2009
DOI: 10.1007/978-0-387-75857-2
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Transportation Systems Analysis

Abstract: Aims and ScopeOptimization has been expanding in all directions at an astonishing rate during the last few decades. New algorithmic and theoretical techniques have been developed, the diffusion into other disciplines has proceeded at a rapid pace, and our knowledge of all aspects of the field has grown even more profound. At the same time, one of the most striking trends in optimization is the constantly increasing emphasis on the interdisciplinary nature of the field. Optimization has been a basic tool in all… Show more

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Cited by 464 publications
(319 citation statements)
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“…This model has as input data the output from service and travel demand simulation models. Details on this kind of model, indicated in the literature as cost functions, can be found in [34] and [35]. The TDSM can be formulated as:…”
Section: Simulating Interaction Among Rail System Componentsmentioning
confidence: 99%
“…This model has as input data the output from service and travel demand simulation models. Details on this kind of model, indicated in the literature as cost functions, can be found in [34] and [35]. The TDSM can be formulated as:…”
Section: Simulating Interaction Among Rail System Componentsmentioning
confidence: 99%
“…Following [14], it is possible to prove the existence of the network equilibrium because all the maps and functions, defined over the nonempty, compact, and convex set of arc flows, are (upper semi) continuous. Conversely, it is not possible to prove mathematically the uniqueness of the equilibrium because the problem does not have separable APFs (as in [32]), but the generalised travel cost for queuing arcs depends on the link flow on the queuing arc considered, as well as on adjacent dwelling arcs (equations (5) - (7)).…”
Section: Formulation Of the Dynamic User Equilibrium As A Fixed-pointmentioning
confidence: 99%
“…Finally the APF and congestion parameters are updated for every edge according to equations (1) - (11). (7,9) and (8,10), and similarly the two route sections connecting Stop 3 and Stop 4 are represented by distinct line arcs (11,14) and (12,15).…”
Section: Model Implementation and Numerical Examplesmentioning
confidence: 99%
“…A transportation system is a set of elements interconnected by complex relationships, such as supply sub-system, demand sub-system, residences and activities sub-system; whenever an action is planned on a part of a transportation system, there are unavoidable impacts on other parts, positive or negative. Improvement within the supply sub-system, such as the introduction of a new road infrastructure, of faster/cheaper services, more comfortable vehicles, or in any case actions that increase the utility and/or the satisfaction of the customer about the possibility of moving, create a new share in travel demand [3,4]. Any intervention on a given transport link, producing a mode shift, determines a number of trips which can be split in two parts:  A diverted demand, that is the number of trips previously carried out by other transport modes, by other route with the same transport mode, or by other services in the same route;  An induced demand, that is a number of shifts previously not existed and generated directly by the intervention performed [5].…”
Section: Induced Demand: An Overviewmentioning
confidence: 99%