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A Personal Navigation System with a Schedule Planning Facility Based on Multi-Objective Criteria Takayuki Shiraishi, Munenobu Nagata, Naoki Shibata*,  Yoshihiro Murata,  Keiichi Yasumoto ,  and Minoru Ito Nara Institute of Science and Technology (NAIST) * Shiga University
Background ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
P-Tour: Personal navigation system for sightseeing tour  (see [7] for details) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Start(9:00) and  Goal(20:30) Horyuji temple The ruins of  Heijo palace  10:30 Yamato  Koriyam a castle 15:30 Yakushiji Temple 14:30 Kofukuji temple Todaiji temple 12:30 Nara  park 11:30 Kintetsu Nara Station JR Nara  station Kasuga taisya shrine  Kintetsu Gakuenmae station 18:30 dinner NAIST lunch Saidaiji temple  10:35
Snapshots of P-Tour Calculation/display of schedule Current position Navigation Time table Route User input at each dest route to next dest
System structure of P-Tour
Criteria for sightseeing tours ,[object Object],[object Object],[object Object],[object Object],tradeoff   Optimized for  criterion  B various compromises when we consider multiple criteria,     many candidate solutions  worth considering . Optimized for  criterion  A
Need for temporal guidance ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Our proposal ,[object Object],[object Object],[object Object],[object Object],[object Object]
Outline ,[object Object],[object Object],[object Object],[object Object]
Tradeoff among conflicting criteria ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],coefficients
How to adjust coefficients Users can find best coefficients by  following steps  server search engine I want to go to  National museum. This kind of trial-and-error  interaction may take a lot of time new coefficients (  =-0.2,   =0.8) coefficients (  =-0.5,   =0.5)  schedule new schedule  New It takes a long way to get there... I won’t go. ×
Our approach ,[object Object],[object Object],Schedule with minimum expense Schedule traveling  important sight spots Other candidates model as  multi-objective optimization problem
What is “multi-objective optimization problem”? ,[object Object],[object Object],[object Object],[object Object],[object Object],Osaka Nagoya multi-objective optimization problem is to extract only  worthy  candidates from many possible solutions Shinkansen express time: 1hr, expense: $60 normal train time:3hr, expense:$30 Airplane and normal train (via Tokyo) time:6hr? expense: $200? not worthy
Dominant solutions Normal train Shinkansen time: 1hr, expense: $60 time: 3hr, expense: $30 Airplane and normal train time: 6hr, expense:  $200 cost time dominate Solutions which are not dominated by any other:  Pareto optimal solutions dominate Not dominate each other
Pareto optimal solutions cost time Set of candidate  solutions Multi-objective optimization problem optimization optimization Set of pareto optimal solutions
Pareto optimal solutions ,[object Object],optimization optimization cost time Set of candidates + optimized for time + optimized for  expense + compromises worth considering +
Searching Pareto optimal solutions ,[object Object],cost time Set of candidates Set of Pareto optimal solutions ,[object Object],[object Object],[object Object],+ + + + + Evolution of candidates
How to obtain  various  solutions? cost time + + + + + We want to  uniformly  obtain Pareto optimal solutions. Elite preservation strategy of GA preserve candidate solutions  far from  the nearest neighbor for next generation. cost time + + + + + Only part of Pareto optimal solutions may be obtained. + + + + + undesirable
How to obtain  high quality  solutions with GA? cost time Set of candidates + + + Local search search better solutions in the space around GA solutions + :  solutions by GA With local search, we can obtain high quality solutions difficult to find by GA  + + + + :  solutions by local search
Outline ,[object Object],[object Object],[object Object],[object Object]
Warning mechanism for users to follow schedule ,[object Object],Undesirable situations ,[object Object],[object Object],[object Object],only show the fact warn when the delay becomes large  warn immediately
How to detect? ,[object Object],[object Object],[object Object],[object Object],Expected location at time t are known  road/street node ( intersection ) node i node i+1 node i+2 A B
How to detect? (Cont’d) Expected location User’s current location by GPS perpendicular line Error y Error x ,[object Object],[object Object]
Outline ,[object Object],[object Object],[object Object],[object Object]
Experiments and evaluation ,[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]
Variety of obtained schedules Satisfaction  (maximize) Expense  (minimize) Satisfaction 253 Expense 2620 yen Satisfaction 126 Expense 0 yen Satisfaction 210 Expense 1220 yen
Optimality of computed schedules Satisfaction (maximize) Expense  (minimize) Number of destinations: 18 optimal solution Approximate solutions (computation time: 15sec) ×
Time to calculate optimal solutions ,[object Object],16 destinations  2,807 seconds  =  about 46 minutes 17 destinations  9,861 seconds  =  about 2.7 hours 18 destinations 29,587seconds  =  about 8.2 hours Global optimization   (branch and bound method) ,[object Object],[object Object],[object Object],About 14.5 seconds (independent of number of destinations) with j2sdk 1.4.2 on Athlon 2500+, 512Mbyte Memory, Debian GNU linux
Conclusion ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

