simulated annealing

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Simulated Annealing. 2. ??. ???????????? v.s. Hill Climbing?????????????????????????????????????????. Simulated Annealing. 3. ??. ????????????????????Metropolis?Rosenbluth???1953????1983?,Kirkpatrick?????????????????????????,????????????? . Simulated Annealing. 4. ????? (Hill Climbing). ?????(Hill-climbing Algorithm)???????????,?????????????,????????,???????????????????????????????????????????,??????????;??,?????????????????????.

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1. Simulated Annealing 1 Simulated Annealing(?????)

2. Simulated Annealing 2 ?? ?? ????? ????? v.s. Hill Climbing ????????????? ?????????? ????? ??????????? ??

3. Simulated Annealing 3 ?? ???????????????? ????Metropolis?Rosenbluth???1953???? 1983?,Kirkpatrick?????????????????????????,?????????????

4. Simulated Annealing 4 ?????(Hill Climbing) ?????(Hill-climbing Algorithm)???????????,?????????????,????????,??????????????????? ????????????????????????,??????????;??,?????????????????????

5. Simulated Annealing 5 ????? v.s. Hill Climbing Hill Climbing???????????,?????????????? ??????????????? ??????????,???? ?????????????

6. Simulated Annealing 6 ????????(1/2) ????????,??????????????? ,?????????? ? ????????????????,??????? ,??????? ? ???,????????????????????

7. Simulated Annealing 7 ?????????? ???????,????t????,???????????: P(?E)=exp(-?E / kt) k?Boltzmannís Constant ????????,??? P=exp(-c / t)>r c??????? r?0~1?????

8. Simulated Annealing 8 ????????(2/2) ?????????????????? ,? ,????????? ???? ????????????,??,?????????, , ? ??,???????????????????,?????????????????????????????

9. Simulated Annealing 9 ?????????

10. Simulated Annealing 10 ????(1/4) ????(Starting Temperature) ???????????????? ??????,???????????????????? ??????????????????????????? ??????,???????,???60%???????? ??????,?????,???????????????

11. Simulated Annealing 11 ????(2/4) ????(Final Temperature) ????,??????????? ??????,???????????? ???????????????

12. Simulated Annealing 12 ????(3/4) ????(Temperature Decrement) ????????????????????????????????????? 1.??????? Temp=Temp-x 2.??????? Temp=Temp*y (y?0.8~0.99??)

13. Simulated Annealing 13 ????(4/4) ????(Iterations at each Temperature) ????????? Lundy????????,???????????????? Temp=Temp / (1+a*Temp) a?????? ????????????????????,??????????

14. Simulated Annealing 14 ?????????

15. Simulated Annealing 15 ????(1/2) ?????????????????,?????????,????????????????????????? ?????,??????????????,????????????????????,???????????????

16. Simulated Annealing 16 ????(2/2) ??????????????,?????????????????

17. Simulated Annealing 17 ?????????

18. Simulated Annealing 18 ????(1/3) ??????????????????????????,????????????(Gradient Search)??????????,???????????????,?????????

19. Simulated Annealing 19 ????(2/3) ????????????: ??????? , ;? ????????????0?1??????1??0 ??? ???r? ??,? ,?????? ;??,?????

20. Simulated Annealing 20 ????(3/3) ? ??? ???,? ??,?????????????????? ?? ???????????????,???????????????????? ????????? ???????????? ?????,?????????????????? ???? ?????? ????????,??? ??????????? ???????

21. Simulated Annealing 21 ?????????

22. Simulated Annealing 22 ?????(1/4) ????(Cost Function) ????????? Delta Evaluation ???????????? Partial Evaluation ???????????????????????

23. Simulated Annealing 23 ?????(2/4) ????(Cost Function) Hard Constraints ???????????,????????? Soft Constraints ???????????,??????? Hard Constraints???????weight Soft Constraints?????????weight

24. Simulated Annealing 24 ?????(3/4) ??????(Neighborhood Structure) ?????????,????A???B??,????B???A??? ????(?????)???????? ?????,???????????????????????

25. Simulated Annealing 25 ?????(4/4) ??????(The Solution Space) ???,??????? ?????????????????????? ???????????,???????,??????????????????

26. Simulated Annealing 26 ???? ???(Initialization) ???????????????????????????? ??(Combine) ?????????????????????

27. Simulated Annealing 27 ?????(1/2) ??????(Acceptance Probability) ???exponential????? ???????????table ??(Cooling) ???????????(?????????)

28. Simulated Annealing 28 ?????(2/2) ???(Neighborhood) ???????????????? ????(Cost Function) ?????????????????

29. Simulated Annealing 29 ?? ?????????????????? ?????????????? ????????????????????? ??????????????,????????????????

30. Simulated Annealing 30 The End Thanks for everyone listening

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