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  Interior point methods for combinatorial optimization (1998) [10 citations — 6 self]

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by John E. Mitchell, Panos M. Pardalos, Mauricio, G. C. Resende
Handbook of Combinatorial Optimization
http://www.research.att.com/~mgcr/doc/ipmco.ps.Z
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Abstract:

ABSTRACT. In this paper, we review recent interior point approaches for solving combinatorial optimization problems. We discuss in detail tecniques for linear and network programming, branch and bound and branch and cut methods, nonconvex potential function minimization, lower bounding techniques, and semidefinite programming relaxations. 1.

Citations

782 Geometric Algorithms and Combinatorial Optimization. Algorithms and Combinatorics 2. SpringerVerlag – Grötschel, Lovász, et al. - 1988
778 A computing procedure for quantification theory – Davis, Putnam - 1960
731 Integer and Combinatorial Optimization – Nemhauser, Wolsey - 1988
574 Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming – Goemans, Williamson - 1995
504 Data structures and network algorithms – Tarjan - 1983
483 Flows in networks – Ford, Fulkerson - 1962
457 A new polynomial-time algorithm for linear programming – Karmarkar - 1984
422 Semidefinite Programming – Vandenberghe, Boyd - 1996
405 Interior point methods in semidefinite programming with applications to combinatorial optimization – Alizadeh - 1995
364 Network Flows – Ahuja, Magnanti, et al. - 1993
320 Shortest connection networks and some generalizations – Prim - 1957
259 A polynomial algorithm in linear programming – Khachiyan - 1979
259 Primal-Dual Interior-Point Methods – WRIGHT - 1997
242 An algorithm for least-squares estimation of nonlinear parameters – Marquardt - 1963
230 Nonlinear programming: Sequential Unconstrained Minimization Techniques – Fiacco, McCormick - 1990
227 Combinatorial Optimization: Networks and – Lawler - 1976
221 On the Shannon capacity of a graph – Lov'asz - 1979
195 Maximum matching and polyhedron with 0, 1-vertices – Edmonds - 1965
185 Interior point polynomial methods in convex programming: Theory and algorithms – Nesterov, Nemirovsky - 1993
177 An interior-point method for semidefinite programming – HELMBERG, RENDL, et al. - 1996
175 On the implementation of a (primal-dual) interior point method – Mehrotra - 1992
157 A lift-and-project cutting plane algorithm for mixed 0-1 programs – Balas, Ceria, et al. - 1993
135 Computing a trust region step – More, Sorensen - 1983
134 Self-scaled barriers and interiorpoint methods for convex programming – NESTEROV, TODD - 1997
130 Interior path following primal-dual algorithms – Monteiro, Adler - 1989
129 Interior point methods for the monotone semidefinite linear complementarity problem in symmetric matrices – Kojima, Shindoh, et al. - 1994
128 An algorithm for integer solutions to linear programs – Gomory - 1963
122 Interior Point Algorithms. Theory and Analysis – YE - 1997
119 Linear Programming and Network Flows – Bazaraa, Jarvis - 1977
117 A branch-and-cut algorithm for the resolution of large-scale symmetric traveling salesman problems – Padberg, Rinaldi - 1991
110 Interior point methods for linear programming: Computational state of the art – Lustig, Marsten, et al. - 1994
103 A new algorithm for minimizing convex functions over convex sets – Vaidya - 1996
89 Iterative solutions of problems of linear and quadratic programming – Dikin - 1967
82 Solving large-scale sparse semidefinite programs for combinatorial optimization – Benson, Ye, et al.
79 A greedy randomized adaptive search procedure for the quadratic assignment problem”, Quadratic assignment and related problems – Li, Pardalos, et al. - 1994
76 a C library for semidefinite programming – CSDP - 1999
73 A spectral bundle method for semidefinite programming – HELMBERG, RENDL - 2000
69 L-shaped linear programs with applications to optimal control and stochastic programming – SLYKE, WETS - 1969
65 A cutting plane algorithm for the linear ordering problem – Grotschel, Junger, et al. - 1984
60 Exploiting sparsity in primal-dual interior-point methods for semidefinite programming – FUJISAWA, KOJIMA, et al. - 1997
60 Theory and Algorithms for Linear Optimization: An Interior Point Approach – Vial - 1997
59 Linear Programming: Foundations and Extensions – Vanderbei - 1997
58 A method for the solution of certain problems in least squares – Levenberg - 1944
58 Discrete Optimization – Parker, Rardin - 1988
55 A variation on Karmarkar’s algorithm for solving linear programming problems – Barnes - 1986
53 Implementation of interior point methods for large scale linear programming', Interior Point Methods – Andersen, Gondzio, et al. - 1996
53 Algorithms for network programming – Kennington, Helgason - 1980
52 Decomposition and nondifferentiable optimization with the projective algorithm – Goffin, Haurie, et al. - 1992
52 Semidefinite programming relaxations for the quadratic assignment problem – ZHAO, KARISCH, et al. - 1998
49 A modification of Karmarkar's linear programming algorithm", Algorithmica 1 – Vanderbei, Meketon, et al. - 1986