A Relative Total Cost Index for the Evaluation of Transportation Network Robustness in the Presence of Degradable Links and Alternative Travel Behavior

International Transactions in Operational Research

25 Pages Posted: 25 Apr 2008 Last revised: 5 Sep 2008

See all articles by Anna Nagurney

Anna Nagurney

University of Massachusetts Amherst - Isenberg School of Management - Department of Operations and Information Management

Qiang Qiang

Pennsylvania State University - Great Valley School of Graduate Professional Studies

Date Written: April 1, 2008

Abstract

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 Road 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 implication for transportation planning and management, for vulnerability analysis, as well as for security issues.

Keywords: transportation networks, urban transportation, freight networks, network robustness, relative total cost index, system-optimization, user-optimization, Bureau of Public Roads link cost functions, degradable links, vulnerability analysis

JEL Classification: L91, R41

Suggested Citation

Nagurney, Anna and Qiang, Qiang, A Relative Total Cost Index for the Evaluation of Transportation Network Robustness in the Presence of Degradable Links and Alternative Travel Behavior (April 1, 2008). International Transactions in Operational Research, Available at SSRN: https://ssrn.com/abstract=1125032 or http://dx.doi.org/10.2139/ssrn.1125032

Anna Nagurney (Contact Author)

University of Massachusetts Amherst - Isenberg School of Management - Department of Operations and Information Management ( email )

Amherst, MA 01003-4910
United States

Qiang Qiang

Pennsylvania State University - Great Valley School of Graduate Professional Studies ( email )

30 E. Swedesford Rd
Malvern, PA 19355
United States

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