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Università degli studi “La Sapienza” di Roma
           Master’s Thesis in Computer Science




Supervisor:                              Candidate:
Prof. Luca Becchetti                     Umberto Griffo
                                         Matr. 799201
Assistant Supervisor:
Prof. Leonardo Querzoni
Goals
 Validation of mobility models in social contexts
   Random Waypoint
   Truncated Lévy Walk
 Software development for efficient simulation of
  algorithms on Evolving Dynamic Network




                                                     2
Mobility Models




  Truncated Lévy Walk          Random Waypoint
  The human walks are          Mobile nodes follow random
  approximated with the Lévy   directions with speed chosen
  walks.                       randomly. The destination, speed
                               and direction changes when waiting
                               time is ended.                 3
Validation Framework

Mobility                              Contact
models                    Synthetic   Graph
               Models                                Statistical
                           contact
• RWP         Execution               • Aggregated    analysis
                            traces
• TLW                                 • Dynamic




                                                     Validation




           Real-world                 Contact
           social           Real      Graph
           contacts
                                                     Statistical
                          contact
                           traces     • Aggregated    analysis
           • SocialDIS
                                      • Dynamic
           • MACRO
                                                                   4
Social Experiments with RFID Platform




   SocialDIS             NeonMACRO
   # partecipants: 116   # partecipants: 114
   # duration: 4 days    # duration: 3h
                                               5
Software architecture - new Gephi modules




                                       6
Contributions
 Gathering and processing of user traces gathered by social
  experiment NeonMACRO
 Definition of new efficient format to represent Dynamic
  Contact network named DNF (Dynamic Network Format)
 Development of new modules on Gephi simulation
  Platform:
    implementation of a Contact Graph importer
    implementation of an efficient dinamicity simulator
     (FastUtils)
    implementation of Mobility Models (RWP and TLW)
    implementation of algorithms to compute metrics and
     statistical indices
 Extensive experimental analysis of mobility models

                                                               7
Experimental analysis
 On aggregated Contact Graph
   Weighted Clustering Coefficient
   Strength
   Density
   Modularity
 On Evolving Network
   Inter-Intra contact times
   Flooding time
   Distance from stationarity
   Spatial/Time correlations

                                      8
Main findings (1/9)
                              Dataset         # Edges         Average          Average        Graph
 Social experiments:                                          degree          strength       density
                             MACRO               132            2,316           0,004             0,02
  contacts mostly with         TLW              5394            94,63             1               0,83
  “friends” seldom with        RWP              6120           107,368            1               0,95


  “strangers”                    Dataset               Average Clustering        Average Weighted

 Mobility models: all-to-                                Coefficient                 Clustering
                                                                                      Coefficient
  all like contacts             MACRO                        0,378                        0,237
                                  TLW                        0,848                        0,853
                                  RWP                        0,951                        0,951



                             Dataset       Average Intra-     Average Inter-          #               #
                                           contact Time       contact Time       Contact      Interval
                                             (seconds)          (seconds)


                             MACRO              1,7                  51,2          1.325          966

                              TLW               20,7                 645,8        28.187          325

                              RWP               32,7             1.619,3          19.117          246

                                                                                                  9
Main findings (2/9)
 The models:
    don’t capture the
     friendly ties




                         10
Main findings (3/9)
 The models:
    don’t capture the
     friendly ties
    overestimate the speed
    of flooding




                              11
Main findings (4/9)
 The mobility models
  overestimate temporal
  correlations
 The existence
  probability of a contact
  results to be
  approximately
  stationary




                             12
Main findings (5/9)
 The mobility models
  overestimate temporal
  correlations
 The existence
  probability of a contact
  results to be
  approximately
  stationary




                             13
Main findings (6/9)




             MACRO                        RWP

  The nodes moving by mobilty models present spatial
  correlations that do not agree with experimental
  observation                                           14
Main findings (7/9)




             MACRO                       TLW

  The nodes moving by mobilty models present spatial
  correlations that do not agree with experimental
  observation                                           15
Main findings (8/9)




             MACRO                         RWP

  The nodes moving by mobilty models present spatial
  correlations that do not agree with experimental
  observation                                           16
Main findings (9/9)



