distancePermutationInterchange {CEGO}

Interchange Distance for Permutations

Description

The interchange distance is an edit-distance, counting how many edit operation (here: interchanges, i.e., transposition of two arbitrary elements) have to be performed to transform permutation x into permutation y.

Usage

distancePermutationInterchange(x, y)

Arguments

x

first permutation (integer vector)

y

second permutation (integer vector)

Value

numeric distance value

d(x,y)

, scaled to values between 0 and 1 (based on the maximum possible distance between two permutations)

References

Schiavinotto, Tommaso, and Thomas Stuetzle. "A review of metrics on permutations for search landscape analysis." Computers & operations research 34.10 (2007): 3143-3153.

Examples

x <- 1:5
y <- c(1,4,3,2,5)
distancePermutationInterchange(x,y)
p <- replicate(10,sample(1:5),simplify=FALSE)
distanceMatrix(p,distancePermutationInterchange)