Class CyclicReversalIndependentDistanceDouble

  • All Implemented Interfaces:

    public final class CyclicReversalIndependentDistanceDouble
    extends Object
    implements PermutationDistanceMeasurerDouble

    This class implements the combination of cyclic independence and reversal independence. This is relevant if any rotation of the permutation or its reverse has the same problem dependent interpretation. For example, if the permutation represents a solution to a traveling salesperson problem (i.e. a tour of a set of cities), then the cost of that tour is the same if you rotate it, reverse it, or reverse it and rotate it.

    In this case, this class computes the minimum of the distance from permutation p1 to rotations of p2 and rotations of the reverse of p2, where the underlying distance measure is passed as a parameter to the constructor.

    • Constructor Detail

      • CyclicReversalIndependentDistanceDouble

        public CyclicReversalIndependentDistanceDouble​(PermutationDistanceMeasurerDouble d)
        Constructs a distance measure for measuring distance with cyclic and reversal independence, such that distance = min_{i in [0,N)} { distance(p1,rotate(p2,i)), distance(p1,rotate(reverse(p2),i)) }
        d - A distance measure.
    • Method Detail

      • distancef

        public double distancef​(Permutation p1,
                                Permutation p2)
        Measures the distance between two permutations, with cyclic and reversal independence: distance = min_{i in [0,N)} { distance(p1,rotate(p2,i)), distance(p1,rotate(reverse(p2),i)) }
        Specified by:
        distancef in interface PermutationDistanceMeasurerDouble
        p1 - first permutation
        p2 - second permutation
        distance between p1 and p2
        IllegalArgumentException - if p1.length() is not equal to p2.length().