The LP Procedure
- Overview
-
Getting Started
-
Syntax
-
Details
Missing Values Dense Data Input Format Sparse Data Input Format Converting Any PROC LP Format to an MPS-Format SAS Data Set Converting Standard MPS Format to Sparse Format The Reduced Costs, Dual Activities, and Current Tableau Macro Variable ORLP Pricing Scaling Preprocessing Integer Programming Sensitivity Analysis Range Analysis Parametric Programming Interactive Facilities Memory Management Output Data Sets Input Data Sets Displayed Output ODS Table and Variable Names Memory Limit
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Examples
An Oil Blending Problem A Sparse View of the Oil Blending Problem Sensitivity Analysis: Changes in Objective Coefficients Additional Sensitivity Analysis Price Parametric Programming for the Oil Blending Problem Special Ordered Sets and the Oil Blending Problem Goal-Programming a Product Mix Problem A Simple Integer Program An Infeasible Problem Restarting an Integer Program Alternative Search of the Branch-and-Bound Tree An Assignment Problem A Scheduling Problem A Multicommodity Transshipment Problem with Fixed Charges Converting to an MPS-Format SAS Data Set Migration to OPTMODEL: Assignment Migration to OPTMODEL: Multicommodity Transshipment
- References
| PRINT Statement |
- PRINT options ;
The PRINT statement is useful for displaying part of a solution summary, examining intermediate tableaus, performing sensitivity analysis, and using parametric programming. In the options, the colnames and rownames lists can be empty, in which case the LP procedure displays tables with all columns or rows, or both. If a column name or a row name has spaces or other special characters in it, the name must be enclosed in single or double quotes when it appears in the argument.
The options that can be used with this statement are as follows.
- BEST
displays a Solution, Variable, and Constraint Summary for the best integer solution found.
- COLUMN(colnames) / SENSITIVITY
displays a Variable Summary containing the logical and structural variables listed in the colnames list. If the / SENSITIVITY option is included, then sensitivity analysis is performed on the price coefficients for the listed colnames structural variables.
- INTEGER
displays a Variable Summary containing only the integer variables.
- INTEGER_NONZEROS
displays a Variable Summary containing only the integer variables with nonzero activity.
- INTEGER_ZEROS
displays a Variable Summary containing only the integer variables with zero activity.
- MATRIX(rownames,colnames) / PICTURE
-
displays the submatrix of the matrix of constraint coefficients defined by the rownames and colnames lists. If the / PICTURE option is included, then the formatted submatrix is displayed. The format used is summarized in Table 5.2.
Table 5.2 Format Summary Condition on the Coefficient x
Symbols Printed
abs(x)
=
0
" "
0
<
abs(x)
<
.000001
sgn(x)
"Z"
.000001
abs(x)
<
.00001
sgn(x)
"Y"
.00001
abs(x)
<
.0001
sgn(x)
"X"
.0001
abs(x)
<
.001
sgn(x)
"W"
.001
abs(x)
<
.01
sgn(x)
"V"
.01
abs(x)
<
.1
sgn(x)
"U"
.1
abs(x)
<
1
sgn(x)
"T"
abs(x)
=
1
sgn(x)
"1"
1
<
abs(x)
<
10
sgn(x)
"A"
10
abs(x)
<
100
sgn(x)
"B"
100
abs(x)
<
1000
sgn(x)
"C"
1000
abs(x)
<
10000
sgn(x)
"D"
10000
abs(x)
<
100000
sgn(x)
"E"
100000
abs(x)
<
1.0E06
sgn(x)
"F"
- NONINTEGER
displays a Variable Summary containing only the continuous variables.
- NONINTEGER_NONZEROS
displays a Variable Summary containing only the continuous variables with nonzero activity.
- NONZEROS
displays a Variable Summary containing only the variables with nonzero activity.
- PRICESEN
displays the results of parametric programming for the current value of the PRICEPHI= option, the price coefficients, and all of the price change vectors.
- RANGEPRICE
- RANGERHS
- RHSSEN
displays the results of parametric programming for the current value of the RHSPHI= option, the right-hand-side coefficients, and all of the right-hand-side change vectors.
- ROW(rownames) / SENSITIVITY
displays a constraint summary containing the rows listed in the rowname list. If the / SENSITIVITY option is included, then sensitivity analysis is performed on the right-hand-side coefficients for the listed rownames.
- SOLUTION
displays the Solution Summary, including the Variable Summary and the Constraint Summary.
- TABLEAU
- ZEROS
displays a Variable Summary containing only the variables with zero activity. This may be useful in the analysis of ON/OFF, ZERO/ONE, scheduling, and assignment applications.