List I (GA termination criteria) List II (description) A. Worst Individual I. At least half of the individual will be better than or equal to
convergence valueB. Best Individual II. Guarantees that virtually all individuals in the population will
be within a particular fitness rangeC. Sum of Fitness III. Guarantees that the entire population to be of a minimum
standardD. Median Fitness IV. Faster search Convergence, guaranteeing at least one best
solution
Choose the correct answer from the options given below:
A→III, B→IV, C→II, D→I
Matching GA Termination Criteria
Genetic Algorithms (GAs) require specific conditions to know when to stop the search process. These are known as termination criteria. They are crucial for efficiency, ensuring the algorithm halts once a satisfactory solution is found or further progress is unlikely. Below, we match the criteria from List I with their corresponding descriptions in List II.
Detailed Matching Explanation
Understanding how each termination criterion works is key to effectively applying Genetic Algorithms. We analyze each pair based on the provided correct answer:
| List I: Criterion | List II: Description | Explanation |
|---|---|---|
| A. Worst Individual | III. Guarantees that the entire population to be of a minimum standard | This criterion checks the fitness of the worst individual (the one with the lowest fitness score) in the current population. If this individual meets or exceeds a predefined minimum standard, it implies all other individuals are also at least that good. Therefore, it guarantees the entire population has reached a minimum quality level. |
| B. Best Individual | IV. Faster search Convergence, guaranteeing at least one best solution | Here, the focus is on the best individual (the one with the highest fitness score) found so far. The algorithm might stop if this best individual hasn't improved for a set number of generations or if a target fitness is achieved. This promotes faster convergence by ensuring that a high-quality solution is identified and potentially stopping the search once it's secured. |
| C. Sum of Fitness | II. Guarantees that virtually all individuals in the population will be within a particular fitness range | The Sum of Fitness criterion involves adding up the fitness scores of all individuals in the population. If this total sum reaches a specific target value, it indicates a high level of overall population fitness. This suggests that most, if not all, individuals possess good fitness scores, meaning the population has likely converged to a region where solutions are generally strong, falling within a desirable fitness range. |
| D. Median Fitness | I. At least half of the individuals will be better than or equal to convergence value | This criterion uses the Median Fitness, which is the fitness score of the middle individual when the population is ranked by fitness. If the median fitness reaches the specified convergence value, it confirms that at least 50% of the population (the median and all fitter individuals) meets or exceeds this standard. This ensures a significant portion of the population has converged sufficiently. |
Correct Answer Summary
Based on the analysis, the correct matches are:
- A → III
- B → IV
- C → II
- D → I
These termination criteria help manage the GA's execution, balancing the need for thorough exploration with the goal of efficient convergence to optimal or near-optimal solutions.
Important Questions from Genetic Algorithms
- Which of the followings is Not a parent selection technique used in genetic algorithm implementations
- Consider the following steps involved in the application of Genetic algorithm for a problem
A. Select a pair of parents from the population
B. Apply mutation at each locus with probability $p_m$
C. Calculate fitness of each member of the population
D. Apply crossover with probability $p_c$ to form offsprings
Choose the correct answer from the options given below describing the correct order of the above steps:
