What is the purpose of the weight table in the procedure?

Conditions

• Use a set of candidate weights $w_1$.
• Compute $J$ for each weight.
• Record the resulting solution’s $OBJ_1$ and $OBJ_2$ values.

Reasoning, step by step

1. List different values for $w_1$ in the table.
2. Remember that the second weight is $1-w_1$.
3. Compute $J$ as a weighted sum for each row.
4. Record the corresponding $OBJ_1$ and $OBJ_2$ values for the solution found.

Example

The lower-left table has headers $w_1$, $J$, $OBJ_1$, $OBJ_2$ and visible $w_1$ values .99, .9, .75, .5, .25, .1. The lecturer says the basis is to start with a table listing different values for $w_1$, remembering that $w_2$ is $1-w_1$, and then computing $J$ as a weighted sum.

Common misconceptions

• Assuming the table cells are pre-filled with numerical answers in the video.
• Thinking the table is used to store the final Pareto front directly without computing $J$ first.

Watch the explanation

Explore next

• How does varying the weight $w_1$ affect the resulting solution?
• What does the purple curve in the OBJ_1-OBJ_2 graph represent?
• What is the mathematical definition of the weighted-sum scalarization for two objectives?