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Sep 22, 2021 at 10:48 comment added YcK NFL is the part of the explanation which refers that 2-opt heuristic cannot achieve the optimal solution for each kind of TSP, also does not give the guarantee that " better initial solution always a better final solution" for all TSP instances, the algorithm can have stagnation or can convergence to the same point with or without 2-opt for one of the TSP instances.
Sep 22, 2021 at 10:37 comment added maxmitz The No Free Luch theorem holds for every kind of optimisation problem. I asked especially for the TSP. The TSP is one specific optimisation algorithm. I think at this point the argument is not conclusive.
Sep 22, 2021 at 8:56 history answered YcK CC BY-SA 4.0