Does laxing the criterion for a 'neighbour' suffice or is there another standard action to take?
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If all the neighbouring solutions are Tabu it sounds like either the size of your Tabu list is too long or your freeing strategy is too strict. A good Tabu list length is root(n). You could however select the neighbouring solution that is the oldest Tabu or select none of them and continue the search from a different variable.