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Genetic Algorithms By Anas Amjad Obeidat Advanced Algorithms 02 Semester 2 - 2008/2009 March 18 - 2009
Overview ,[object Object],[object Object],[object Object],[object Object],[object Object],Semester 2 - 2008/2009 March 18 - 2009
Introduction To Genetic Algorithms (GAs)  Semester 2 - 2008/2009 March 18 - 2009
History Of Genetic Algorithms ,[object Object],[object Object],[object Object],Semester 2 - 2008/2009 March 18 - 2009
What Are GAs? ,[object Object],Semester 2 - 2008/2009 March 18 - 2009
Principle Of Natural Selection ,[object Object],Semester 2 - 2008/2009 March 18 - 2009
GAs Vs other search methods ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Semester 2 - 2008/2009 March 18 - 2009
Applications of GAs ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Semester 2 - 2008/2009 March 18 - 2009
[object Object],Semester 2 - 2008/2009 March 18 - 2009
Computational Model ,[object Object],Semester 2 - 2008/2009 March 18 - 2009
Working Mechanism Of GAs Begin Initialize population Optimum Solution? T=T+1 Selection Crossover Mutation  N Evaluate Solutions Y Stop T =0 Semester 2 - 2008/2009 March 18 - 2009
Simple Genetic Algorithm ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Semester 2 - 2008/2009 March 18 - 2009
Nature to Computer Mapping Semester 2 - 2008/2009 March 18 - 2009 Nature Computer Population Individual Fitness Chromosome Gene Reproduction Set of solutions. Solution to a problem. Quality of a solution. Encoding for a Solution. Part of the encoding of a solution. Crossover
GA Operators and Parameters Semester 2 - 2008/2009 March 18 - 2009
Encoding ,[object Object],[object Object],[object Object],Semester 2 - 2008/2009 March 18 - 2009
Fitness Function ,[object Object],[object Object],[object Object],[object Object],Semester 2 - 2008/2009 March 18 - 2009
Recombination ,[object Object],[object Object],[object Object],[object Object],Semester 2 - 2008/2009 March 18 - 2009
Recombination(Cont.) ,[object Object],[object Object],[object Object],Semester 2 - 2008/2009 March 18 - 2009
Roulette Wheel Selection ,[object Object],[object Object],[object Object],[object Object],Semester 2 - 2008/2009 March 18 - 2009
Example Of Roulette Wheel Selection Semester 2 - 2008/2009 March 18 - 2009 No. String Fitness % Of Total 1 01101 169 14.4 2 11000  576 49.2 3 01000 64  5.5 4 10011 361 30.9 Total 1170 100.0
Roulette Wheel For Example Semester 2 - 2008/2009 March 18 - 2009
Crossover ,[object Object],[object Object],[object Object],Semester 2 - 2008/2009 March 18 - 2009
Crossover Methods ,[object Object],Semester 2 - 2008/2009 March 18 - 2009 Chromosome1 11011 | 00100110110 Chromosome 2 11011 | 11000011110 Offspring 1 11011   |   11000011110 Offspring 2 11011  |   00100110110
Crossover  Methods (contd.) ,[object Object],NOTE: These chromosomes are different from the last example. Semester 2 - 2008/2009 March 18 - 2009 Chromosome1 11011 | 00100 | 110110 Chromosome 2 10101 | 11000 | 011110 Offspring 1 10101  |   00100   |   011110 Offspring 2 11011  |   11000   |   110110
Crossover Methods (contd.) ,[object Object],NOTE: Uniform Crossover yields ONLY 1 offspring. Semester 2 - 2008/2009 March 18 - 2009 Chromosome1 11011 | 00100 | 110110 Chromosome 2 10101 | 11000 |  011110 Offspring  101 11  |   00 00 0   |   110 110
Crossover (contd.) ,[object Object],[object Object],[object Object],Semester 2 - 2008/2009 March 18 - 2009
Elitism ,[object Object],[object Object],[object Object],[object Object],Semester 2 - 2008/2009 March 18 - 2009
Mutation ,[object Object],[object Object],[object Object],Semester 2 - 2008/2009 March 18 - 2009
Example Of Mutation ,[object Object],NOTE: The number of bits to be inverted depends on the Mutation Probability. Semester 2 - 2008/2009 March 18 - 2009 Offspring 1101 1  00100 1 1 0110 Mutated Offspring 1101 0  00100 1 0 0110
