 All Implemented Interfaces:
IntegerCostOptimizationProblem<BitVector>
,Problem<BitVector>
The OneMaxAckley class is an implementation of the wellknown OneMax problem, often used in benchmarking genetic algorithms and other metaheuristics. Specifically, it implements Ackley's (1985) original version of the problem.
In the OneMax problem, the metaheuristic is searching the space of bitstrings of length n for the bitstring with the most bits equal to a 1. It originated as a test problem for genetic algorithms, where the standard form of a genetic algorithm represents solutions to the problem with a string of bits. The OneMax problem offers a test problem with a known optimal solution, a bitstring of all 1s. For example, if n=8, then the optimal solution is: 11111111. The OneMax problem has no local optima, and thus should be trivially easy for hill climbers.
It was originally posed as a maximization problem because
it was originally defined as a fitness function for a genetic algorithm.
The problem was originally stated to maximize f(x) = 10 * CountOfOneBits(x),
where x is a vector of bits of length n.
The value
method returns 10 times the number
of bits in the BitVector equal to 1, which is to be maximized. Thus, as
a cost function, the cost
method returns 10 times the number
of bits not equal to 1, where the minimum cost is thus 0, corresponding
to the case of maximal number of 1bits.
The ChipsnSalsa library also includes a version that is a simple
count of the bits without the multiplication by 10 in the OneMax
class.
Although commonly used by others without reference, the OneMax problem
was introduced by David Ackley in the following paper:
David H. Ackley. A connectionist algorithm for genetic search. Proceedings of
the First International Conference on Genetic Algorithms and Their Applications,
pages 121135, July 1985.

Constructor Summary
ConstructorDescriptionConstructs a OneMaxAckley object for use in evaluating candidate solutions to the OneMax problem. 
Method Summary
Modifier and TypeMethodDescriptionint
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
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
Methods inherited from interface org.cicirello.search.problems.IntegerCostOptimizationProblem
costAsDouble, getSolutionCostPair

Constructor Details

OneMaxAckley
public OneMaxAckley()Constructs a OneMaxAckley object for use in evaluating candidate solutions to the OneMax problem.


Method Details

cost
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.

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.

value
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.

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,
