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STOC
2009
ACM
136views Algorithms» more  STOC 2009»
14 years 6 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
AOR
2006
95views more  AOR 2006»
13 years 5 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
SIAMJO
2000
74views more  SIAMJO 2000»
13 years 5 months ago
A Specialized Interior-Point Algorithm for Multicommodity Network Flows
Abstract. Despite the efficiency shown by interior-point methods in large-scale linear programming, they usually perform poorly when applied to multicommodity flow problems. The ne...
Jordi Castro
CORR
2008
Springer
105views Education» more  CORR 2008»
13 years 5 months ago
Interior-Point Algorithms for Linear-Programming Decoding
Abstract-- Interior-point algorithms constitute a very interesting class of algorithms for solving linear-programming problems. In this paper we study efficient implementations of ...
Pascal O. Vontobel
SIAMJO
2000
116views more  SIAMJO 2000»
13 years 5 months ago
Computational Experience with an Interior Point Cutting Plane Algorithm
There has been a great deal of success in the last twenty years with the use of cutting plane algorithms to solve specialized integer programming problems. Generally, these algori...
John E. Mitchell