A delete relaxed plan solving the TSP can have more than one drive(Sydney, Adelaide) action

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BlackTom AI · Accepted Answer

Re-stating the question and options: The statement asks whether a delete relaxed plan solving the TSP can include more than one drive(Sydney, Adelaide) action. The options are: True or False.

Option 1 (True): In a delete-relaxed planning framework, we ignore delete effects, and the planner builds a plan to achieve all subgoals (e.g., visiting cities) by sequencing actions that can be repeated if needed. Since the relaxed plan focuses on achieving the goal rather than maintaining a strict unique-path constraint, it is possible for the same drive action (Sydney → Adelaide) to appear multiple times in the plan if those repeated moves help satisfy different subgoals or subgoals that require returning or traversing that edge again. There’s no mechanism in the relaxed model that forbids duplicating an identical action, so having more than one instance of drive(Sydney, Adelaide) can occur.

Option 2 (False): This would claim that the plan cannot include more than one drive(Sydney, Adelaide) action. This is inconsistent with how delete-relaxed planning operates, because the relaxation removes delete effects and does not impose a uniqueness constraint on actions. Duplicates of the same action are not prevented by the relaxation, and the planner may choose to include multiple identical moves if they help satisfy all subgoals. Therefore, asserting that you cannot have more than one such action is incorrect.

Additional nuances: Even though a plan could be designed to minimize duplicate moves, the existence of a valid relaxed plan does not prohibit duplicates; the key point is that duplicates are not logically forbidden by the relaxed framework. The question is about possibility, not about optimality or necessity.

Summary of reasoning for each option:
- True: Correct because the delete-relaxed model permits repeated actions and there is no constraint preventing multiple identical drives, so a plan solving TSP could include several drive(Sydney, Adelaide) steps.
- False: Incorrect because it asserts a restriction that the relaxed framework does not impose; duplicates are allowed and can appear in a valid relaxed plan.

COMP90054_2025_SM2 Week 5 - Delete Relaxations

A delete relaxed plan solving the TSP can have more than one drive(Sydney, Adelaide) action

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