What is the constraint for node 2 in the following shortest path problem? A) −X₁₂ − X₁₃ = 0 B) −X₁₂ − X₂₄ = 1 C) X₁₂ + X₁₃ = 0 D) −X₁₂ + X₂₄ = 0

Question

Quizplus · Accepted Answer

The constraint for node 2 is related to the flow conservation equation, which states that the sum of the inflows and outflows at a node must be equal. In this case, the inflows are represented by X₁₂ (flow from node 1 to node 2) and the outflows are represented by X₂₄ (flow from node 2 to node 4). The constraint for node 2 is therefore: -X₁₂ + X₂₄ = 0, which is option D.

What Is the Constraint for Node 2 in the Following