What is the difference between backtracking and branch and bound in this clip?

Conditions

• Applied to a state-space tree for job sequencing.
• The comparison is about exploration order, not about bounding rules or cost evaluation.

Reasoning, step by step

1. Identify the search strategy for backtracking: it goes to the next level along a chosen branch.
2. Identify the search strategy for branch and bound: it considers the second, third, and fourth job at the current level.
3. Summarize the distinction: backtracking is depth-first search, and branch and bound is breadth-first search.

Example

The instructor explicitly states, "So the difference between backtracking and branch and bound is backtracking was depth first search and the branch and bound is breadth first search."

Common misconceptions

• Assuming branch and bound always follows depth-first search like backtracking.
• Confusing the exploration order with the bounding or cost evaluation rules.

Watch the explanation

Explore next

• How is the state-space tree expanded level by level in this example?
• What does a root-to-node path mean in the job-sequencing tree?
• Why does this lecture say branch and bound is breadth-first rather than depth-first?