Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Backtrack-style exhaustive search algorithms for NP-hard problems#R##N#tend to have large variance in their runtime. This is because ``fortunate''#R##N#branching decisions can lead to finding a solution quickly, whereas#R##N#``unfortunate'' decisions in another run can lead the algorithm to#R##N#a region of the search space with no solutions. In the literature,#R##N#frequent restarting has been suggested as a means to overcome this#R##N#problem.#R##N#,  propose a more sophisticated approach: a best-first-search heuristic#R##N#to quickly move beten parts of the search space, always concentrating#R##N#on the most promising region.  describe how this idea can be efficiently#R##N#incorporated into a backtrack search algorithm, without#R##N#sacrificing optimality. Moreover,  demonstrate#R##N#empirically that, for hard solvable problem instances, the new approach#R##N#provides significantly higher speed-up than frequent restarting.
['Zoltán Ádám Mann', 'Tamas Szep']
I am writing a research paper on a idea Accelerating backtrack search with a best-first-search strategy
[{"from": "human", "value": "I am writing a research paper on a idea Accelerating backtrack search with a best-first-search strategy"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Backtrack-style exhaustive search algorithms for NP-hard problems#R##N#tend to have large variance in their runtime. This is because ``fortunate''#R##N#branching decisions can lead to finding a solution quickly, whereas#R##N#``unfortunate'' decisions in another run can lead the algorithm to#R##N#a region of the search space with no solutions. In the literature,#R##N#frequent restarting has been suggested as a means to overcome this#R##N#problem.#R##N#,  propose a more sophisticated approach: a best-first-search heuristic#R##N#to quickly move beten parts of the search space, always concentrating#R##N#on the most promising region.  describe how this idea can be efficiently#R##N#incorporated into a backtrack search algorithm, without#R##N#sacrificing optimality. Moreover,  demonstrate#R##N#empirically that, for hard solvable problem instances, the new approach#R##N#provides significantly higher speed-up than frequent restarting."}]