(Enter summary)
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...
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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):
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Integer and Combinatorial Optimization (context) - Nemhauser, Wolsey - 1988 ACM
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North-Holland (context) - Berge - 1989
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A Greedy Heuristic for the Set Covering Problem (context) - Chv'atal - 1979
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Linear Programming (context) - Murty - 1983 ACM
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The Complexity and Approximability of Finding Maximum Feasib..
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Computers and Intractability (context) - Gary, Johnson - 1979 ACM
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The Complexity of Vertex Enumeration Methods (context) - Dyer - 1983
14
Locating Minimal Infeasible Constraint Sets in Linear Progra.. (context) - Chinneck, Dravnieks - 1991
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From Finding Maximum Feasible Subsystems of Linear Systems t.. (context) - Amaldi - 1994
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Identifying Minimally Infeasible Subsystems of Inequalities (context) - Gleeson, Ryan - 1990
10
On Systems of Linear Inequalities (context) - Fan - 1956
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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
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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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