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What does a root-to-node path mean in the job-sequencing tree?

A path from the root records the ordered partial sequence of chosen jobs. Following a route in the drawn tree corresponds to selecting the jobs along that route in order; for example, the route using J1J_1 then J4J_4 means doing job 1 and job 4 and not taking jobs 2 and 3 along that partial path.

Conditions

  • The tree is the job-sequencing state-space tree drawn on the board.
  • Each edge label indicates appending one job to the current partial sequence.

Reasoning, step by step

  1. Identify the path from the root to a specific node.
  2. Read the edge labels along the path in order.
  3. Interpret the sequence of labels as the partial job sequence being considered.
  4. Note that jobs not on the path are not taken along that route.

Example

The instructor states, "So if I follow one of the route, it says that I am doing first job and fourth job. I am not taking second and third job. That is the meaning."

Common misconceptions

  • Misreading a partial path as a complete schedule that implies all jobs have been handled.
  • Assuming the order of jobs on the path does not matter.

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Answers are generated from source material and independently checked. Consult the original video or creator if something is unclear.