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

Question

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

Quizplus · Accepted Answer

In a minimum cost network flow model, the flow balance constraint for each supply node takes the form of "Flow out = Flow in + Net supply". This equation represents the balance between the amount of flow leaving the supply node and the amount of flow entering the supply node, plus the net supply available at the supply node. Therefore, option D "Flow out 11eaaa34_f6df_bab6_86f9_4b9001898b70_TB2053_11 Flow in + Net supply" is the correct choice. The other options do not represent the correct flow balance constraint for a supply node in a minimum cost network flow model.

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