Advantages Of GAs ,[object Object],Semester 2 - 2008/2009 March 18 - 2009
Advantages of GAs (contd.) ,[object Object],Semester 2 - 2008/2009 March 18 - 2009
Advantages of GAs (contd.) ,[object Object],[object Object],Semester 2 - 2008/2009 March 18 - 2009
Advantages of GAs (contd.) ,[object Object],Semester 2 - 2008/2009 March 18 - 2009
Genetic Algorithms To Solve The Traveling Salesman Problem (TSP) Semester 2 - 2008/2009 March 18 - 2009
The Problem ,[object Object],[object Object],[object Object],Semester 2 - 2008/2009 March 18 - 2009
Encoding ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Semester 2 - 2008/2009 March 18 - 2009
Encoding (contd.) ,[object Object],[object Object],[object Object],Semester 2 - 2008/2009 March 18 - 2009
Fitness Function ,[object Object],[object Object],[object Object],Semester 2 - 2008/2009 March 18 - 2009
Distance/Cost Matrix For TSP Cost matrix for six city example.  Distances in Kilometers Semester 2 - 2008/2009 March 18 - 2009 Amman 1 Irbid 2 Al-Mafraq 3 Al-Salt 4 Al-Aqabah 5 Al-Karak 6 Amman [1] 0 90 100 35 300 200 Irbid [2] 90 0 60 120 400 290 Al-Mafraq [3] 100 60 0 70 480 225 Al-Salt [4] 35 120 70 0 320 150 Aqabah [5] 300 400 480 320 0 290 Al-Karak [6] 200 290 225 150 290 0
Fitness Function (contd.) ,[object Object],[object Object],[object Object],[object Object],Semester 2 - 2008/2009 March 18 - 2009
Selection Operator ,[object Object],[object Object],[object Object],Semester 2 - 2008/2009 March 18 - 2009
Why we can’t use single-point ,[object Object],[object Object],Semester 2 - 2008/2009 March 18 - 2009 4 1 3 2 5 6 4 3 2 1 5 6 4 1 3 1 5 6 4 3 2 2 5 6
Order 1 crossover ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Semester 2 - 2008/2009 March 18 - 2009
Order 1 crossover example ,[object Object],[object Object],Semester 2 - 2008/2009 March 18 - 2009
Mutation Operator ,[object Object],[object Object],Semester 2 - 2008/2009 March 18 - 2009 4 1 3 2 5 6 4 5 3 2 1 6
TSP Example: details (1) ,[object Object],[object Object],Fitness Function:  Minimum Distance between Cites Semester 2 - 2008/2009 Termination Condition: Generation 3 March 18 - 2009
TSP Example: details (2) ,[object Object],[object Object],Semester 2 - 2008/2009 The Winners P1 & P3 Table 1 March 18 - 2009 Nodes Solution Notes P1 2  1  |  3  4  5  | 6 P3 1  4  |  3  2  6  | 5 S1 2  6  |  3  4  5  | 1 5 1 4 3 2 6 (Order 1) S2 4  5  |  3  2  6  | 1 6 2 1 3 4 5  (Order 1)
TSP Example: details (3) ,[object Object],[object Object],[object Object],The Winners P1 & P2 Table 2 Semester 2 - 2008/2009 March 18 - 2009 Nodes Solution Notes P1 2  1  |  3  4  5  | 6 P3 1  4  |  3  2  6  | 5 S1 2  6  |  3  4  5  | 1 1 2 6 (Order 1) S2 4  5  |  3  2  6  | 1 1 4 5  (Order 1)
TSP Example: details (4) ,[object Object],[object Object],[object Object],[object Object],[object Object],The Winners P1 & P2 We Find that  Optimal solution is a P2  Depends on Generation #3 Semester 2 - 2008/2009 March 18 - 2009
8-queens  Problem Semester 2 - 2008/2009 March 18 - 2009
8-queens ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Semester 2 - 2008/2009 March 18 - 2009
8-queens: (a) Initialization ,[object Object],[object Object],[object Object],[object Object],[object Object],Semester 2 - 2008/2009 March 18 - 2009
8-queens: (b) Fitness Evaluation ,[object Object],[object Object],Semester 2 - 2008/2009 March 18 - 2009
8-queens: (b) Fitness Evaluation ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Semester 2 - 2008/2009 March 18 - 2009
8-queens: (b) Fitness Evaluation ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Semester 2 - 2008/2009 March 18 - 2009
8-queens: (c) Selection ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Semester 2 - 2008/2009 March 18 - 2009
