- We introduce the notion of k-violation linear programming. Given a set of n halfplanes, we want to compute an optimal solution with respect to a given linear functional. However, in opposite to classical linear programming, we allow to violate at most k of the n constraints, for some fixed kϵ {0,…, n − 1}.Author: Thomas Roos, Peter WidmayerPublish Year: 1994www.sciencedirect.com/science/article/pii/0020019094001340
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k-Violation linear programming - ScienceDirect
WEBOct 28, 1994 · We introduce the notion of k-violation linear programming. Given a set of n halfplanes, we want to compute an optimal solution with respect to a given linear functional. However, in opposite to classical linear programming [16], we allow to …
- Author: Thomas Roos, Peter Widmayer
- Publish Year: 1994
k-violation linear programming | SpringerLink
WEBJan 1, 2005 · We introduce the notion of k-violation linear programming. Given a set of n halfplanes, we want to compute an optimal solution with respect to a given linear …
- Author: Thomas Roos, Peter Widmayer
- Publish Year: 1994
WEBWe study the covering-type k-violation linear program where at most k of the constraints can be violated. This problem is formulated as a mixed integer program and known to be …
WEBWe introduce the notion of k-violation linear programming. Given a set of n halfplanes, we want to compute an optimal solution with respect to a given linear functional.
Approximation algorithms for the covering-type k-violation linear ...
- Step 1: Solve the LP relaxation problem (2) and let an optimal solution for (2) be \((\varvec{x}L, \varvec{z}L)\).
- Step 2: Let \((i_1, \ldots , i_m)\) be a permutation of M such that $$\begin{aligned} z_{i_1}L \ge z_{i_2}L \ge \cdots \ge z_{i_m}L \end{aligned}$$and set $$\begin{aligned} \delta = \frac{1}{1-z...
- Step 1: Solve the LP relaxation problem (2) and let an optimal solution for (2) be \((\varvec{x}L, \varvec{z}L)\).
- Step 2: Let \((i_1, \ldots , i_m)\) be a permutation of M such that $$\begin{aligned} z_{i_1}L \ge z_{i_2}L \ge \cdots \ge z_{i_m}L \end{aligned}$$and set $$\begin{aligned} \delta = \frac{1}{1-z...
- Step 3: Set the solution \((\varvec{x}M, \varvec{z}M)\) as follows. $$\begin{aligned} \varvec{x}M = \delta \varvec{x}L \end{aligned}$$and $$\begin{aligned} z_iM= \left\{ \begin{array}{ll} 1 &{...
- Author: Yotaro Takazawa, Shinji Mizuno, Tomonari Kitahara
- Published: Apr 13, 2019
- Publish Year: 2019
WEBThis paper addresses KVLPs where the linear system (1) consists of covering type linear inequalities, i. ai and bi are non-negative for all i. We call such a problem a covering-type …
Covering Linear Programming with Violations - PubsOnLine
WEBApr 11, 2014 · We consider a class of linear programs involving a set of covering constraints of which at most k are allowed to be violated. We show that this covering …
WEBCovering Linear Programming with Violations. We consider a class of linear programs involving a set of covering constraints of which at most k are allowed to be violated. We …
k-Violation linear programming | Information Processing Letters
WEBOct 28, 1994 · We present branching-on-hyperplane methods for solving mixed integer linear and mixed integer convex programs. In particular, we formulate the problem of …
Covering Linear Programming with Violations
WEBAug 1, 2014 · We consider a class of linear programs involving a set of covering constraints of which at most k are allowed to be violated. We show that this covering linear program …
- Some results have been removed
