On the Induction of Cascading Failures in Transportation Networks

Griffin Kearney, Makan Fardad

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We examine the effect of malicious attacks in disrupting optimal routing algorithms for transportation networks. We model traffic networks using the cell transmission model, which is a spatiotemporal discretization of kinematic wave equations. Here, vehicles are modeled as masses and roads as cells, and traffic flow is subject to conservation of mass and capacity constraints. At time zero a resource-constrained malicious agent reduces the capacities of cells so as to maximize the amount of time mass spends in the network. For the resulting set of capacities the network router then solves a linear program to determine the flow configuration that minimizes the amount of time mass spends in the network. Our model allows for the outright or partial failure of road cells at time zero, the effects of which can cause cascading failure in the network due to irreversible blockages resulting from congestion. This two-player problem is written as a max-min optimization and is reformulated to an equivalent nonconvex optimization problem with a bilinear objective and linear constraints. Linearization techniques are applied to the optimization problem to find local solutions. Analyzing illustrative examples shows that attackers with relatively small resource budgets can cause widespread failure in a traffic network.

Original languageEnglish (US)
Title of host publication2018 IEEE Conference on Decision and Control, CDC 2018
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1821-1826
Number of pages6
ISBN (Electronic)9781538613955
DOIs
StatePublished - Jan 18 2019
Event57th IEEE Conference on Decision and Control, CDC 2018 - Miami, United States
Duration: Dec 17 2018Dec 19 2018

Publication series

NameProceedings of the IEEE Conference on Decision and Control
Volume2018-December
ISSN (Print)0743-1546

Conference

Conference57th IEEE Conference on Decision and Control, CDC 2018
CountryUnited States
CityMiami
Period12/17/1812/19/18

Fingerprint

Cascading Failure
Transportation Networks
Proof by induction
Traffic Network
Cell
Routing algorithms
Wave equations
Optimization Problem
Routers
Linearization
Linearization Techniques
Resources
Capacity Constraints
Nonconvex Optimization
Nonconvex Problems
Conservation
Local Solution
Kinematics
Zero
Linear Constraints

Keywords

  • cascading failures
  • flow networks
  • network interdiction
  • Traffic network

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

Cite this

Kearney, G., & Fardad, M. (2019). On the Induction of Cascading Failures in Transportation Networks. In 2018 IEEE Conference on Decision and Control, CDC 2018 (pp. 1821-1826). [8619519] (Proceedings of the IEEE Conference on Decision and Control; Vol. 2018-December). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2018.8619519

On the Induction of Cascading Failures in Transportation Networks. / Kearney, Griffin; Fardad, Makan.

2018 IEEE Conference on Decision and Control, CDC 2018. Institute of Electrical and Electronics Engineers Inc., 2019. p. 1821-1826 8619519 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2018-December).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Kearney, G & Fardad, M 2019, On the Induction of Cascading Failures in Transportation Networks. in 2018 IEEE Conference on Decision and Control, CDC 2018., 8619519, Proceedings of the IEEE Conference on Decision and Control, vol. 2018-December, Institute of Electrical and Electronics Engineers Inc., pp. 1821-1826, 57th IEEE Conference on Decision and Control, CDC 2018, Miami, United States, 12/17/18. https://doi.org/10.1109/CDC.2018.8619519
Kearney G, Fardad M. On the Induction of Cascading Failures in Transportation Networks. In 2018 IEEE Conference on Decision and Control, CDC 2018. Institute of Electrical and Electronics Engineers Inc. 2019. p. 1821-1826. 8619519. (Proceedings of the IEEE Conference on Decision and Control). https://doi.org/10.1109/CDC.2018.8619519
Kearney, Griffin ; Fardad, Makan. / On the Induction of Cascading Failures in Transportation Networks. 2018 IEEE Conference on Decision and Control, CDC 2018. Institute of Electrical and Electronics Engineers Inc., 2019. pp. 1821-1826 (Proceedings of the IEEE Conference on Decision and Control).
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