Dynamic network simplex method for designing emergency evacuation plans

Wei Shen*, Yu Nie, H. M. Zhang

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapter

35 Scopus citations

Abstract

The cell-based system optimal dynamic traffic assignment (SO-DTA) model has recently been applied to study emergency evacuation by a handful of authors. It is recognized that an optimal solution to this model may contain a phenomenon called traffic holding, which discharges flow at a lower rate than what can be achieved under the given traffic conditions. Mathematically, this is caused by the relaxation of traffic flow propagation constraints. In this paper, an optimal traffic pattern that contains no holding is always proved to exist in the context of evacuation planning. An optimal traffic pattern without holding is much easier and less costly to implement in emergency response. A dynamic network simplex method for solving the simplified SO-DTA model that represents traffic flow propagation by a point-queue model is proposed. By making full use of the network structure, the algorithm is able to identify an optimal solution without holding. For the original cell-based SO-DTA, an iterative procedure is suggested that can effectively eliminate holding in a solution obtained from a conventional linear programming algorithm.

Original languageEnglish (US)
Title of host publicationTransportation Security; Emergency Response and Recovery
Pages83-93
Number of pages11
Edition2022
DOIs
StatePublished - Dec 1 2007

Publication series

NameTransportation Research Record
Number2022
ISSN (Print)0361-1981

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Mechanical Engineering

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    Shen, W., Nie, Y., & Zhang, H. M. (2007). Dynamic network simplex method for designing emergency evacuation plans. In Transportation Security; Emergency Response and Recovery (2022 ed., pp. 83-93). (Transportation Research Record; No. 2022). https://doi.org/10.3141/2022-10