The LP Procedure
- Overview
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Getting Started
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Syntax
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DetailsMissing ValuesDense Data Input FormatSparse Data Input FormatConverting Any PROC LP Format to an MPS-Format SAS Data SetConverting Standard MPS Format to Sparse FormatThe Reduced Costs, Dual Activities, and Current TableauMacro Variable _ORLP_PricingScalingPreprocessingInteger ProgrammingSensitivity AnalysisRange AnalysisParametric ProgrammingInteractive FacilitiesMemory ManagementOutput Data SetsInput Data SetsDisplayed OutputODS Table and Variable NamesMemory Limit
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ExamplesAn Oil Blending ProblemA Sparse View of the Oil Blending ProblemSensitivity Analysis: Changes in Objective CoefficientsAdditional Sensitivity AnalysisPrice Parametric Programming for the Oil Blending ProblemSpecial Ordered Sets and the Oil Blending ProblemGoal-Programming a Product Mix ProblemA Simple Integer ProgramAn Infeasible ProblemRestarting an Integer ProgramAlternative Search of the Branch-and-Bound TreeAn Assignment ProblemA Scheduling ProblemA Multicommodity Transshipment Problem with Fixed ChargesConverting to an MPS-Format SAS Data SetMigration to OPTMODEL: AssignmentMigration to OPTMODEL: Multicommodity Transshipment
- References
RANGE Statement
RANGE variable ;
For the dense input format, the RANGE statement identifies the variable in the problem data set that contains the range coefficients.
These coefficients enable you to specify the feasible range of a row. For example, if the 
th row is
![\[ a^ Tx \leq b_ i \]](images/ormplpug_lp0054.png){kind=small} |
and the range coefficient for this row is 
, then all values of 
that satisfy
![\[ b_ i-r_ i\leq a^ Tx \leq b_ i \]](images/ormplpug_lp0056.png){kind=small} |
are feasible for this row. Table 6.3 shows the bounds on a row as a function of the row type and the sign on a nonmissing range coefficient 
.
Table 6.3: Interpretation of the Range Coefficient
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Bounds |
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_TYPE_ |
Lower |
Upper |
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LE |
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GE |
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EQ |
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EQ |
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If you include a range variable in the model and have a missing value or zero for it in a constraint row, then that constraint is treated as if no range variable had been included.
If the RANGE statement is omitted, the LP procedure assumes that the variable named _RANGE_ contains the range coefficients.
For the sparse input format, the RANGE statement gives the name of a column in the problem data set that contains the range
constants. If the RANGE statement is omitted, then the LP procedure assumes that the column named _RANGE_ or the column with the 'RANGE' keyword in the problem data set contains the range constants.