mt_T1.c File Reference

Detailed Description

Definition in file mt_T1.c.

#include "mt_T1.h"

Include dependency graph for mt_T1.c:

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Functions

int MTt1_ccbk (CPXCENVptr env, void *cbdata, int wherefrom, void *cbhandle, int *useraction_p)

Interface for the CPLEX-callback for the MTt1Cut function.

int MTt1Cut (const MTrowmatrix_t *const tb, MTlp_t *const lp, MTcutHeap_t *const cuth, const double *const f, double *const extcut, double *const work, const int cut_style)

compute the best cuts found using T1 sets as a base, where
$T1_n=\left\{ x\in\mathbb{R}^n: x_i\geq 0, \sum\limits_{i=1}^n x_i\leq n \right\},$
and where we try all possible $2^n$ reorientation of the axis. Note that we assume that all variables are continuous, and that the tableau represent the (vectorial) equation
$\vec{x} = \vec{f}+\frac12\vec{1} +\sum\limits_{i\in I}s_i\vec{r_i},$
where $\displaystyle\vec{x}\in\mathbb{Z}^m$ , $\displaystyle\vec{f}\in\left]-\frac12,\frac12\right[^m$ , $\displaystyle\vec{r_i}\in\mathbb{R}^m,\forall i\in I$ , $s\displaystyle _i\in\mathbb{R}_+,\forall i\in I$ ; and where $\displaystyle m=$ nrows and $\displaystyle |I|=$ ncols.

Generated on Mon Oct 26 09:16:48 2009 for MTgomory by

1.4.6


Functions
int	MTt1_ccbk (CPXCENVptr env, void cbdata, int wherefrom, void cbhandle, int *useraction_p)
	Interface for the CPLEX-callback for the MTt1Cut function.
int	MTt1Cut (const MTrowmatrix_t const tb, MTlp_t const lp, MTcutHeap_t const cuth, const double const f, double const extcut, double const work, const int cut_style)
	compute the best cuts found using T1 sets as a base, where $T1_n=\left\{ x\in\mathbb{R}^n: x_i\geq 0, \sum\limits_{i=1}^n x_i\leq n \right\},$ and where we try all possible reorientation of the axis. Note that we assume that all variables are continuous, and that the tableau represent the (vectorial) equation $\vec{x} = \vec{f}+\frac12\vec{1} +\sum\limits_{i\in I}s_i\vec{r_i},$ where $\displaystyle\vec{x}\in\mathbb{Z}^m$ , $\displaystyle\vec{f}\in\left]-\frac12,\frac12\right[^m$ , $\displaystyle\vec{r_i}\in\mathbb{R}^m,\forall i\in I$ , $s\displaystyle _i\in\mathbb{R}_+,\forall i\in I$ ; and where $\displaystyle m=$ nrows and $\displaystyle \|I\|=$ ncols.