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Roulette-wheel selection

Roulette-wheel selection is an evolutionary selection technique that assigns candidates probabilities proportional to their fitness, typically giving lower-fitness candidates nonzero probabilities.

How 4 Manning books explain it

Optimization Algorithms: AI techniques for design, planning, and control problems

A fitness-proportionate selection method that gives higher-selection-probability individuals with better fitness values.

How it is used
Chooses genetic-algorithm parents with probabilities proportional to chromosome fitness instead of giving every candidate an equal chance.
How deep it goes
Works through normalization and cumulative sampling, then implements repeated parent draws in Python; does not develop a formal analysis.
Examples
Uses five ticket-price candidates, two random draws, cumulative-probability tables, and a Python parent-selection function.
What you can do after
Build it from scratch as a Python parent selector and substitute it for equal-chance sampling in a genetic algorithm.

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Advanced Algorithms and Data Structures

Roulette wheel selection is a genetic-algorithm technique that assigns each individual a selection probability proportional to its fitness.

How it is used
Uses fitness-weighted probability to select genetic-algorithm individuals for mating.
How deep it goes
Explains cumulative-wheel construction and fitness ratios, but does not provide the complete selection loop.
Examples
Applies the technique to a 0-1 knapsack population and illustrates its cumulative-percentage array.
What you can do after
Apply it by constructing cumulative fitness boundaries for weighted population selection.

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Grokking AI Algorithms, Second Edition

Roulette-wheel selection is a probabilistic evolutionary selection technique that assigns larger selection probabilities to higher-fitness candidates while retaining nonzero probabilities for lower-fitness candidates.

How it is used
Selects evolutionary-algorithm parents or probabilistic next moves while balancing fitness preference with continued variation.
How deep it goes
Explains the wheel analogy, fitness normalization, cumulative intervals, random spins, repeated selection, and a Python implementation.
Examples
Uses casino-wheel slices, fitness-based parent selection, Python listings, and probabilistic attraction visits by ants.
What you can do after
Build it from scratch by converting fitness values into cumulative probability slices and sampling candidates with random numbers.

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Classic Computer Science Problems in Swift: Essential techniques for practicing programmers

A genetic algorithm selection technique that chooses chromosomes with probabilities proportional to their fitness.

How it is used
Uses fitness-proportionate choice to select genetic-algorithm parents for reproduction.
How deep it goes
Defines the method and shows its Swift picker, probability construction, and integration with parent reproduction.
Examples
Demonstrates normalized fitness shares, cumulative random selection, and configurable roulette-based parent picking.
What you can do after
Build it from scratch as a configurable parent-selection strategy in a generic genetic algorithm.

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Related concepts

These guides are generated from the text of Manning books by Manning's knowledge graph and link to the sections they draw on. The full books are available on liveBook and at manning.com.