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Validation of the Proposed
                       Improvement-trend
                            Technique

                                     Presented by:
                                  Abhishek Srivastava
                            Department of Computing Science
                                  University of Alberta

                                           1
Friday, December 11, 2009
Improvement-trend criterion
                                feedback




                                                        line fitted using the
                                                       Ordinary Least Squares
                                                             technique
                                feedback
                                                   ×       ×

                                                       ×
                                               ×
                                           ×


                                                         time


                                    2
Friday, December 11, 2009
Validation of our technique
                                       feedback




                                       feedback
                                                          ×       ×
                   Hotels in                                  ×
                  Los Angeles                         ×
                                                  ×


                                                              time
                                           3
Friday, December 11, 2009
feedback




        Renaissance Hollywood Hotel
        Hyatt Regency, Century Plaza
        Vagabond Inn
        Elan Hotel
        Hollywood City Inn
        Hollywood Orchid Suites
        Sofitel Los Angeles
        Sheraton Universal Hotel
        Holiday Inn Express...Hollywood...
        Angeleno Hotel



                                             4
Friday, December 11, 2009
1
                              Proposed technique
                                       1.2
                                           = 0.833

                                         2
                                            = 1.33                                 Randomly collected
     Renaissance Hollywood Hotel        1.5
                                                                                   small number of
     Hyatt Regency, Century Plaza      2                                           feedback
     Vagabond Inn                         = 2.5
                                      0.8
     Elan Hotel
     Hollywood City Inn                        {Reliability}α
     Hollywood Orchid Suites = Available · {W aiting-time}β
                     Af f inity
     Sofitel Los Angeles
     Sheraton Universal Hotel
     HolidayAf fExpress...Hollywood... ·Availablej ·
             Inn inityij = Couplingij                {Reliabilityj }α · {Improvement-trendj }γ
     Angeleno Hotel                                              {W aiting-timej }β
                                                feedback
                                                                          ×          ×
                              T ransition-rate =
                              Completion-ratei ∗ Couplingij                    ×
                                                                     ×
                                                              ×
                                            Length of queue
                            W aiting-time =
                                            Completion-rate
                                                                                 time
                                                                                                 5
                  Improvement-trend = {Slope of f itted line}∗{M ean f eedback value}
Friday, December 11, 2009
Rankings based on proposed
                               technique

 Renaissance Hollywood Hotel                                1. Sofitel Los Angeles                   1.5423
 Hyatt Regency, Century Plaza                               2. Elan Hotel                           1.4119
 Vagabond Inn                        Ranked based on        3. Angeleno Hotel                       1.3097
                                        calculated
 Elan Hotel                         Improvement-trend       4. Holiday Inn Express...Hollywood...   1.2503
 Hollywood City Inn                                         5. Hollywood City Inn                   1.1707
 Hollywood Orchid Suites                                    6. Vagabond Inn                         1.1053
 Sofitel Los Angeles                                         7. Sheraton Universal Hotel             1.0931
 Sheraton Universal Hotel                                   8. Renaissance Hollywood Hotel          1.0871
 Holiday Inn Express...Hollywood...                         9. Hollywood Orchid Suites              0.9739
 Angeleno Hotel                                             10. Hyatt Regency, Century Plaza        0.8815




                                                        6
Friday, December 11, 2009
Calculation of ‘actual’
                                improvement

  Renaissance Hollywood Hotel
  Hyatt Regency, Century Plaza
  Vagabond Inn
  Elan Hotel
  Hollywood City Inn
  Hollywood Orchid Suites
  Sofitel Los Angeles
  Sheraton Universal Hotel
  Holiday Inn Express...Hollywood...
  Angeleno Hotel

                                              Large amount
                                               of feedback

                                       7
Friday, December 11, 2009
Large amount
                                                                 of feedback




         Renaissance Hollywood Hotel
         Hyatt Regency, Century Plaza
         Vagabond Inn
         Elan Hotel
                                              For each hotel
         Hollywood City Inn                                    Monthly feedback
         Hollywood Orchid Suites                                   average
         Sofitel Los Angeles
         Sheraton Universal Hotel
         Holiday Inn Express...Hollywood...
         Angeleno Hotel




                                                       8
Friday, December 11, 2009
Rankings based on proposed
                               feedback
                                       Feedback average
                                                            Hotels ranked
                                           October 2009
                                                          based on feedback
                                       September 2009       Hotels ranked
  Renaissance Hollywood Hotel                             based on feedback
                                                .                 .
  Hyatt Regency, Century Plaza
                                                .                 .
  Vagabond Inn
                                                .                 .
  Elan Hotel
  Hollywood City Inn                                        Hotels ranked
                                       December 2008
  Hollywood Orchid Suites                                 based on feedback
  Sofitel Los Angeles
  Sheraton Universal Hotel                       .                .
  Holiday Inn Express...Hollywood...             .                .
  Angeleno Hotel                                 .                .

