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A relative total cost index for the evaluation of transportation network robustness in the presence of degradable links and alternative travel behavior
Author(s) -
Nagurney Anna,
Qiang Qiang
Publication year - 2009
Publication title -
international transactions in operational research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.032
H-Index - 52
eISSN - 1475-3995
pISSN - 0969-6016
DOI - 10.1111/j.1475-3995.2009.00659.x
Subject(s) - robustness (evolution) , flow network , computer science , upper and lower bounds , mathematical optimization , operations research , travel time , total cost , public transport , transportation planning , transport engineering , mathematics , engineering , economics , biochemistry , chemistry , gene , mathematical analysis , microeconomics
In this paper, we demonstrate how to capture the robustness of a transportation network in the case of degradable links represented by decreasing capacities. In particular, with the use of Bureau of Public Roads user link travel cost functions, we propose two relative total cost indices to assess transportation network robustness in the case of travel behavior associated with either user optimization or system optimization. We derive upper bounds of the relative total cost index for transportation networks with special structure and congestion parameters under the user optimal flow pattern. We also derive an upper bound for the relative total cost index under the system optimal flow pattern for general transportation networks. Numerical examples are presented for illustration purposes. This research is the first to quantify transportation network robustness in the presence of degradable links and alternative travel behavior. This research has implications for transportation planning and management, for vulnerability analysis, as well as for security issues.