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On the Maximum Feasible Subsystem Problem, IISs and IIS-Hypergraphs (2002)  (Make Corrections)  
Edoardo Amaldi, Marc E. Pfetsch, Leslie E. Trotter, Jr.



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Abstract: We consider the MAX FS problem: For a given infeasible linear system Ax b, determine a feasible subsystem containing as many inequalities as possible. This problem, which is NP-hard and also difficult to approximate, has a number of interesting applications in a wide range of fields. In this paper we examine structural and algorithmic properties of MAX FS and of Irreducible Infeasible Subsystems (IISs), which are intrinsically related since one must delete at least one constraint from... (Update)

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BibTeX entry:   (Update)

@misc{ amaldi-maximum,
  author = "Edoardo Amaldi and Marc E. Pfetsch and Leslie E. Trotter and Jr.",
  title = "On the Maximum Feasible Subsystem Problem, IISs and IIS-Hypergraphs",
  url = "citeseer.ist.psu.edu/amaldi02maximum.html" }
Citations (may not include all citations):
4212   Computers and Intractability: A guide to the theory of NP-co.. (context) - GAREY, JOHNSON - 1979
245   Graphs and Hypergraphs (context) - BERGE - 1976
128   Complexity and Real Computation (context) - BLUM, CUCKER et al. - 1997
120   The hardness of approximate optima in lattices (context) - ARORA, BABAI et al. - 1997
97   Lectures on Polytopes - ZIEGLER
69   Some optimal inapproximability results (context) - ASTAD - 2001
48   The complexity and approximability of finding maximum feasib.. - AMALDI, KANN - 1995
35   Topological methods (context) - ORNER - 1995
27   Computational Synthetic Geometry (context) - BOKOWSKI, STURMFELS - 1989
26   Misclassification minimization - MANGASARIAN - 1994
19   the approximability of minimizing nonzero variables or unsat.. - AMALDI, KANN - 1998
17   perceptron learning rule (context) - FREAN, thermal - 1992
14   Locating minimal infeasible constraint sets in linear progra.. (context) - CHINNECK, DRAVNIEKS - 1991
14   The universality theorems on the classification problem of c.. (context) - EV - 1988
14   From finding maximum feasible subsystems of linear systems t.. (context) - AMALDI - 1994
14   Encyclopedia of Mathematics and its Applications (context) - ORNER, VERGNAS et al. - 1999
12   Realization Spaces of Polytopes (context) - RICHTER-GEBERT - 1996
10   Computational real algebraic geometry - MISHRA - 1997
10   On systems of linear inequalities (context) - FAN - 1956
10   Identifying minimally infeasible subsystems of inequalities (context) - GLEESON, RYAN - 1990
9   A parametric optimization method for machine learning - BENNETT, BREDENSTEINER - 1997
8   A generalization of antiwebs to independence systems and the.. (context) - LAURENT - 1989
7   Approaches to diagnosing infeasible linear programs (context) - GREENBERG, MURPHY - 1991
7   Trees and Hills: Methodology for Maximizing Functions of Sys.. (context) - GREER - 1984
6   Finding the minimum weight IIS cover of an infeasible system.. (context) - PARKER, RYAN - 1996
6   The densest hemisphere problem (context) - JOHNSON, PREPARATA - 1978
6   An effective polynomial-time heuristic for the minimum-cardi.. (context) - CHINNECK - 1996
5   A set covering approach to infeasibility analysis of linear .. - PARKER - 1995
5   Some results concerning post-infeasibility analysis (context) - CHAKRAVARTI - 1994
5   A note on resolving infeasibility in linear programs by cons.. (context) - SANKARAN - 1993
5   Some structural and algorithmic properties of the maximum fe.. - AMALDI, PFETSCH et al. - 1999
4   Transversals of IIS-hypergraphs (context) - RYAN - 1991
4   and implied equalities in linear systems (context) - GREENBERG, redundancy - 1996
3   Irreducibly inconsistent systems of linear inequalities (context) - VAN LOON - 1981
3   Set covering problem (context) - CERIA, NOBILI et al. - 1997
3   the set covering polytope: All the facets with coefficients (context) - BALAS, NG - 1989
3   Beitrage zur Theorie der Linearen Ungleichungen (context) - MOTZKIN - 1933
2   Computer codes for the analysis of infeasible linear program.. (context) - CHINNECK - 1996
2   IIS-hypergraphs (context) - RYAN - 1996
1   Vertex-facet incidences of unbounded polyhedra - JOSWIG, KAIBEL et al. - 2001
1   The MIN PFS problem and piecewise linear model estimation (context) - AMALDI, MATTAVELLI - 2002
1   Detecting IIS in infeasible linear programmes using techniqu.. (context) - TAMIZ, MARDLE et al. - 1996
1   Examples of generalized antiweb facets (context) - PFETSCH
1   Fast heuristics for the maximum feasible subsystem problem (context) - CHINNECK - 2001
1   Models and algorithms for terrestrial digital broadcasting (context) - ROSSI, SASSANO et al. - 2001
1   Finding a useful subset of constraints for analysis in an in.. (context) - CHINNECK - 1997
1   Diagnosing infeasibilities in network flow problems - AGGARWAL, AHUJA et al. - 1998
1   Randomized relaxation methods for the maximum feasible subsy.. (context) - AMALDI, HAUSER - 2001
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