Identifying Security Checkpoint Locations to Protect the Major US Urban Areas
Checkpoints are Funny Things - they can KEEP PEOPLE OUT - or they can KEEP PEOPLE IN
ABSTRACT: Transit networks are integral to the economy and to society, but at the same time they could allow terrorists to transport weapons of mass destruction into any city. Road networks are especially vulnerable, because they lack natural checkpoints unlike air networks that have security measures in place at all major airports. One approach to mitigate this risk is ensuring that every road route passes through at least one security checkpoint. Using the Ford-Fulkerson maximum-flow algorithm, we generate a minimum set of checkpoint locations within a ring-shaped buffer area surrounding the 50 largest US urban areas. We study how the number of checkpoints changes as we increase the buffer width to perform a cost-benefit analysis and to identify groups of cities that behave similarly. The set of required checkpoints is surprisingly small (10-124) despite the hundreds of thousands of road arcs in those areas, making it feasible to protect all major cities.
Daniel Watkins et.al. “Identifying Checkpoint Locations to Protect Major Urban Areas.” Homeland Security Affairs 11, Article 8 (September 2015). https://www.hsaj.org/articles/6311
Phoenix M(15, 45) = 36 Arcs crossing the inner and outer circles are colored in blue and arcs in the cut set are colored in red
Cluster 1 - San Francisco, San Diego, Las Vegas, Virginia Beach, Jacksonville, Salt Lake City, New Orleans
Cluster 2 - Miami, Tampa, Baltimore, Riverside, Portland, Sacramento, San Jose, Orlando, Austin, Charlotte, Memphis, Louisville, Nashville, Richmond, Buffalo, Bridgeport, Raleigh
Cluster 3 - New York City, Washington, DC, Boston, Detroit, Phoenix, Seattle, Denver, St. Louis, Cleveland, San Antonio, Cincinnati, Milwaukee, Columbus, Providence, Hartford
Cluster 4 - Los Angeles, Chicago, Philadelphia, Dallas, Houston, Atlanta, Minneapolis, Pittsburgh, Kansas City, Indianapolis, Oklahoma City
We discovered that there are substantial similarities among the 50 urban road networks in our study, particularly in that the number of checkpoints required to protect urban areas drops precipitously as the size of the buffer area increases until a minimum value is reached. This value is usually reached within a 16-mile-wide buffer area, although geographical features such as mountains and lakes can allow for further decreases.
We also see that a few of the largest cities in the United States are particularly vulnerable to disruptions in the road network, in that damages to a small number of roads could severely limit connections to the regional road network, or even completely prevent all road-based transportation to and from the city.
You can check-out any time you like, - But you can never leave!