The dual decomposition method and its application to an interdicted network.
Gannon, Timothy Paul
Bailey, Michael P.
Parry, Samuel H.
MetadataShow full item record
This paper introduces the dual decomposition method for determining the distribution of an optimal objective function for a network problem. The objective function is to minimize the shortfall of demands to prioritized sinks for a four day period over a network that is subject to interdiction. The requirements of the model are that the upper and lower bounds on the capacities of the arcs and nodes of the network and the probabilities of interdiction are known. The dual decomposition method is an iterative approach to enumerating the possible instances of capacities in a capacitated network, based on the dual variables of the pervious iteration. The purpose of the procedure is to determine the distribution of the shortfall of demands so that logistics planners can predict the performance of a supply distribution system over a short period of time.
Approved for public release; distribution is unlimited
Showing items related by title, author, creator and subject.
Cormican, Kelly James (Monterey, California. Naval Postgraduate School, 1995-03);Using limited resources, a network interdictor attempts to disable components of a capacitated network with the objective of minimizing the maximum network flow achievable by the network user. This problem has applications ...
Santos, Christopher P. (Monterey, California: Naval Postgraduate School, 2016-03);The U.S. military has supported U.S. law enforcement in counter drug-trafficking efforts since the 1980s; the interagency counterdrug approach developed during that period—and still used today—focuses primarily on interdiction ...
Connoly, Robert C., II (Monterey, California: U.S. Naval Postgraduate School, 1956);This paper consists of an analysis of the problems pertaining to the interdiction of a land logistics network, Leontieff-type input-output models are employed to describe the flows of materials in the logistic system, ...