By Dr. Bin Ran, Dr. David Boyce (auth.)
This booklet seeks to summarize our fresh growth in dynamic trans portation community modeling. It concentrates on perfect dynamic community versions in response to real trip instances and their corresponding answer algorithms. against this, our first ebook DynamIc city Transportation community versions - The ory and Implications for clever Vehicle-Hzghway structures (Springer-Verlag, 1994) desirous about instant dynamic community versions. evaluating the 2 books, the foremost alterations may be summarized as follows: 1. This booklet makes use of the variational inequality challenge because the easy formula method and considers the optimum regulate challenge as a subproblem for answer reasons. the previous booklet used optimum keep an eye on conception because the uncomplicated formula process, which brought on serious difficulties in a few situations. 2. This publication makes a speciality of perfect dynamic community types according to real trip instances. the previous booklet desirous about on the spot dynamic community versions in keeping with presently winning go back and forth instances. three. This publication formulates a stochastic dynamic direction selection version which may make the most of any attainable course selection distribution functionality rather than merely the logit functionality. four. This publication reformulates the bilevel challenge of mixed departure time/ path selection as a one-level variational inequality. five. ultimately, a collection of difficulties is equipped for lecture room use. moreover, this e-book deals finished insights into the complexity and problem of making use of those dynamic community versions to clever Trans portation platforms (ITS). however, the versions during this textual content usually are not but absolutely evaluated and are topic to revision in line with destiny research.
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Additional resources for Modeling Dynamic Transportation Networks: An Intelligent Transportation System Oriented Approach
Example text
Thus, open-loop optimal control is not our major focus. 2. Continuous Optimal Control Problems 31 then the optimal control is an optimal feedback control. A typical example of feedback control is the classic servomechanism problem where actual and desired outputs are compared and any deviation produces a control signal that attempts to reduce the discrepancy to zero. In dynamic transportation network problems, there are many applications of such a control law. With the above basic definitions in mind, we begin our discussion of optimal control problems.
Trip generation, trip distribution, mode choice and traffic assignment) in transportation planning. What are the major difficulties and changes for each of the steps in a dynamic generalization of the procedure? Chapter 2 Variational Inequalities and Continuous Optimal Control Variational in~quality (VI) problems are being used extensively in formulating economic and engineering problems in new ways that lead to tractable solution algorithms. Applications in transportation engineering are relatively recent, beginning about 1980.
97) is caused by the nonnegativity constraint on the control variable. 91). 102) are restatements of the equality constraints. 105) are two-point boundary conditions. 38 Chapter 2. 3 Hierarchical Optimal Control Problems In this section, we discuss some bilevel optimal control problems. We first discuss the utilization of the leader-follower or Stackelberg strategy concept in structuring the control of interconnected systems. These control methods are appropriate for system problems where there are multiple criteria, multiple decision makers, decentralized information and natural hierarchy of decision making levels.
