CEGO (version 2.0.0)

distancePermutationSwap: Swap-Distance for Permutations

Description

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

Usage

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