Adjacency Distance for Permutations
Bi-directional adjacency distance for permutations, depending on how often two elements are neighbours in both permutations x and y.
distancePermutationAdjacency(x, y)
x |
first permutation (integer vector) |
y |
second permutation (integer vector) |
numeric distance value
d(x,y)
, scaled to values between 0 and 1 (based on the maximum possible distance between two permutations)
Sevaux, Marc, and Kenneth Soerensen. "Permutation distance measures for memetic algorithms with population management." Proceedings of 6th Metaheuristics International Conference (MIC'05). 2005.
Reeves, Colin R. "Landscapes, operators and heuristic search." Annals of Operations Research 86 (1999): 473-490.
x <- 1:5 y <- 5:1 distancePermutationAdjacency(x,y) p <- replicate(10,sample(1:5),simplify=FALSE) distanceMatrix(p,distancePermutationAdjacency)
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