Stanford researchers calculate the mathematics of terror 

http://www.physorg.com/news11453.html


George Habash, a militant and former secretary-general of the Popular Front
for the Liberation of Palestine, once characterized terrorism as a "thinking
man's game." Using mathematics, researchers at Stanford University's Center
for International Security and Cooperation (CISAC) have made fighting
terrorism a thinking man's game as well. 



CISAC affiliate Lawrence M. Wein of the Graduate School of Business and
CISAC Science Fellow Jonathan D. Farley are both applying mathematical
models to homeland security problems, such as preventing a nuclear
detonation in a major U.S. city and determining whether terrorist cells have
likely been disrupted. 

Wein, who teaches operations classes about different business processes used
to deliver goods and services, has focused his research on bioterrorism and
border issues. He has performed, he says, the first mathematical analyses of
hypothetical botulism poisoning, anthrax outbreaks and smallpox infections. 

"One overriding theme of my work is that all these homeland security
problems are operations problems," said Wein, the Paul E. Holden Professor
of Management Science. "Just as McDonald's needs to get hamburgers out in a
rapid and defect-free manner, so too does the government have to get
vaccines and antibiotics out and test the borders for nuclear weapons or
terrorists in a rapid and defect-free manner." 

In collaboration with Stephen Flynn of the Council on Foreign Relations, a
nonpartisan research center, Wein recently has conducted research to improve
security at U.S. borders and ports. Port security has received significant
attention recently owing to the furor over Dubai Ports World's bid to manage
six terminals at major U.S. harbors. The aim of Wein and Flynn's work is to
prevent terrorists from bringing into the country a nuclear weapon-be it an
atomic bomb or a so-called "dirty bomb," or conventional explosive packed
with radioactive waste. 

"Of all the problems I've studied, this is the most important because the
worst-case terrorist scenario is a nuclear weapon going off in a major U.S.
city and also it is the one the government has dropped the ball on the
most," Wein said. "They have done a very poor job." 

Instead of using the existing approach, where U.S. Customs actively inspects
a minority of containers based on information from a specialized tracking
system designed to identify suspicious containers, Wein and Flynn have
recommended the government use a multi-layer, passive screening system for
every container entering the country. Under their system, Customs would
photograph a shipping container's exterior, screen for radioactive material
and collect gamma-ray images of the container's contents. If terrorists
shielded a bomb with a heavy metal such as lead to hide it from radiation
detectors, gamma-ray imaging would allow inspectors to see the shielding and
flag the container for inspection. Wein and Flynn believe this whole process
would cost about $7 per container. 

"Right now about maybe 6 percent of the containers are deemed suspicious and
they will go through some testing and the other 94 percent of the containers
just waltz right into the country without an inspector laying an eye on
them," Wein said. "What we're proposing to do is 100 percent passive
testing." 

Wein's earlier work addressed a different threat: bioterrorism. In 2005,
Wein revealed the nation's milk supply was vulnerable-a terrorist could
potentially poison 100,000 gallons of milk by sneaking a few grams of
botulinum into a milk tanker. Although the government and dairy industry
have collaborated to intensify the heat pasteurization formula for milk,
Wein is still pushing for additional botulinum testing, which he says would
cost less than 1 percent of the cost of milk. 

Wein also has used math to study smallpox outbreaks, the U.S. fingerprint
identification system and U.S.-Mexico border security issues. Wein's
congressional testimony on the fingerprint identification system in 2004 led
to a switch from a two-finger system to a 10-finger system. His 2003
research on anthrax attacks resulted in a Washington, D.C., pilot program to
use the U.S. Postal Service to distribute antibiotics throughout the capital
after an outbreak. Seattle is now testing a similar program. 

"In Washington, D.C., now, if there is a large-scale anthrax attack, postal
workers will be the first to get their Cipro and, on a voluntary basis, they
will go door-to-door distributing antibiotics," Wein said. 

He said the common thread throughout his research is queuing theory, or the
mathematical study of waiting lines, but he also draws upon mathematical
epidemiology for his smallpox studies; air dispersion models for the anthrax
model; supply chain management for the milk study; probability theory for
the fingerprint identification system; and models for nuclear transport and
detection for his work with containers. 

>From tainted lactose to lattice structures 

While Wein is working on improving the government's counterterrorism
systems, Jonathan Farley is working to figure out when terrorist
organizations have been effectively disrupted. His mathematical model is
designed to help law enforcement decide how to act once they have captured
or killed a terrorist or a number of terrorists in a cell. 

A professor at the University of the West Indies who will chair the
Department of Mathematics and Computer Science there next year, Farley is on
a one-year science fellowship at CISAC. In 2003, he co-founded Phoenix
Mathematical Systems Modeling Inc., a company that develops mathematical
solutions to homeland security problems. 

He is using lattice theory-a branch of mathematics that deals with ordered
sets-to determine the probability a terrorist cell has been disrupted once
some of its members have been captured or killed. 

"Law enforcement has to make decisions about what resources they should
allocate to target different cells," Farley said. "The model should provide
them with a more rational basis for allocating their scarce resources. . It
will inform you when you're making decisions about how much time and effort
and how much money you're going to spend going after a particular cell." 

While at Stanford, Farley hopes to unearth the perfect structure,
mathematically speaking, for a terrorist cell-or in other words, a cell
structure that is most resistant to the loss of members. 

"If it's possible to determine the structure of an ideal terrorist cell, you
can focus on a much smaller number of possibilities, because it makes more
sense to assume the adversary is going to be smart rather than stupid,"
Farley said. 

Farley has suggested it is possible Al-Qaida and other terrorist
organizations already may have figured out the perfect structure for a
terror cell by trial and error. 

"I don't expect Osama bin Laden to be reading lattice theory in his caves in
Afghanistan," said Farley. "But if it follows from the mathematics, perhaps
heuristically, the terrorists will have come to the same conclusion-that
this is the best way to structure a terrorist cell." 

Although Farley acknowledges his model is not a panacea for terrorism, he
hopes it will help reduce guesswork that might be involved in pursuing
terrorists. 

"It's not that I think mathematics can solve all of these problems," Farley
said. "Because it can't. But it's better to use rational means to make
decisions rather than guesswork." 

Source: Stanford University, by John B. Stafford 







This news is brought to you by PhysOrg.com

 



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