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(Slides) A Personal Navigation System with a Schedule Planning Facility Based on Multiobjective Criteria

  • 1. A Personal Navigation System with a Schedule Planning Facility Based on Multi-Objective Criteria Takayuki Shiraishi, Munenobu Nagata, Naoki Shibata*, Yoshihiro Murata, Keiichi Yasumoto , and Minoru Ito Nara Institute of Science and Technology (NAIST) * Shiga University
  • 2.
  • 3.
  • 4. Snapshots of P-Tour Calculation/display of schedule Current position Navigation Time table Route User input at each dest route to next dest
  • 6.
  • 7.
  • 8.
  • 9.
  • 10.
  • 11. How to adjust coefficients Users can find best coefficients by following steps server search engine I want to go to National museum. This kind of trial-and-error interaction may take a lot of time new coefficients (  =-0.2,  =0.8) coefficients (  =-0.5,  =0.5) schedule new schedule New It takes a long way to get there... I won’t go. ×
  • 12.
  • 13.
  • 14. Dominant solutions Normal train Shinkansen time: 1hr, expense: $60 time: 3hr, expense: $30 Airplane and normal train time: 6hr, expense: $200 cost time dominate Solutions which are not dominated by any other: Pareto optimal solutions dominate Not dominate each other
  • 15. Pareto optimal solutions cost time Set of candidate solutions Multi-objective optimization problem optimization optimization Set of pareto optimal solutions
  • 16.
  • 17.
  • 18. How to obtain various solutions? cost time + + + + + We want to uniformly obtain Pareto optimal solutions. Elite preservation strategy of GA preserve candidate solutions far from the nearest neighbor for next generation. cost time + + + + + Only part of Pareto optimal solutions may be obtained. + + + + + undesirable
  • 19. How to obtain high quality solutions with GA? cost time Set of candidates + + + Local search search better solutions in the space around GA solutions + : solutions by GA With local search, we can obtain high quality solutions difficult to find by GA + + + + : solutions by local search
  • 20.
  • 21.
  • 22.
  • 23.
  • 24.
  • 25.
  • 26. Variety of obtained schedules Satisfaction (maximize) Expense (minimize) Satisfaction 253 Expense 2620 yen Satisfaction 126 Expense 0 yen Satisfaction 210 Expense 1220 yen
  • 27. Optimality of computed schedules Satisfaction (maximize) Expense (minimize) Number of destinations: 18 optimal solution Approximate solutions (computation time: 15sec) ×
  • 28.
  • 29.

Notas do Editor

  1. そのため,ユーザは重み付けの値を明示的に指定する必要がありました. しかし,重みづけの値は直感的には把握市面ものでした. 従来の P-Tour では, ユーザは希望に応じて適当な重み付けを指定し, システムによって返されたスケジュールが気に入らないときは, それを見て重み付けを変更し,再度スケジュールを要求するなど, ユーザが満足できるスケジュールが得られるまで 対話処理を繰り返していました,