 297 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Friction and Instabilities by : J.A.C. Martinis

Download or read book Friction and Instabilities written by J.A.C. Martinis and published by Springer. This book was released on 2014-05-04 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book addresses instability and bifurcation phenomena in frictional contact problems. The treatment of this subject has its roots in previous studies of instability and bifurcation in elastic, thermoelastic or elastic-plastic bodies, and in previous mathematical, mechanical and computational studies of unilateral problems. The salient feature of this book is to put together and develop concepts and tools for stability and bifurcation studies in mechanics, taking into account the inherent non-smoothness and non-associativity (non-symmetry) of unilateral frictional contact laws. The mechanical foundations, the mathematical theory and the computational algorithms for such studies are developed along six chapters written by the lecturers of a CISM course. Those concepts and tools are illustrated not only with enlightening academic examples but also with some demanding industrial applications, related, namely, to the automotive industry.

Stable Parametric Programming

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Publisher : Springer Science & Business Media
ISBN 13 : 9780792371397
Total Pages : 378 pages
Book Rating : 4.3/5 (713 download)

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Book Synopsis Stable Parametric Programming by : S. Zlobec

Download or read book Stable Parametric Programming written by S. Zlobec and published by Springer Science & Business Media. This book was released on 2001-08-31 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimality and stability are two important notions in applied mathematics. This book is a study of these notions and their relationship in linear and convex parametric programming models. It begins with a survey of basic optimality conditions in nonlinear programming. Then new results in convex programming, using LFS functions, for single-objective, multi-objective, differentiable and non-smooth programs are introduced. Parametric programming models are studied using basic tools of point-to-set topology. Stability of the models is introduced, essentially, as continuity of the feasible set of decision variables under continuous perturbations of the parameters. Perturbations that preserve this continuity are regions of stability. It is shown how these regions can be identified. The main results on stability are characterizations of locally and globally optimal parameters for stable and also for unstable perturbations. The results are straightened for linear models and bi-level programs. Some of the results are extended to abstract spaces after considering parameters as `controls'. Illustrations from diverse fields, such as data envelopment analysis, management, von Stackelberg games of market economy, and navigation problems are given and several case studies are solved by finding optimal parameters. The book has been written in an analytic spirit. Many results appear here for the first time in book form. Audience: The book is written at the level of a first-year graduate course in optimization for students with varied backgrounds interested in modeling of real-life problems. It is expected that the reader has been exposed to a prior elementary course in optimization, such as linear or non-linear programming. The last section of the book requires some knowledge of functional analysis.

Handbook of Power Systems II

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Publisher : Springer Science & Business Media
ISBN 13 : 3642126863
Total Pages : 504 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Handbook of Power Systems II by : Steffen Rebennack

Download or read book Handbook of Power Systems II written by Steffen Rebennack and published by Springer Science & Business Media. This book was released on 2010-08-26 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: Energy is one of the world`s most challenging problems, and power systems are an important aspect of energy related issues. This handbook contains state-of-the-art contributions on power systems modeling and optimization. The book is separated into two volumes with six sections, which cover the most important areas of energy systems. The first volume covers the topics operations planning and expansion planning while the second volume focuses on transmission and distribution modeling, forecasting in energy, energy auctions and markets, as well as risk management. The contributions are authored by recognized specialists in their fields and consist in either state-of-the-art reviews or examinations of state-of-the-art developments. The articles are not purely theoretical, but instead also discuss specific applications in power systems.

Intelligent Control Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 0306480816
Total Pages : 312 pages
Book Rating : 4.3/5 (64 download)

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Book Synopsis Intelligent Control Systems by : Gábor Szederkényi

Download or read book Intelligent Control Systems written by Gábor Szederkényi and published by Springer Science & Business Media. This book was released on 2006-04-18 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intelligent control is a rapidly developing, complex and challenging field with great practical importance and potential. Because of the rapidly developing and interdisciplinary nature of the subject, there are only a few edited volumes consisting of research papers on intelligent control systems but little is known and published about the fundamentals and the general know-how in designing, implementing and operating intelligent control systems. Intelligent control system emerged from artificial intelligence and computer controlled systems as an interdisciplinary field. Therefore the book summarizes the fundamentals of knowledge representation, reasoning, expert systems and real-time control systems and then discusses the design, implementation verification and operation of real-time expert systems using G2 as an example. Special tools and techniques applied in intelligent control are also described including qualitative modelling, Petri nets and fuzzy controllers. The material is illlustrated with simple examples taken from the field of intelligent process control.

Transportation Planning

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Publisher : Springer Science & Business Media
ISBN 13 : 0306482207
Total Pages : 253 pages
Book Rating : 4.3/5 (64 download)

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Book Synopsis Transportation Planning by : Michael Patriksson

Download or read book Transportation Planning written by Michael Patriksson and published by Springer Science & Business Media. This book was released on 2006-04-18 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects selected presentations of the Meeting of the EURO Working Group on Transportation, which took place at the Department of Ma- ematics at Chalmers University of Technology, Göteborg (or, Gothenburg), Sweden, September 9–11, 1998. [The EURO Working Group on Transpor- tion was founded at the end of the 7th EURO Summer Institute on Urban Traffic Management, which took place in Cetraro, Italy, June 21–July, 1991. There were around 30 founding members of the Working Group, a number which now has grown to around 150. Meetings since then include Paris (1993), Barcelona (1994), and Newcastle (1996). ] About 100 participants were present, enjoying healthy rain and a memorable conference dinner in the Feskekôrka. The total number of presentations at the conference was about 60, coming from quite diverse areas within the field of operations research in transportation, and covering all modes of transport: Deterministic traffic equilibrium models (6 papers) Stochastic traffic equilibrium models (5 papers) Combined traffic models (3 papers) Dynamic traffic models (7 papers) Simulation models (4 papers) Origin–destination matrix estimation (2 papers) Urban public transport models (8 papers) Aircraft scheduling (1 paper) Ship routing (2 papers) Railway planning and scheduling (6 papers) Vehicle routing (3 papers) Traffic management (3 papers) Signal control models (3 papers) Transportation systems analysis (5 papers) ix x TRANSPORTATION PLANNING Among these papers, 14 were eventually selected to be included in this volume.