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Matrix interdiction problem

Conference ·
 [1];  [1]
  1. Los Alamos National Laboratory
+ Show Author Affiliations
In the matrix interdiction problem, a real-valued matrix and an integer k is given. The objective is to remove k columns such that the sum over all rows of the maximum entry in each row is minimized. This combinatorial problem is closely related to bipartite network interdiction problem which can be applied to prioritize the border checkpoints in order to minimize the probability that an adversary can successfully cross the border. After introducing the matrix interdiction problem, we will prove the problem is NP-hard, and even NP-hard to approximate with an additive n{gamma} factor for a fixed constant {gamma}. We also present an algorithm for this problem that achieves a factor of (n-k) mUltiplicative approximation ratio.
Research Organization:
Los Alamos National Laboratory (LANL)
Sponsoring Organization:
DOE
DOE Contract Number:
AC52-06NA25396
OSTI ID:
985896
Report Number(s):
LA-UR-10-00541; LA-UR-10-541
Country of Publication:
United States
Language:
English

References (13)

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Related Subjects

45 MILITARY TECHNOLOGY, WEAPONRY, AND NATIONAL DEFENSE
97 MATHEMATICS AND COMPUTING
ADDITIVES
ALGORITHMS
APPROXIMATIONS
PROBABILITY