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Optimization and Control of Stochastic Dynamic Transportation Systems

2000 Network analysis (Planning)
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Release : 2000
Genre : Network analysis (Planning)
Kind : eBook
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Book Synopsis Optimization and Control of Stochastic Dynamic Transportation Systems by : Steven Travis Waller

Download or read book Optimization and Control of Stochastic Dynamic Transportation Systems written by Steven Travis Waller. This book was released on 2000. Available in PDF, EPUB and Kindle. Book excerpt: This thesis employs traditional and new approaches to analyze properties of transportation systems under uncertainty and their effect on the various stages to transportation management; i.e., strategic, tactical, operational and real-time. Numerous pertinent problems are presented or extended to account for dynamics and uncertainty such as the network design problem, dynamic traffic assignment, centralized guidance, and the online shortest path problem. Analytical formulations are developed to describe system properties, and solution algorithms are presented to model transport systems under the stated conditions and, ultimately, to improve the performance of the transportation network.

Modeling Dynamic Transportation Networks

2012-12-06 Business & Economics
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Release : 2012-12-06
Genre : Business & Economics
Kind : eBook
Book Rating : 303/5 ( reviews)

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Book Synopsis Modeling Dynamic Transportation Networks by : Bin Ran

Download or read book Modeling Dynamic Transportation Networks written by Bin Ran. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: This book seeks to summarize our recent progress in dynamic trans portation network modeling. It concentrates on ideal dynamic network models based on actual travel times and their corresponding solution algorithms. In contrast, our first book DynamIc Urban Transportation Network Models - The ory and Implications for Intelligent Vehicle-Hzghway Systems (Springer-Verlag, 1994) focused on instantaneous dynamic network models. Comparing the two books, the major differences can be summarized as follows: 1. This book uses the variational inequality problem as the basic formulation approach and considers the optimal control problem as a subproblem for solution purposes. The former book used optimal control theory as the basic formulation approach, which caused critical problems in some circumstances. 2. This book focuses on ideal dynamic network models based on actual travel times. The former book focused on instantaneous dynamic network models based on currently prevailing travel times. 3. This book formulates a stochastic dynamic route choice model which can utilize any possible route choice distribution function instead of only the logit function. 4. This book reformulates the bilevel problem of combined departure time/ route choice as a one-level variational inequality. 5. Finally, a set of problems is provided for classroom use. In addition, this book offers comprehensive insights into the complexity and challenge of applying these dynamic network models to Intelligent Trans portation Systems (ITS). Nevertheless, the models in this text are not yet fully evaluated and are subject to revision based on future research.

Planning and Control of Transportation Systems

2000 Optimization processes (Mathematics)
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Release : 2000
Genre : Optimization processes (Mathematics)
Kind : eBook
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Book Synopsis Planning and Control of Transportation Systems by : Cynthia Barnhart

Download or read book Planning and Control of Transportation Systems written by Cynthia Barnhart. This book was released on 2000. Available in PDF, EPUB and Kindle. Book excerpt:

Hybrid Predictive Control for Dynamic Transport Problems

2012-10-04 Technology & Engineering
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Release : 2012-10-04
Genre : Technology & Engineering
Kind : eBook
Book Rating : 507/5 ( reviews)

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Book Synopsis Hybrid Predictive Control for Dynamic Transport Problems by : Alfredo Nunez

Download or read book Hybrid Predictive Control for Dynamic Transport Problems written by Alfredo Nunez. This book was released on 2012-10-04. Available in PDF, EPUB and Kindle. Book excerpt: Hybrid Predictive Control for Dynamic Transport Problems develops methods for the design of predictive control strategies for nonlinear-dynamic hybrid discrete-/continuous-variable systems. The methodology is designed for real-time applications, particularly the study of dynamic transport systems. Operational and service policies are considered, as well as cost reduction. The control structure is based on a sound definition of the key variables and their evolution. A flexible objective function able to capture the predictive behaviour of the system variables is described. Coupled with efficient algorithms, mainly drawn from area of computational intelligence, this is shown to optimize performance indices for real-time applications. The framework of the proposed predictive control methodology is generic and, being able to solve nonlinear mixed integer optimization problems dynamically, is readily extendable to other industrial processes. The main topics of this book are: · hybrid predictive control (HPC) design based on evolutionary multiobjective optimization (EMO); · HPC based on EMO for dial-a-ride systems; and · HPC based on EMO for operational decisions in public transport systems. Hybrid Predictive Control for Dynamic Transport Problems is a comprehensive analysis of HPC and its application to dynamic transport systems. Introductory material on evolutionary algorithms is presented in summary in an appendix. The text will be of interest to control and transport engineers working on the operational optimization of transport systems and to academic researchers working with hybrid systems. The potential applications of the generic methods presented here to other process fields will make the book of interest to a wider group of researchers, scientists and graduate students working in other control-related disciplines.

An Introduction to Optimal Control Theory

2023-02-21 Mathematics
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Release : 2023-02-21
Genre : Mathematics
Kind : eBook
Book Rating : 391/5 ( reviews)

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Book Synopsis An Introduction to Optimal Control Theory by : Onésimo Hernández-Lerma

Download or read book An Introduction to Optimal Control Theory written by Onésimo Hernández-Lerma. This book was released on 2023-02-21. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces optimal control problems for large families of deterministic and stochastic systems with discrete or continuous time parameter. These families include most of the systems studied in many disciplines, including Economics, Engineering, Operations Research, and Management Science, among many others. The main objective is to give a concise, systematic, and reasonably self contained presentation of some key topics in optimal control theory. To this end, most of the analyses are based on the dynamic programming (DP) technique. This technique is applicable to almost all control problems that appear in theory and applications. They include, for instance, finite and infinite horizon control problems in which the underlying dynamic system follows either a deterministic or stochastic difference or differential equation. In the infinite horizon case, it also uses DP to study undiscounted problems, such as the ergodic or long-run average cost. After a general introduction to control problems, the book covers the topic dividing into four parts with different dynamical systems: control of discrete-time deterministic systems, discrete-time stochastic systems, ordinary differential equations, and finally a general continuous-time MCP with applications for stochastic differential equations. The first and second part should be accessible to undergraduate students with some knowledge of elementary calculus, linear algebra, and some concepts from probability theory (random variables, expectations, and so forth). Whereas the third and fourth part would be appropriate for advanced undergraduates or graduate students who have a working knowledge of mathematical analysis (derivatives, integrals, ...) and stochastic processes.

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