llgpcptab: Create lexicographical LGP tableau

In goalprog: Weighted and lexicographical goal programming and optimization

Description

This function returns the initial modified simplex tableau as an object of type 'llgpcptab' for a lexicographical linear programming problem with complementary pivoting and for the given objectives and achievement goals

Usage

llgpcptab(coefficients, targets, achievements, variable.classes)

Arguments

coefficients	A matrix with the coefficients of the linear objective functions
targets	A vector of target values for the objective functions
achievements	A data frame with the weights of the deviation variables for each objective along with the corresponding priority level
variable.classes	A data frame that defines the complementarity classes for each of the variables

Details

The modified simplex tableau contains a top stub matrix, a left stub matrix, an elements matrix, index rows and achievement vector as specified in Ignizio (1976). The tableau is augmented with the variable classes frame.

Value

An object of class 'llgpcptab' which is a list with the following named components

iter	Current iteration number initially set to zero
variables	Number of decision variables
levels	Number of priority levels in the achievement function
objectives	Number of objective functions
nonbasics	Number of non basic variables = variables + objectives
level	Current priority level
te	Elements matrix
tb	Vector b initially the target values
tw	Top stub matrix
tu	Left stub matrix
ti	Matrix of index rows
ta	Achievement vector
row.headings	Vector of row headings initially the negative deviation variables
col.headings	Vector of column headings initially the decision and positive deviation variables
variable.classes	Data frame with the complementary classes of the decision variables

Author(s)

Frederick Novomestky [e-mail]

References

Ignizio, J. P. (1976). Goal Programming and Extensions, Lexington Books, D. C. Heath and Company.

Examples

data( ignizio.example.3.3 )
tab <- llgptab( coefficients, targets, achievements )

goalprog documentation built on May 30, 2017, 5:07 a.m.