Class WindowLimitedReversalMutation
- All Implemented Interfaces:
Splittable<MutationOperator<Permutation>>
,IterableMutationOperator<Permutation>
,MutationOperator<Permutation>
,UndoableMutationOperator<Permutation>
ReversalMutation
mutation operator
on permutations. A window-limited mutation operator on permutations is a mutation operator such
that there is a window constraint, w, on the random indexes used by the mutation. For a mutation
operator that uses a pair of random indexes, (i, j), these indexes are constrained such that
|i-j| ≤ w. All index pairs that satisfy the window constraint are equally likely.
The runtime (worst case and average case) of both the mutate
and
undo
methods is O(min(n,w)), where n is the length of the permutation.
Since chosen indexes can be no more than w positions apart, at most (w+1) elements are moved.
For further discussion of window limited permutation mutation operators see:
V. A. Cicirello, "On the Effects of Window-Limits on the Distance Profiles of Permutation Neighborhood
Operators," in Proceedings of the 8th International Conference on Bioinspired Information and
Communications Technologies, pages 28-35, December 2014. [PDF] [BIB] [From the ACM Digital Library]
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Constructor Summary
ConstructorDescriptionConstructs a WindowLimitedReversalMutation mutation operator with a default window limit of Integer.MAX_VALUE.WindowLimitedReversalMutation
(int windowLimit) Constructs a WindowLimitedReversalMutation mutation operator. -
Method Summary
Modifier and TypeMethodDescriptionCreates and returns aMutationIterator
that can be used to systematically iterate over all of the direct neighbors (i.e., a single mutation step away) of a candidate solution, as one might do in a hill climber.void
Mutates a candidate solution to a problem, by randomly modifying its state.split()
Generates a functionally identical copy of this object, for use in multithreaded implementations of search algorithms.void
undo
(Permutation c) Returns a candidate solution to its previous state prior to the most recent mutation performed.
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Constructor Details
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WindowLimitedReversalMutation
public WindowLimitedReversalMutation()Constructs a WindowLimitedReversalMutation mutation operator with a default window limit of Integer.MAX_VALUE. -
WindowLimitedReversalMutation
public WindowLimitedReversalMutation(int windowLimit) Constructs a WindowLimitedReversalMutation mutation operator.- Parameters:
windowLimit
- The window limit, which must be positive.- Throws:
IllegalArgumentException
- if windowLimit ≤ 0
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Method Details
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mutate
Description copied from interface:MutationOperator
Mutates a candidate solution to a problem, by randomly modifying its state. The mutant that is produced is in the local neighborhood of the original candidate solution.- Specified by:
mutate
in interfaceMutationOperator<Permutation>
- Parameters:
c
- The candidate solution subject to the mutation. This method changes the state of c.
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undo
Description copied from interface:UndoableMutationOperator
Returns a candidate solution to its previous state prior to the most recent mutation performed.For example, consider the following. Let c' be the current state of c. Let c'' be the state of c after mutate(c); If we then call undo(c), the state of c should revert back to c'.
The behavior of undo is undefined if c is altered by some other process between the calls to mutate and undo. The behavior is also undefined if a different candidate is given to undo then the last given to mutate. For example, if the following two statements are executed, mutate(c); undo(d);, the effect on d is undefined as it wasn't the most recently mutated candidate solution.
- Specified by:
undo
in interfaceUndoableMutationOperator<Permutation>
- Parameters:
c
- The candidate solution to revert.
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split
Description copied from interface:Splittable
Generates a functionally identical copy of this object, for use in multithreaded implementations of search algorithms. The state of the object that is returned may or may not be identical to that of the original. Thus, this is a distinct concept from the functionality of theCopyable
interface. Classes that implement this interface must ensure that the object returned performs the same functionality, and that it does not share any state data that would be either unsafe or inefficient for concurrent access by multiple threads. The split method is allowed to simply return the this reference, provided that it is both safe and efficient for multiple threads to share a single copy of the Splittable object. The intention is to provide a multithreaded search with the capability to provide spawned threads with their own distinct search operators. Such multithreaded algorithms can call the split method for each thread it spawns to generate a functionally identical copy of the operator, but with independent state.- Specified by:
split
in interfaceIterableMutationOperator<Permutation>
- Specified by:
split
in interfaceSplittable<MutationOperator<Permutation>>
- Specified by:
split
in interfaceUndoableMutationOperator<Permutation>
- Returns:
- A functionally identical copy of the object, or a reference to this if it is both safe and efficient for multiple threads to share a single instance of this Splittable object.
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iterator
Creates and returns aMutationIterator
that can be used to systematically iterate over all of the direct neighbors (i.e., a single mutation step away) of a candidate solution, as one might do in a hill climber.The worst case runtime of the
MutationIterator.hasNext()
and theMutationIterator.setSavepoint()
methods of theMutationIterator
created by this method is O(1). The amortized runtime of theMutationIterator.nextMutant()
method is O(1). And the worst case runtime of theMutationIterator.rollback()
method is O(min(n,w)), where n is the length of the Permutation, and w is the window limit.- Specified by:
iterator
in interfaceIterableMutationOperator<Permutation>
- Parameters:
p
- The candidate solution subject to the mutation. Calling methods of theMutationIterator
that is returned changes the state of p. See the documentation of those methods for details of how such changes may occur.- Returns:
- A MutationIterator for iterating over the direct neighbors of c.
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