integerPoints: Integer points in the feasible region (Ax<=b). In gMOIP: Tools for 2D and 3D Plots of Single and Multi-Objective Linear/Integer Programming Models

Description

Integer points in the feasible region (Ax<=b).

Usage

 `1` ```integerPoints(A, b, nonneg = rep(TRUE, ncol(A))) ```

Arguments

 `A` Constraint matrix. `b` Right hand side. `nonneg` A boolean vector of same length as number of variables. If entry k is TRUE then variable k must be non-negative.

Value

A data frame with all integer points inside the feasible region.

Note

Do a simple enumeration of all integer points between min and max values found using the continuous polytope.

Author(s)

Lars Relund lars@relund.dk.

Examples

 ```1 2 3 4 5 6 7``` ```A <- matrix( c(3,-2, 1, 2, 4,-2,-3, 2, 1), nc = 3, byrow = TRUE) b <- c(10, 12, 3) integerPoints(A, b) A <- matrix(c(9, 10, 2, 4, -3, 2), ncol = 2, byrow = TRUE) b <- c(90, 27, 3) integerPoints(A, b) ```

Example output

```Warning messages:
1: In rgl.init(initValue, onlyNULL) : RGL: unable to open X11 display
2: 'rgl.init' failed, running with 'rgl.useNULL = TRUE'.
x1 x2 x3
[1,]  0  0  0
[2,]  1  0  0
[3,]  2  0  0
[4,]  3  0  0
[5,]  0  1  0
[6,]  1  1  0
[7,]  2  1  0
[8,]  3  1  0
[9,]  4  1  0
[10,]  1  2  0
[11,]  2  2  0
[12,]  0  0  1
[13,]  1  0  1
[14,]  2  0  1
[15,]  3  0  1
[16,]  0  1  1
[17,]  1  1  1
[18,]  2  1  1
[19,]  3  1  1
[20,]  1  2  1
[21,]  2  2  1
[22,]  3  2  1
[23,]  0  0  2
[24,]  1  0  2
[25,]  2  0  2
[26,]  1  1  2
[27,]  2  1  2
[28,]  3  1  2
[29,]  1  2  2
[30,]  2  2  2
[31,]  3  2  2
[32,]  4  2  2
[33,]  2  3  2
[34,]  0  0  3
[35,]  1  0  3
[36,]  2  0  3
[37,]  1  1  3
[38,]  2  1  3
[39,]  3  1  3
[40,]  2  2  3
[41,]  3  2  3
[42,]  2  3  3
[43,]  3  3  3
[44,]  1  0  4
[45,]  2  0  4
[46,]  1  1  4
[47,]  2  1  4
[48,]  2  2  4
[49,]  3  2  4
[50,]  3  3  4
[51,]  4  3  4
[52,]  1  0  5
[53,]  2  1  5
[54,]  2  2  5
[55,]  3  2  5
[56,]  3  3  5
[57,]  1  0  6
[58,]  2  1  6
[59,]  3  3  6
[60,]  4  4  6
x1 x2
[1,]  0  0
[2,]  1  0
[3,]  2  0
[4,]  3  0
[5,]  4  0
[6,]  5  0
[7,]  6  0
[8,]  7  0
[9,]  8  0
[10,]  9  0
[11,] 10  0
[12,]  0  1
[13,]  1  1
[14,]  2  1
[15,]  3  1
[16,]  4  1
[17,]  5  1
[18,]  6  1
[19,]  7  1
[20,]  8  1
[21,]  1  2
[22,]  2  2
[23,]  3  2
[24,]  4  2
[25,]  5  2
[26,]  6  2
[27,]  7  2
[28,]  1  3
[29,]  2  3
[30,]  3  3
[31,]  4  3
[32,]  5  3
[33,]  6  3
[34,]  2  4
[35,]  3  4
[36,]  4  4
[37,]  5  4
[38,]  3  5
```

gMOIP documentation built on Aug. 23, 2021, 5:09 p.m.