Study on dynamic system optimum assignment to establish marginal time equilibrium

Tsubota, Takahiro & Kuwahara, Masao (2010) Study on dynamic system optimum assignment to establish marginal time equilibrium. In Tampere, Chris M.J., Viti, Francesco , & Immers, Lambertus H. (Eds.) New Developments in Transport Planning : Advances in Dynamic Transport Assignment. Edward Elgar Publishers, Cheltenham, Glos, pp. 231-248.

[img] Draft Version (PDF 277kB)
Administrators only | Request a copy from author

View at publisher


Several analytical methods for Dynamic System Optimum (DSO) assignment have been proposed but they are basically classified into two kinds. This chapter attempts to establish DSO by equilbrating the path dynamic marginal time (DMT). The authors analyze the path DMT for a single path with tandem bottlenecks and showed that the path DMT is not the simple summation of DMT associated with each bottleneck along the path. Next, the authors examined the DMT of several paths passing through a common bottleneck. It is shown that the externality at the bottleneck is shared by the paths in proportion to their demand from the current time until the queue vanishes. This share of the externality is caused by the departure rate shift under first in first out (FIFO) and the externality propagates to the downstream bottlenecks. However, the externalities propagates to the downstream are calculated out if downstream bottlenecks exist. Therefore, the authors concluded that the path DMT can be evaluated without considering the propagation of the externalities, but just as in the evaluation of the path DMT for a single path passing through a series of bottlenecks between the origin and destination. Based on the DMT analysis, the authors finally proposed a heuristic solution algorithm and verified it by comparing the numerical solution with the analytical one.

Impact and interest:

0 citations in Scopus
Search Google Scholar™

Citation counts are sourced monthly from Scopus and Web of Science® citation databases.

These databases contain citations from different subsets of available publications and different time periods and thus the citation count from each is usually different. Some works are not in either database and no count is displayed. Scopus includes citations from articles published in 1996 onwards, and Web of Science® generally from 1980 onwards.

Citations counts from the Google Scholar™ indexing service can be viewed at the linked Google Scholar™ search.

ID Code: 70976
Item Type: Book Chapter
Keywords: Dynamic System Optimum, Dynamic Marginal Cost, Dynamic Traffic Assignment, Equilibrium, Queuing Theory
ISBN: 9781848449633
Divisions: Current > Research Centres > Smart Transport Research Centre
Copyright Owner: Copyright 2010 Edward Elgar
Deposited On: 05 May 2014 04:39
Last Modified: 26 Oct 2015 16:13

Export: EndNote | Dublin Core | BibTeX

Repository Staff Only: item control page