                                            TLW




             MACRO

  The nodes moving by mobilty models present spatial
  correlations that do not agree with experimental
  observation                                           17
Conclusions and future developments
  RWP and TLW mobility models fail to model key
   properties collected to SocialDIS and MACRO
   experiments
  Future work:
    Outdoor scenarios
    Larger scenario
    Adapted Mobility Models




                                                   18

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Validation and analysis of mobility models

  • 1. Università degli studi “La Sapienza” di Roma Master’s Thesis in Computer Science Supervisor: Candidate: Prof. Luca Becchetti Umberto Griffo Matr. 799201 Assistant Supervisor: Prof. Leonardo Querzoni
  • 2. Goals  Validation of mobility models in social contexts  Random Waypoint  Truncated Lévy Walk  Software development for efficient simulation of algorithms on Evolving Dynamic Network 2
  • 3. Mobility Models Truncated Lévy Walk Random Waypoint The human walks are Mobile nodes follow random approximated with the Lévy directions with speed chosen walks. randomly. The destination, speed and direction changes when waiting time is ended. 3
  • 4. Validation Framework Mobility Contact models Synthetic Graph Models Statistical contact • RWP Execution • Aggregated analysis traces • TLW • Dynamic Validation Real-world Contact social Real Graph contacts Statistical contact traces • Aggregated analysis • SocialDIS • Dynamic • MACRO 4
  • 5. Social Experiments with RFID Platform SocialDIS NeonMACRO # partecipants: 116 # partecipants: 114 # duration: 4 days # duration: 3h 5
  • 6. Software architecture - new Gephi modules 6
  • 7. Contributions  Gathering and processing of user traces gathered by social experiment NeonMACRO  Definition of new efficient format to represent Dynamic Contact network named DNF (Dynamic Network Format)  Development of new modules on Gephi simulation Platform:  implementation of a Contact Graph importer  implementation of an efficient dinamicity simulator (FastUtils)  implementation of Mobility Models (RWP and TLW)  implementation of algorithms to compute metrics and statistical indices  Extensive experimental analysis of mobility models 7
  • 8. Experimental analysis  On aggregated Contact Graph  Weighted Clustering Coefficient  Strength  Density  Modularity  On Evolving Network  Inter-Intra contact times  Flooding time  Distance from stationarity  Spatial/Time correlations 8
  • 9. Main findings (1/9) Dataset # Edges Average Average Graph  Social experiments: degree strength density MACRO 132 2,316 0,004 0,02 contacts mostly with TLW 5394 94,63 1 0,83 “friends” seldom with RWP 6120 107,368 1 0,95 “strangers” Dataset Average Clustering Average Weighted  Mobility models: all-to- Coefficient Clustering Coefficient all like contacts MACRO 0,378 0,237 TLW 0,848 0,853 RWP 0,951 0,951 Dataset Average Intra- Average Inter- # # contact Time contact Time Contact Interval (seconds) (seconds) MACRO 1,7 51,2 1.325 966 TLW 20,7 645,8 28.187 325 RWP 32,7 1.619,3 19.117 246 9
  • 10. Main findings (2/9)  The models:  don’t capture the friendly ties 10
  • 11. Main findings (3/9)  The models:  don’t capture the friendly ties  overestimate the speed of flooding 11
  • 12. Main findings (4/9)  The mobility models overestimate temporal correlations  The existence probability of a contact results to be approximately stationary 12
  • 13. Main findings (5/9)  The mobility models overestimate temporal correlations  The existence probability of a contact results to be approximately stationary 13
  • 14. Main findings (6/9) MACRO RWP  The nodes moving by mobilty models present spatial correlations that do not agree with experimental observation 14
  • 15. Main findings (7/9) MACRO TLW  The nodes moving by mobilty models present spatial correlations that do not agree with experimental observation 15
  • 16. Main findings (8/9) MACRO RWP  The nodes moving by mobilty models present spatial correlations that do not agree with experimental observation 16
  • 17. Main findings (9/9) TLW MACRO  The nodes moving by mobilty models present spatial correlations that do not agree with experimental observation 17
  • 18. Conclusions and future developments  RWP and TLW mobility models fail to model key properties collected to SocialDIS and MACRO experiments  Future work:  Outdoor scenarios  Larger scenario  Adapted Mobility Models 18