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Jan 12, 2017 at 11:50 comment added Abdelmalek Abdesselam @Tom: it doesn't seem like $\Pi$ being a set of permutations plays any role in your problem. Why not just set let $\Pi$ be a finite set etc.?
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Mar 18, 2016 at 5:50 answer added Manfred Weis timeline score: 1
Mar 17, 2016 at 23:35 comment added Tom Solberg @Turbo I'm studying a problem that's distantly related to the Euclidean travelling salesman problem, where the goal is to select an optimal sequence to visit a set of points. I'm interested in determining if it's possible to find a "good solution" by enumerating a set of, say, $(0.9N)!$ permutations, and selecting the best one.
Mar 17, 2016 at 23:25 comment added Turbo @TomSelberg Not easy. Usually one sets a set on which $S_n$ acts and study distances on this set and this seems like permutation codes. There can be other metrics. Unless the set is structured there is literally no hope. Why this problem though? Any reasons you seek? You have added 'optimization-control' tag.
Mar 17, 2016 at 23:05 history asked Tom Solberg CC BY-SA 3.0