8-queens: (c) Selection ,[object Object],[object Object],[object Object],[object Object],[object Object],Semester 2 - 2008/2009 March 18 - 2009
8-queens: (c) Selection ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Semester 2 - 2008/2009 March 18 - 2009
8-queens: (d) Crossover ,[object Object],[object Object],[object Object],Semester 2 - 2008/2009 March 18 - 2009
8-queens: (d) Crossover ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Semester 2 - 2008/2009 March 18 - 2009
v 1 ' v 2 ' v 1 '' v 2 '' Semester 2 - 2008/2009 March 18 - 2009
8-queens: (e) Mutation ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Semester 2 - 2008/2009 March 18 - 2009
8-queens: (e) Mutation ,[object Object],[object Object],[object Object],[object Object],[object Object],Semester 2 - 2008/2009 March 18 - 2009
8-queens: (e) Mutation ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Semester 2 - 2008/2009 March 18 - 2009
8-queens: A Summary Semester 2 - 2008/2009 March 18 - 2009
Summary Semester 2 - 2008/2009 March 18 - 2009
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Semester 2 - 2008/2009 Summary March 18 - 2009
References ,[object Object],[object Object],[object Object],[object Object],[object Object],Semester 2 - 2008/2009 March 18 - 2009
References (contd.) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Semester 2 - 2008/2009 March 18 - 2009
Questions ? Semester 2 - 2008/2009 March 18 - 2009

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Genetic Algorithms

  • 1. Genetic Algorithms By Anas Amjad Obeidat Advanced Algorithms 02 Semester 2 - 2008/2009 March 18 - 2009
  • 2.
  • 3. Introduction To Genetic Algorithms (GAs) Semester 2 - 2008/2009 March 18 - 2009
  • 4.
  • 5.
  • 6.
  • 7.
  • 8.
  • 9.
  • 10.
  • 11. Working Mechanism Of GAs Begin Initialize population Optimum Solution? T=T+1 Selection Crossover Mutation N Evaluate Solutions Y Stop T =0 Semester 2 - 2008/2009 March 18 - 2009
  • 12.
  • 13. Nature to Computer Mapping Semester 2 - 2008/2009 March 18 - 2009 Nature Computer Population Individual Fitness Chromosome Gene Reproduction Set of solutions. Solution to a problem. Quality of a solution. Encoding for a Solution. Part of the encoding of a solution. Crossover
  • 14. GA Operators and Parameters Semester 2 - 2008/2009 March 18 - 2009
  • 15.
  • 16.
  • 17.
  • 18.
  • 19.
  • 20. Example Of Roulette Wheel Selection Semester 2 - 2008/2009 March 18 - 2009 No. String Fitness % Of Total 1 01101 169 14.4 2 11000 576 49.2 3 01000 64 5.5 4 10011 361 30.9 Total 1170 100.0
  • 21. Roulette Wheel For Example Semester 2 - 2008/2009 March 18 - 2009
  • 22.
  • 23.
  • 24.
  • 25.
  • 26.
  • 27.
  • 28.
  • 29.
  • 30.
  • 31.
  • 32.
  • 33.
  • 34. Genetic Algorithms To Solve The Traveling Salesman Problem (TSP) Semester 2 - 2008/2009 March 18 - 2009
  • 35.
  • 36.
  • 37.
  • 38.
  • 39. Distance/Cost Matrix For TSP Cost matrix for six city example. Distances in Kilometers Semester 2 - 2008/2009 March 18 - 2009 Amman 1 Irbid 2 Al-Mafraq 3 Al-Salt 4 Al-Aqabah 5 Al-Karak 6 Amman [1] 0 90 100 35 300 200 Irbid [2] 90 0 60 120 400 290 Al-Mafraq [3] 100 60 0 70 480 225 Al-Salt [4] 35 120 70 0 320 150 Aqabah [5] 300 400 480 320 0 290 Al-Karak [6] 200 290 225 150 290 0
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  • 50. 8-queens Problem Semester 2 - 2008/2009 March 18 - 2009
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  • 61. v 1 ' v 2 ' v 1 '' v 2 '' Semester 2 - 2008/2009 March 18 - 2009
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  • 65. 8-queens: A Summary Semester 2 - 2008/2009 March 18 - 2009
  • 66. Summary Semester 2 - 2008/2009 March 18 - 2009
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  • 70. Questions ? Semester 2 - 2008/2009 March 18 - 2009