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» On Warm Starts for Interior Methods
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IFIP
2005
Springer
13 years 10 months ago
On Warm Starts for Interior Methods
An appealing feature of interior methods for linear programming is that the number of iterations required to solve a problem tends to be relatively insensitive to the choice of in...
Anders Forsgren
SIAMJO
2002
100views more  SIAMJO 2002»
13 years 4 months ago
Warm-Start Strategies in Interior-Point Methods for Linear Programming
Abstract. We study the situation in which, having solved a linear program with an interiorpoint method, we are presented with a new problem instance whose data is slightly perturbe...
E. Alper Yildirim, Stephen J. Wright
SIAMJO
2010
88views more  SIAMJO 2010»
12 years 11 months ago
A Primal-Dual Exterior Point Method for Nonlinear Optimization
In this paper, a primal dual method for general possible nonconvex nonlinear optimization problems is considered. The method is an exterior point type method which means that it p...
Hiroshi Yamashita, Takahito Tanabe
MP
1998
76views more  MP 1998»
13 years 4 months ago
Warm start of the primal-dual method applied in the cutting-plane scheme
A practical warm-start procedure is described for the infeasible primal-dualinterior-point method employed to solve the restricted master problem within the cutting-plane method. ...
Jacek Gondzio
STOC
2009
ACM
136views Algorithms» more  STOC 2009»
14 years 5 months ago
Random walks on polytopes and an affine interior point method for linear programming
Let K be a polytope in Rn defined by m linear inequalities. We give a new Markov Chain algorithm to draw a nearly uniform sample from K. The underlying Markov Chain is the first t...
Ravi Kannan, Hariharan Narayanan