                                                            Hotels ranked
                                             July 2008
                                                          based on feedback

                                       9
Friday, December 11, 2009
For each hotel:

                October 2009    Rank
                                       Average rank
              September 2009    Rank                  July - October 2009
                                                             Ranking
                 August 2009    Rank

                    July 2009   Rank
                         .
                         .
                         .                            March - June 2009
                                                          Ranking
             December 2008
                            .
                                                      Oct. `08 - June `09
                            .
                                                            Ranking
                            .

                  July 2008
                                                      July - October 2008
                                                             Ranking
                                           10
Friday, December 11, 2009
‘Rank improvement’
       For each hotel:

         July - October 2009
                Ranking            R4


           March - June 2009
               Ranking             R3
                                             Rank improvement =
                                             (R1-R2)+ (R2-R3)+ (R3-R4)
           Oct. `08 - June `09
                 Ranking           R2


          July - October 2008
                 Ranking           R1

                                        11
Friday, December 11, 2009
Rankings based on ‘Rank
                                 improvement’

 Renaissance Hollywood Hotel                                Vagabond Inn                          +3
 Hyatt Regency, Century Plaza                               Elan Hotel                            +2.5
 Vagabond Inn                        Ranked based on        Sofitel Los Angeles                    +1.75
 Elan Hotel                         Rank improvement        Holiday Inn Express...Hollywood...   +1.25
 Hollywood City Inn                                         Angeleno Hotel                       - 0.5
 Hollywood Orchid Suites                                    Hollywood Orchid Suites              - 0.75
 Sofitel Los Angeles                                         Hyatt Regency, Century Plaza         - 0.75
 Sheraton Universal Hotel                                   Hollywood City Inn                   - 1.25
 Holiday Inn Express...Hollywood...                         Sheraton Universal Hotel             -2
 Angeleno Hotel                                             Renaissance Hollywood Hotel          - 3.25




                                                       12
Friday, December 11, 2009
Ranking comparison
    Based on ‘rank improvement’                 Proposed technique
    (large feedback number)                     (small feedback number)

   1.Vagabond Inn                               1. Sofitel Los Angeles
   2. Elan Hotel                                2. Elan Hotel
   3. Sofitel Los Angeles                        3. Angeleno Hotel
   4. Holiday Inn Express...Hollywood...        4. Holiday Inn Express...Hollywood...
   5. Angeleno Hotel                            5. Hollywood City Inn
   6. Hollywood Orchid Suites                   6.Vagabond Inn
   6. Hyatt Regency, Century Plaza              7. Sheraton Universal Hotel
   8. Hollywood City Inn                        8. Renaissance Hollywood Hotel
   9. Sheraton Universal Hotel                  9. Hollywood Orchid Suites
   10. Renaissance Hollywood Hotel              10. Hyatt Regency, Century Plaza



      Average ‘Manhattan’ distance = 2.3

                                           13
Friday, December 11, 2009
Thank you!



                                14
Friday, December 11, 2009

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Validation Improvement Trend

