Integer and combinatorial optimization
Integer and combinatorial optimization
Algorithms for railway crew management
Mathematical Programming: Series A and B - Special issue: papers from ismp97, the 16th international symposium on mathematical programming, Lausanne EPFL
On the consecutive ones property
Discrete Applied Mathematics - Special volume on computational molecular biology DAM-CMB series volume 2
On the hardness of approximating minimization problems
Journal of the ACM (JACM)
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
Real-World Applications of Evolutionary Computing, EvoWorkshops 2000: EvoIASP, EvoSCONDI, EvoTel, EvoSTIM, EvoROB, and EvoFlight
A Heuristic Method for the Set Covering Problem
Operations Research
Journal of Computer and System Sciences
The weighted consecutive ones problem for a fixed number of rows or columns
Operations Research Letters
Red-blue covering problems and the consecutive ones property
Journal of Discrete Algorithms
Approximation and fixed-parameter algorithms for consecutive ones submatrix problems
Journal of Computer and System Sciences
A faster algorithm for finding minimum tucker submatrices
CiE'10 Proceedings of the Programs, proofs, process and 6th international conference on Computability in Europe
A polynomial-time algorithm for finding a minimal conflicting set containing a given row
CSR'11 Proceedings of the 6th international conference on Computer science: theory and applications
Minimum membership set covering and the consecutive ones property
SWAT'06 Proceedings of the 10th Scandinavian conference on Algorithm Theory
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In this paper, we consider set covering problems with a coefficient matrix almost having the consecutive ones property, i.e., in most rows of the coefficient matrix, the ones appear consecutively and only a few blocks of consecutive ones appear in the remaining rows. If this property holds for all rows it is well known that the set covering problem can be solved efficiently. For our case of almost consecutive ones we present a reformulation exploiting the consecutive ones structure to develop bounds and a branching scheme. Our approach has been tested on real-world data as well as on theoretical problem instances.