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The TRANS Procedure |

Let be the
dual variable values of
the source nodes, be the dual
variable values of the destination nodes, and
*c*_{ij} be
the cost of unit flow on the arc between source *i* and
destination *j* . Then

is the reduced cost of the arc between nodes *i* and
*j*.
This is the amount by which the total
cost increases if flow through arc (*ij*) is increased
by one unit.
The total cost decreases by *r*_{ij} if
the flow through arc (*i,j*) is decreased by one unit.
Dual variables are saved in the OUT= data set.

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