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I do not have the math to verify or disprove immediately. And will not take the time to brush up. I will let the it up to the Wikipedians.
Origin, history and contribution
editThere is a need to confirm the origin of VNS metaheuristics. The ideas of VNS are actually quite old as also mentioned in this book: Rothlauf F (2011). Design of modern heuristics: principles and application. Springer Science & Business Media, pp 134-139.
Further, the following sentences conflict each other in the current version and requires a correction:
"Variable neighborhood search (VNS),[1] proposed by Mladenović, Hansen, 1997,[2] is...."
"According to (Mladenovic, 1995), VNS is a metaheuristic which....."