In a minimum cost network flow model,the flow balance constraint for each demand node takes the form
A)Flow out Flow in + Net supply
B)Flow in Flow out + Net demand
C)Flow in = Flow out
D)Flow in Flow out + Net demand
E)Flow out Flow in + Net demand

Question

In a minimum cost network flow model,the flow balance constraint for each demand node takes the form
A)Flow out Flow in + Net supply 
B)Flow in Flow out + Net demand 
C)Flow in = Flow out 
D)Flow in Flow out + Net demand 
E)Flow out Flow in + Net demand

Quizplus · Accepted Answer

In a minimum cost network flow model, the flow balance constraint for each demand node takes the form of Flow in = Flow out + Net demand. This is because each demand node requires a certain amount of flow (demand) and the flow into the node must equal the flow out of the node plus the net demand. Therefore, Choice B is the correct option. The other options do not accurately represent the flow balance constraint for demand nodes in this type of model.

In a Minimum Cost Network Flow Model,the Flow Balance Constraint