In a general logistics model that minimizes the cost of network flow,the flow balance constraint for each supply node has 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 general logistics model that minimizes the cost of network flow,the flow balance constraint for each supply node has 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

The flow balance constraint for each supply node in a logistics model that minimizes the cost of network flow is given by:

Flow out ≤ Flow in + Net supply

This is because the flow out from a node cannot exceed the flow in plus the net supply at that node. If the flow out is greater than the flow in plus the net supply, it would mean that there is more demand at that node than the available supply, which is not feasible.

In a General Logistics Model That Minimizes the Cost of Network