Class TwoMaxEqualPeaks
- java.lang.Object
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- org.cicirello.search.problems.TwoMaxEqualPeaks
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- All Implemented Interfaces:
IntegerCostOptimizationProblem<BitVector>
,Problem<BitVector>
public final class TwoMaxEqualPeaks extends Object implements IntegerCostOptimizationProblem<BitVector>
This class implements a variation of the benchmarking problem known as TwoMax. The original TwoMax problem was defined as a problem with one global optima (the vector of all 1-bits) and a sub-optimal local optima (the vector of all 0-bits). For an implementation of the original TwoMax problem, see the
TwoMax
class. In the variation that we define here, we instead have two equally desirable global optima (one of these is the vector of all 1-bits, and the other is the vector of all 0-bits). We define it as follows. Maximize the function: f(x) = |20*CountOfOneBits(x) - 10*n|, where x is a vector of bits of length n. The two global optimal solutions have a maximal value of 10*n. This search landscape has two basins of attraction, which meet where the vector has an equal number of ones as zeros.The
value
method implements the maximization version as described above. The algorithms of the Chips-n-Salsa library are defined for minimization, requiring a cost function. Thecost
method implements the equivalent as the following minimization problem: minimize cost(x) = 10*n - |20*CountOfOneBits(x) - 10*n|. The global optima are still all 1-bits or all 0-bits, each of which has a cost equal to 0.
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Constructor Summary
Constructors Constructor Description TwoMaxEqualPeaks()
Constructs a TwoMaxEqualPeaks object for use in evaluating candidate solutions to the TwoMaxEqualPeaks problem, a variation of the TwoMax problem but with two globally optimal solutions, rather than one global optima and a local optima.
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Method Summary
All Methods Instance Methods Concrete Methods Modifier and Type Method Description int
cost(BitVector candidate)
Computes the cost of a candidate solution to the problem instance.boolean
isMinCost(int cost)
Checks if a given cost value is equal to the minimum theoretical cost across all possible solutions to the problem instance, where lower cost implies better solution.int
minCost()
A lower bound on the minimum theoretical cost across all possible solutions to the problem instance, where lower cost implies better solution.int
value(BitVector candidate)
Computes the value of the candidate solution within the usual constraints and interpretation of the problem.-
Methods inherited from class java.lang.Object
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait
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Methods inherited from interface org.cicirello.search.problems.IntegerCostOptimizationProblem
getSolutionCostPair
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Method Detail
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cost
public int cost(BitVector candidate)
Description copied from interface:IntegerCostOptimizationProblem
Computes the cost of a candidate solution to the problem instance. The lower the cost, the more optimal the candidate solution.- Specified by:
cost
in interfaceIntegerCostOptimizationProblem<BitVector>
- Parameters:
candidate
- The candidate solution to evaluate.- Returns:
- The cost of the candidate solution. Lower cost means better solution.
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minCost
public int minCost()
Description copied from interface:IntegerCostOptimizationProblem
A lower bound on the minimum theoretical cost across all possible solutions to the problem instance, where lower cost implies better solution. The default implementation returns Integer.MIN_VALUE.- Specified by:
minCost
in interfaceIntegerCostOptimizationProblem<BitVector>
- Returns:
- A lower bound on the minimum theoretical cost of the problem instance.
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value
public int value(BitVector candidate)
Description copied from interface:IntegerCostOptimizationProblem
Computes the value of the candidate solution within the usual constraints and interpretation of the problem.- Specified by:
value
in interfaceIntegerCostOptimizationProblem<BitVector>
- Parameters:
candidate
- The candidate solution to evaluate.- Returns:
- The actual optimization value of the candidate solution.
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isMinCost
public boolean isMinCost(int cost)
Description copied from interface:IntegerCostOptimizationProblem
Checks if a given cost value is equal to the minimum theoretical cost across all possible solutions to the problem instance, where lower cost implies better solution.- Specified by:
isMinCost
in interfaceIntegerCostOptimizationProblem<BitVector>
- Parameters:
cost
- The cost to check.- Returns:
- true if cost is equal to the minimum theoretical cost,
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