Last data update: 2014.03.03
R: Ignizio (1976) Example Data Sets
ignizio.example.3.1 R Documentation
Ignizio (1976) Example Data Sets
Description
The data set that corresponds to Example 3-1
found in Ignizio (1976). These are
examples of goal programming problems solved
using the methods described by author.
Find
{mathbf{x}'} = [ x_1, x_2 ] ,
{mathbf{n}'} = [ n_1, n_2, n_3 ] and
{mathbf{p}'} = [ p_1, p_2, p_3 ] that minimize
mathbf{a} = [ (2 p_1), (n_2), (n_3) ]
The objectives are as follows
10 x_1 + 15 x_2 + n_1 - p_1 = 40
100 x_1 + 100 x_2 + n_2 - p_2 = 1000
x_2 + n_3 - p_3 = 7
mathbf{x}, mathbf{n}, mathbf{p} ≥ mathbf{0}
The solution is {mathbf{x}'} = [ 4, 0 ] and
mathbf{a} = [ 0, 600, 7]
Format
The data set is an R file that creates the coefficients matrix,
the vector of target values and the data frame of achievement
goals.
Author(s)
Frederick Novomestky fnovomes@poly.edu
References
Ignizio, J. P. (1976). Goal Programming and Extensions, Lexington Books.
See Also
ignizio.datasets
Examples
data( ignizio.example.3.1 )
soln <- llgp( coefficients, targets, achievements )
Results