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A Set Covering Approach To Infeasibility Analysis Of Linear Programming Problems And Related Issues (1995)  (Make Corrections)  (5 citations)
Mark Richard Parker



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Abstract: With the increased sophistication of both computers and optimization software, linear programming problems of a size inconceivable to solve only a few years ago are now readily accessible. As model size and complexity increase, the issue of feasibility becomes a major issue in model development. This thesis explores the analysis of linear programming infeasibility through the use of Irreducible Infeasible Subsystems, or I ISs. In particular, we develop a constraint generation algorithm for... (Update)

Context of citations to this paper:   More

.... for minimal infeasible subsystems [28, 15] the later ones aim at removing as few constraints as possible to achieve feasibility [60, 57, 58, 13, 29]. The more practical approach in which the modeler is allowed to weight the constraints according to their importance and...

.... for minimal infeasible subsystems [28, 15] the later ones aim at removing as few constraints as possible to achieve feasibility [29, 53, 51, 50, 14]. In fact, the more practical approach in which the modeler is allowed to weight the constraints according to their importance...

Cited by:   More
On the Approximability of Some NP-hard Minimization Problems.. - Amaldi, Kann (1996)   (Correct)
On the Maximum Feasible Subsystem Problem, IISs and.. - Amaldi, Pfetsch.. (2002)   (Correct)
Some Structural and Algorithmic Properties of the.. - Amaldi, Pfetsch.. (2000)   (Correct)

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BibTeX entry:   (Update)

M. Parker. A set covering approach to infeasibility analysis of linear programming problems and related issues. PhD thesis, Department of Mathematics, University of Colorado at Denver, 1995. http://citeseer.ist.psu.edu/parker95set.html   More

@misc{ parker95set,
  author = "M. Parker",
  title = "A set covering approach to infeasibility analysis of linear programming
    problems and related issues",
  text = "M. Parker. A set covering approach to infeasibility analysis of linear
    programming problems and related issues. PhD thesis, Department of Mathematics,
    University of Colorado at Denver, 1995.",
  year = "1995",
  url = "citeseer.ist.psu.edu/parker95set.html" }
Citations (may not include all citations):
717   Theory of Linear and Integer Programming (context) - Schrijver - 1986  ACM
518   Integer and Combinatorial Optimization (context) - Nemhauser, Wolsey - 1988  ACM
124   Robust Linear Programming Discrimination of Two Linearly Ins.. - Bennett, Mangasarian - 1992
113   North-Holland (context) - Berge - 1989
69   A Greedy Heuristic for the Set Covering Problem (context) - Chv'atal - 1979
69   Linear Programming (context) - Murty - 1983  ACM
48   The Complexity and Approximability of Finding Maximum Feasib.. - Amaldi, Kann - 1993  ACM   DBLP
20   Computers and Intractability (context) - Gary, Johnson - 1979  ACM
14   The Complexity of Vertex Enumeration Methods (context) - Dyer - 1983
14   Locating Minimal Infeasible Constraint Sets in Linear Progra.. (context) - Chinneck, Dravnieks - 1991
14   From Finding Maximum Feasible Subsystems of Linear Systems t.. (context) - Amaldi - 1994
10   Identifying Minimally Infeasible Subsystems of Inequalities (context) - Gleeson, Ryan - 1990
10   On Systems of Linear Inequalities (context) - Fan - 1956
7   the Approximability of Removing the Smallest Number of Relat.. - Amaldi, Kann - 1994
5   Some Results Concerning Post-Infeasibility Analysis (context) - Chakravarti - 1994
4   Transversals of IIS-Hypergraphs (context) - Ryan - 1991
4   Diagnosing Infeasibility in Min-cost Network Flow Problems P.. (context) - Greenberg - 1988
4   Diagnosing Infeasibility in Min-cost Network Flow Problems P.. (context) - Greenberg - 1987
3   Post-Infeasibility Analysis in Linear Programming (context) - Roodman - 1979
2   Finding Minimal Infeasible Sets of Constraints in Infeasible.. (context) - Chinneck - 1993
2   All the Facets with Coefficients in f (context) - Balas, Ng et al. - 1989
2   CCM Report No (context) - Greenberg - 1993
2   IIS--Hypergraphs (context) - Ryan - 1993
1   An Effective Polynomial Time Algorithm for the Minimum Cardi.. (context) - Chinneck - 1995
1   Approaches to Diagnosing Infeasibile Linear Programs (context) - Greenberg, Murphy - 1991
1   An Empirical Analysis of Infeasibility Diagnosis for Instanc.. (context) - Greenberg - 1992
1   Irreducibly Inconsistent Systems of Linear Inequalities (context) - Van Loon - 1981
1   A Feasible-Point Algorithm for Structured Design Systems in .. (context) - Debrosse, Westerberg - 1973
1   A Note on Resolving Infeasiblity in Linear Programs by Const.. (context) - Sankaran - 1993
1   How to Analyze the Results of Linear Programs Part 3: Infeas.. (context) - Greenberg - 1993
1   Improved Linear and Integer Programming Models for Discrimin.. (context) - Glover - 1993
1   Personal Communication to J (context) - Pulleyblank
1   Finding the Most Useful Subset of Constraints for Analysis i.. (context) - Chinneck - 1993
1   Identification of Redundancy by a Set Covering Equivalence (context) - Boneh - 1984



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