  • 1. Validation of the Proposed Improvement-trend Technique Presented by: Abhishek Srivastava Department of Computing Science University of Alberta 1 Friday, December 11, 2009
  • 2. Improvement-trend criterion feedback line fitted using the Ordinary Least Squares technique feedback × × × × × time 2 Friday, December 11, 2009
  • 3. Validation of our technique feedback feedback × × Hotels in × Los Angeles × × time 3 Friday, December 11, 2009
  • 4. feedback Renaissance Hollywood Hotel Hyatt Regency, Century Plaza Vagabond Inn Elan Hotel Hollywood City Inn Hollywood Orchid Suites Sofitel Los Angeles Sheraton Universal Hotel Holiday Inn Express...Hollywood... Angeleno Hotel 4 Friday, December 11, 2009
  • 5. 1 Proposed technique 1.2 = 0.833 2 = 1.33 Randomly collected Renaissance Hollywood Hotel 1.5 small number of Hyatt Regency, Century Plaza 2 feedback Vagabond Inn = 2.5 0.8 Elan Hotel Hollywood City Inn {Reliability}α Hollywood Orchid Suites = Available · {W aiting-time}β Af f inity Sofitel Los Angeles Sheraton Universal Hotel HolidayAf fExpress...Hollywood... ·Availablej · Inn inityij = Couplingij {Reliabilityj }α · {Improvement-trendj }γ Angeleno Hotel {W aiting-timej }β feedback × × T ransition-rate = Completion-ratei ∗ Couplingij × × × Length of queue W aiting-time = Completion-rate time 5 Improvement-trend = {Slope of f itted line}∗{M ean f eedback value} Friday, December 11, 2009
  • 6. Rankings based on proposed technique Renaissance Hollywood Hotel 1. Sofitel Los Angeles 1.5423 Hyatt Regency, Century Plaza 2. Elan Hotel 1.4119 Vagabond Inn Ranked based on 3. Angeleno Hotel 1.3097 calculated Elan Hotel Improvement-trend 4. Holiday Inn Express...Hollywood... 1.2503 Hollywood City Inn 5. Hollywood City Inn 1.1707 Hollywood Orchid Suites 6. Vagabond Inn 1.1053 Sofitel Los Angeles 7. Sheraton Universal Hotel 1.0931 Sheraton Universal Hotel 8. Renaissance Hollywood Hotel 1.0871 Holiday Inn Express...Hollywood... 9. Hollywood Orchid Suites 0.9739 Angeleno Hotel 10. Hyatt Regency, Century Plaza 0.8815 6 Friday, December 11, 2009
  • 7. Calculation of ‘actual’ improvement Renaissance Hollywood Hotel Hyatt Regency, Century Plaza Vagabond Inn Elan Hotel Hollywood City Inn Hollywood Orchid Suites Sofitel Los Angeles Sheraton Universal Hotel Holiday Inn Express...Hollywood... Angeleno Hotel Large amount of feedback 7 Friday, December 11, 2009
  • 8. Large amount of feedback Renaissance Hollywood Hotel Hyatt Regency, Century Plaza Vagabond Inn Elan Hotel For each hotel Hollywood City Inn Monthly feedback Hollywood Orchid Suites average Sofitel Los Angeles Sheraton Universal Hotel Holiday Inn Express...Hollywood... Angeleno Hotel 8 Friday, December 11, 2009
  • 9. Rankings based on proposed feedback Feedback average Hotels ranked October 2009 based on feedback September 2009 Hotels ranked Renaissance Hollywood Hotel based on feedback . . Hyatt Regency, Century Plaza . . Vagabond Inn . . Elan Hotel Hollywood City Inn Hotels ranked December 2008 Hollywood Orchid Suites based on feedback Sofitel Los Angeles Sheraton Universal Hotel . . Holiday Inn Express...Hollywood... . . Angeleno Hotel . . Hotels ranked July 2008 based on feedback 9 Friday, December 11, 2009
  • 10. For each hotel: October 2009 Rank Average rank September 2009 Rank July - October 2009 Ranking August 2009 Rank July 2009 Rank . . . March - June 2009 Ranking December 2008 . Oct. `08 - June `09 . Ranking . July 2008 July - October 2008 Ranking 10 Friday, December 11, 2009
  • 11. ‘Rank improvement’ For each hotel: July - October 2009 Ranking R4 March - June 2009 Ranking R3 Rank improvement = (R1-R2)+ (R2-R3)+ (R3-R4) Oct. `08 - June `09 Ranking R2 July - October 2008 Ranking R1 11 Friday, December 11, 2009
  • 12. Rankings based on ‘Rank improvement’ Renaissance Hollywood Hotel Vagabond Inn +3 Hyatt Regency, Century Plaza Elan Hotel +2.5 Vagabond Inn Ranked based on Sofitel Los Angeles +1.75 Elan Hotel Rank improvement Holiday Inn Express...Hollywood... +1.25 Hollywood City Inn Angeleno Hotel - 0.5 Hollywood Orchid Suites Hollywood Orchid Suites - 0.75 Sofitel Los Angeles Hyatt Regency, Century Plaza - 0.75 Sheraton Universal Hotel Hollywood City Inn - 1.25 Holiday Inn Express...Hollywood... Sheraton Universal Hotel -2 Angeleno Hotel Renaissance Hollywood Hotel - 3.25 12 Friday, December 11, 2009
  • 13. Ranking comparison Based on ‘rank improvement’ Proposed technique (large feedback number) (small feedback number) 1.Vagabond Inn 1. Sofitel Los Angeles 2. Elan Hotel 2. Elan Hotel 3. Sofitel Los Angeles 3. Angeleno Hotel 4. Holiday Inn Express...Hollywood... 4. Holiday Inn Express...Hollywood... 5. Angeleno Hotel 5. Hollywood City Inn 6. Hollywood Orchid Suites 6.Vagabond Inn 6. Hyatt Regency, Century Plaza 7. Sheraton Universal Hotel 8. Hollywood City Inn 8. Renaissance Hollywood Hotel 9. Sheraton Universal Hotel 9. Hollywood Orchid Suites 10. Renaissance Hollywood Hotel 10. Hyatt Regency, Century Plaza Average ‘Manhattan’ distance = 2.3 13 Friday, December 11, 2009
  • 14. Thank you! 14 Friday, December 11, 2009