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» Random walks on polytopes and an affine interior point metho...
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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
CP
2005
Springer
13 years 10 months ago
From Linear Relaxations to Global Constraint Propagation
We present a method for propagating linear constraints. Our technique exploits the fact that the interior point method converges on a central point of the polytope. A variable assi...
Claude-Guy Quimper, Alejandro López-Ortiz
AOR
2006
95views more  AOR 2006»
13 years 4 months ago
A New Practically Efficient Interior Point Method for LP
In this paper we briefly review the importance of LP (linear programming), and Dantzig's main contributions to OR (Operations Research), mathematics, and computer science. In...
Katta G. Murty
MP
2008
99views more  MP 2008»
13 years 4 months ago
Efficient robust optimization for robust control with constraints
This paper proposes an efficient computational technique for the optimal control of linear discrete-time systems subject to bounded disturbances with mixed polytopic constraints o...
Paul J. Goulart, Eric C. Kerrigan, Daniel Ralph