J Transp Secur (2012) 5:51–68
DOI 10.1007/s12198-011-0081-4
Estimation of the commodity flow of chlorine
from storage data
Alexei Kolesnikov · Angel Kumchev ·
Dennis Howell · Patrick O’Neill · Matthew Tiger
Received: 21 July 2011 / Accepted: 9 August 2011 / Published online: 26 August 2011
© Springer Science+Business Media, LLC 2011
Abstract This paper proposes a mathematical model for estimating the road
transport of industrial chlorine in the United States from the publicly available
storage data. While the railroad industry provides government agencies in the
US with data on rail transport of chlorine, such data for road transport are
not reported. The decision whether to collect such data presents a conflict
between public safety on one hand and increased regulatory burden on the
other. Therefore, it is of interest to explore whether it is possible to provide
estimates for the road transport using the existing data. We model the trans-
portation of chlorine as a network flow problem. The formulation takes into
consideration the entire supply chain, modeling both rail and road transport.
Since transportation costs are not known, they are assumed to be random
variables with a certain distribution. The road transport estimates are then
obtained as a minimum-cost flow distribution induced by the distribution of the
cost vector. The solution is visualized by combining the estimates with routing
data to produce flow maps in a standard GIS markup language.
Keywords Transportation security · Commodity flow · Industrial chemicals ·
Optimization
This paper is based upon work supported by the Chemical Security Analysis Center of the
US Department of Homeland Security under grant number TCN 10-030.
A. Kolesnikov (B ) · A. Kumchev · D. Howell · P. O’Neill · M. Tiger
Department of Mathematics, Towson University, 7800 York Road, Towson, MD 21252, USA
e-mail: akolesnikov@towson.edu
A. Kumchev
e-mail: akumchev@towson.edu