The dual decomposition method and its application to an interdicted network.
Timothy Paul Gannon · Calhoun: The Naval Postgraduate School Institutional Archive (Naval Postgraduate School) · 1989
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.