@conference {1503283,
	title = {Security Scheduling for Real-world Networks },
	booktitle = {International Conference on Autonomous Agents and Multiagent Systems (AAMAS)},
	year = {2013},
	abstract = {Network based security games, where a defender strategically places security measures on the edges of a graph to protect against an adversary, who chooses a path through a graph is an important research problem with potential for real-world impact. For example, police forces face the problem of placing checkpoints on roads to inspect vehicular traffic in their day-to-day operations, a security measure the Mumbai police have performed since the terrorist attacks in 2008. Algorithms for solving such network-based security problems have been proposed in the literature, but none of them scale up to solving problems of the size of real-world networks. In this paper, we present SNARES, a novel algorithm that computes optimal solutions for both the defender and the attacker in such network security problems. Based on a double-oracle framework, SNARES makes novel use of two approaches: warm starts and greedy responses. It makes the following contributions: (1) It defines and uses mincut-fanout, a novel method for efficient warm-starting of the computation; (2) It exploits the submodularity property of the defender optimization in a greedy heuristic, which is used to generate {\textquotedblleft}better-responses"; SNARES also uses a better-response computation for the attacker. Furthermore, we evaluate the performance of SNARES in real-world networks illustrating a significant advance: whereas state-of-the-art algorithms could handle just the southern tip of Mumbai, SNARES can compute optimal strategy for the entire urban road network of Mumbai.},
	author = {Jain, Manish and Vincent Conitzer and Tambe, Milind}
}
