1. [20 points][MID] The subseta problem is stated as follows. Given a set of N positive integers X {z1,72, ...,}. Find a subset P of the set X such that the sum of the elements of P is equal to 21....


1. [20 points][MID] The subseta problem is stated as follows. Given a set of N positive<br>integers X {z1,72, ...,}. Find a subset P of the set X such that the sum of the<br>elements of P is equal to 21. For example, if N=5 and the set X = {12, 17, 3, 24, 6},<br>the set P= {12,3, 6} is a valid solution for the subseta problem in this example.<br>Formulate the subsety problem as a Genetic or Evolutionary Algorithm optimization.<br>You may use binary representation, OR any representation that you think is more<br>appropriate. you should specify:<br>• A fitness function. Give 3 examples of individuals and their fitness values if you<br>are solving the above example (i.e. X = {12, 17, 3, 24, 6}).<br>• A set of mutation and/or crossover and/or repair operators. Intelligent operators<br>that are suitable for this particular domain will earn more credit.<br>• termination criterion for the evolutionary optimization which insures that you<br>terminate with a valid solution for the subseta problem if possible without run-<br>ning indefinitely.<br>

Extracted text: 1. [20 points][MID] The subseta problem is stated as follows. Given a set of N positive integers X {z1,72, ...,}. Find a subset P of the set X such that the sum of the elements of P is equal to 21. For example, if N=5 and the set X = {12, 17, 3, 24, 6}, the set P= {12,3, 6} is a valid solution for the subseta problem in this example. Formulate the subsety problem as a Genetic or Evolutionary Algorithm optimization. You may use binary representation, OR any representation that you think is more appropriate. you should specify: • A fitness function. Give 3 examples of individuals and their fitness values if you are solving the above example (i.e. X = {12, 17, 3, 24, 6}). • A set of mutation and/or crossover and/or repair operators. Intelligent operators that are suitable for this particular domain will earn more credit. • termination criterion for the evolutionary optimization which insures that you terminate with a valid solution for the subseta problem if possible without run- ning indefinitely.

Jun 10, 2022
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