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A Genetic Algorithm for the Set Covering Problem
Journal of the Operational Research Society, 1996Summary: The set covering problem (SCP) is considered. Several algorithms have been suggested in the literature for solving it. We propose a new algorithm for solving the SCP which is based on the genetic technique. This algorithm has been implemented and tested on various standard and randomly generated test problems.
Al-Sultan, K. S. +2 more
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International Journal of Mathematical Education in Science and Technology, 1981
The solution of the set covering problem provides an ideal illustration of tree searching techniques. In this paper a variant of the A∗ algorithm is used to efficiently search a tree to find a minimal cost cover. The paper provides an ideal case study for mathematical programmers.
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The solution of the set covering problem provides an ideal illustration of tree searching techniques. In this paper a variant of the A∗ algorithm is used to efficiently search a tree to find a minimal cost cover. The paper provides an ideal case study for mathematical programmers.
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A heuristic algorithm for the set covering problem
1996We present a Lagrangian-based heuristic for the well-known Set Covering Problem (SCP). The main characteristics of the algorithm we propose are (1) a dynamic pricing scheme for the variables, akin to that used for solving large-scale LP's, to be coupled with subgradient optimization and greedy algorithms, and (2) the systematic use of column fixing to ...
Caprara A., Fischetti M., Toth P.
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Approximation of a Geometric Set Covering Problem
2001We consider a special set covering problem. This problem is a generalization of finding a minimum clique cover in an interval graph. When formulated as an integer program, the 0-1 constraint matrix of this integer program can be partitioned into an interval matrix and a special 0-1 matrix with a single 1 per column.
Sofia Kovaleva, Frits C. R. Spieksma
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A hybrid heuristic for the set covering problem
Operational Research, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shyam Sundar 0001, Alok Singh 0001
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Ant system for the set covering problem
2001 IEEE International Conference on Systems, Man and Cybernetics. e-Systems and e-Man for Cybernetics in Cyberspace (Cat.No.01CH37236), 2002Ant colony optimization (ACO) is a metaheuristic inspired by the biological behavior of Argentine ants, which cooperate with each other by means of pheromone deposit and evaporation. The ant system (AS), one of the instances of this general optimization approach, has been applied to different optimization problems.
Ricardo Martins de Abreu Silva +1 more
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Customisable architectures for the set covering problem
ACM SIGARCH Computer Architecture News, 2013This paper proposes novel customisable streaming architectures for the NP-hard set covering problem. Our approach covers both exhaustive and genetic algorithms, supporting coarse-grain parallelism and deep pipelines while allowing trade-offs between performance and resource usage.
Liucheng Guo, David B. Thomas, Wayne Luk
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On approximation of the submodular set cover problem
Operations Research Letters, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Lagrangean Heuristic for Set Covering Problems
Naval Research Logistics, 1990The set covering problem (SCP) is the problem of covering the rows of a m row, n column, zero-one matrix by a subset of the columns at minimum cost.
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On the Fractional Solution to the Set Covering Problem
SIAM Journal on Algebraic Discrete Methods, 1983We study the gap between the value of the integer solution to the set covering problem and the value of the fractional solution that solves the linear programming relaxation of this problem.
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