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Robust linear programming and optimal control
Linear programming Convex optimization Model-predictive control
2015/8/11
We describe an efficient method for solving an optimal control problem that arises in robust model-predictive control. The problem is to design the input sequence that minimizes the peak tracking erro...
A MODIFIED HOMOGENEOUS AND SELF-DUAL LINEAR PROGRAMMING ALGORITHM
Linear programming interior point algor
2007/12/17
In this paper,we modify the corrector step of the homogeneous and self-dual linear programming algorithm, proposed by Ye, Todd and Mizuno[1]. The duality gap is reduced by a constant fraction per iter...
In this paper, we study sensitivity analysis of bilevel linear programming. Twocases of the leader's objective function and the right-hand side of the constraints including parameters are discussed se...
A HYBRID POLYNOMIAL ALGORITHM FOR LINEAR PROGRAMMING
Linear programming scaling algorithn po
2007/8/7
We propose a "long step" double scaling algorithm. Its local performance has been compared with those of potential-reduction algorithms. On the basis of this analysis, we introduce a polynomial algori...
The Dantzig/Wolfe linear programming decomposition algorithm has had important economic interpretations as well as a widespread impact on solving large scale linear programming problem. In this paper ...