The stable marriage problem iterative improvement method
0 likes132 views
The document discusses the stable marriage problem and its iterative improvement method. It describes a stable marriage as a pairing between two disjoint sets where each member of one set is paired with exactly one member of the other set. It states that the stable marriage algorithm terminates with a stable marriage output after no more than n^2 iterations. Some applications of stable marriage problems mentioned include assigning students to universities and doctors to hospitals.
The stable marriage problem iterative improvement method
- 1. The Stable Marriage Problem Iterative Improvement Method Dr. P. Subathra Prof/ IT KAMARAJ College of Engg. & Tech (AUTONOMOUS) Madurai Tamil Nadu India
- 2. The Stable Marriage Problem 2 Dr. P. Subathra, KAMARAJ College of Engg & Tech (AUTONOMOUS), Madurai, Tamil Nadu, India
- 3. The Stable Marriage Problem A marriage matching M is a set of n (m, w) pairs whose members are selected from disjoint n- element sets Y and X in a one-one fashion, i.e., each man m from Y is paired with exactly one woman w from X and vice versa. 3 Dr. P. Subathra, KAMARAJ College of Engg & Tech (AUTONOMOUS), Madurai, Tamil Nadu, India
- 4. The Stable Marriage Problem 4 Dr. P. Subathra, KAMARAJ College of Engg & Tech (AUTONOMOUS), Madurai, Tamil Nadu, India
- 5. The Stable Marriage Problem 5 Dr. P. Subathra, KAMARAJ College of Engg & Tech (AUTONOMOUS), Madurai, Tamil Nadu, India
- 6. The Stable Marriage Problem 6 Dr. P. Subathra, KAMARAJ College of Engg & Tech (AUTONOMOUS), Madurai, Tamil Nadu, India
- 7. The Stable Marriage Problem • Blocking Pair 7 Dr. P. Subathra, KAMARAJ College of Engg & Tech (AUTONOMOUS), Madurai, Tamil Nadu, India
- 8. The Stable Marriage Problem 8 Dr. P. Subathra, KAMARAJ College of Engg & Tech (AUTONOMOUS), Madurai, Tamil Nadu, India
- 9. The Stable Marriage Problem THEOREM The stable marriage algorithm terminates after no more than n2 iterations with a stable marriage output. 9 Dr. P. Subathra, KAMARAJ College of Engg & Tech (AUTONOMOUS), Madurai, Tamil Nadu, India
- 10. The Stable Marriage Problem 10 Dr. P. Subathra, KAMARAJ College of Engg & Tech (AUTONOMOUS), Madurai, Tamil Nadu, India
- 11. The Stable Marriage Problem 11 Dr. P. Subathra, KAMARAJ College of Engg & Tech (AUTONOMOUS), Madurai, Tamil Nadu, India
- 12. The Stable Marriage Problem 12 Dr. P. Subathra, KAMARAJ College of Engg & Tech (AUTONOMOUS), Madurai, Tamil Nadu, India
- 13. The Stable Marriage Problem 13 Dr. P. Subathra, KAMARAJ College of Engg & Tech (AUTONOMOUS), Madurai, Tamil Nadu, India
- 14. The Stable Marriage Problem 14 Dr. P. Subathra, KAMARAJ College of Engg & Tech (AUTONOMOUS), Madurai, Tamil Nadu, India
- 15. The Stable Marriage Problem APPLICATIONS: • Student → University • Student →Departments • Doctors → Hospitals • Cloud User → Cloud Provider • Room mates in Hostel • Student → Project Guide 15 Dr. P. Subathra, KAMARAJ College of Engg & Tech (AUTONOMOUS), Madurai, Tamil Nadu, India
- 16. Happy Ending….!!!! Dr. P. Subathra, KAMARAJ College of Engg & Tech (AUTONOMOUS), Madurai, Tamil Nadu, India 16