For NPSC problems, the procedure determines the flow that should pass through each arc as well as the value that should be assigned to each nonarc variable. The goal is that the minimum flow bounds, capacities, lower and upper value bounds, and side constraints are not violated. This goal is reached when total cost incurred by such a flow pattern and value assignment is feasible and optimal. The solution found must also conserve flow at each node.
For LP problems, the procedure determines the value that should be assigned to each variable. The goal is that the lower and upper value bounds and the constraints are not violated. This goal is reached when the total cost incurred by such a value assignment is feasible and optimal.
The CONOUT= data set can be produced and contains a solution obtained after performing optimization.
The variables in the CONOUT= data set depend on whether or not the problem has a network component. If the problem has a network component, the variables and their possible values in an observation are as follows:
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a tail node of an arc. This is a missing value if an observation has information about a nonarc variable. |
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a head node of an arc. This is a missing value if an observation has information about a nonarc variable. |
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the cost of an arc or the objective function coefficient of a nonarc variable |
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the capacity of an arc or upper value bound of a nonarc variable |
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the lower flow bound of an arc or lower value bound of a nonarc variable |
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a name of an arc or nonarc variable |
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the supply of the tail node of the arc in the observation. This is a missing value if an observation has information about a nonarc variable. |
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the demand of the head node of the arc in the observation. This is a missing value if an observation has information about a nonarc variable. |
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the flow through the arc or value of the nonarc variable |
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flow cost, the product of |
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the reduced cost of the arc or nonarc variable |
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the number of the arc (positive) or nonarc variable (nonpositive); used for warm starting PROC NETFLOW |
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the number of the tail node in the network basis spanning tree; used for warm starting PROC NETFLOW |
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the status of the arc or nonarc variable |
If the problem does not have a network component, the variables and their possible values in an observation are as follows:
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the objective function coefficient of a variable |
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the upper value bound of a variable |
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the lower value bound of a variable |
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the name of a variable |
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the value of the variable |
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objective function value for that variable; the product of |
The variables present in the ARCDATA= data set are present in a CONOUT= data set. For example, if there is a variable called tail in the ARCDATA= data set and you specified the SAS variable list
from tail;
then tail is a variable in the CONOUT= data sets instead of _FROM_. Any ID list variables also appear in the CONOUT= data sets.
The MPSOUT= data set contains problem data converted from a PROC INTPOINT format into an MPS-format SAS data set. The six fields, FIELD1 to FIELD6, in the MPSOUT= data set correspond to the six columns in MPS standard. For more information about the MPS-format SAS data
set, see Chapter 15: The MPS-Format SAS Data Set in SAS/OR 12.1 User's Guide: Mathematical Programming.