1. [20 points] [MID] The subset21 problem is stated as follows. Given a set of N positive integers X = {x1, x2, .. . , xn}. 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 = the set P = {12, 3, 6} is a valid solution for the subset21 problem in this example. {12, 17, 3, 24, 6}, Formulate the subset21 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. • A termination criterion for the evolutionary optimization which insures that you terminate with a valid solution for the subset21 problem if possible without run-

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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Chapter1: Computer Networks And The Internet
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1. [20 points] [MID] The subset21 problem is stated as follows. Given a set of N positive
integers X
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 subset21 problem in this example.
{x1, x2, ..., xm}. Find a subset P of the set X such that the sum of the
Formulate the subset21 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
are solving the above example (i.e. X
you
{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.
• A termination criterion for the evolutionary optimization which insures that you
terminate with a valid solution for the subset21 problem if possible without run-
ning indefinitely.
Transcribed Image Text:1. [20 points] [MID] The subset21 problem is stated as follows. Given a set of N positive integers X 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 subset21 problem in this example. {x1, x2, ..., xm}. Find a subset P of the set X such that the sum of the Formulate the subset21 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 are solving the above example (i.e. X you {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. • A termination criterion for the evolutionary optimization which insures that you terminate with a valid solution for the subset21 problem if possible without run- ning indefinitely.
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