Page 108 - ITU Journal Future and evolving technologies Volume 2 (2021), Issue 5 – Internet of Everything
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ITU Journal on Future and Evolving Technologies, Volume 2 (2021), Issue 5




          TI  represents  the  total  investment  in  the  same   The formula is updated as follows:
          network cluster or in the same geographical region.
          Since  the  VUPU  price  is  time  dependent,  price  is         (  ) VUPU  =
                                                                                =180(  +1)
          updated with the following formula:                     ∑   =1 (           .  (∑   =180    (         ,    .      )))+max {    ,0}   .     (7)
                                                                                        
                                   1
                   (  ) VUPU   = (1 − )   (   −   ) VUPU  +    2.2.3 Subscriber  Unique  Permanent  Identifier
                                    
                               1
                                                     ( )   (  ) VUPU                         (5)   (SUPI) Factor (SUF)
                                 
          where  C is the constant used to update  the  price.            means  the  number  of  different  SUPIs  (5G),
                                                                     
          With lower C values, a recent calculated price has   IMSIs (4G) that are recorded by base station n. It is
          more impact on the average price, and vice versa.    defined as follows:
          With a newly deployed network cluster, big C values                        =    + log(            ).                 (8)
                                                                                    
          are selected in order to converge to a certain price.
                                                               If        = 1, this means the same users connect to the
                                                                       
          2.2.2 Mobile device diversity factor                 same base station n. For modeling the SUPI factor,
                                                               any logaritmic function can be used. The reason for
          A base station serves different types of  terminals
          depending on the time and location. A more diverse   using the logarithmic function is that the increasing
          set  of  terminals  increases  the  value  of  the  base   number of diversity in the network will have lower
          station, and augments the  value  of  theVUPU. The   impact on the value since the base station will be
          following formula is used to summarize the impact    overloaded  after  some  point  leading  the  total
          of terminal diversity:                               service  quality  degradation  for  all  terminals
                                                               connected  to  the  base  station.  In  a  commercial
                                           1
                               = 1 + ∑     ( )                  (6)   network,  user  capacity  per  base  station  ranges
                                         =2
                              
                                                               between 600 and 1200 connected users for 5G base
          where         is  the  device  diversity  factor  of  base   stations. And, with SUF = 1, there are 600 different
                      
          station  n,  TT  is  number  of  different  traffic  types   SUPIs recorded by the base station. If SUF = 2, this
          served by the base station in a 24-hr window. For    means there are 1200 unique SUPIs recorded by the
          example, if the base station serves only one traffic   base  station.  With  SUF,  the  new  formula  for  the
          type,         = 1; and if the base station serves one   price of VUPU will be
                     
          different  traffic  type  in  addition  to  mobile  traffic,
          then        = 1 + 0.5 = 1.5. Fig. 7 shows DDF values     (  ) VUPU
                    
          corresponding to different traffic types.               ∑     (        .         . (∑   =180(  +1) (       .    )))
                                                                              
                                                                      =1
                                                                                    
                                                                                                            
                                                                                                        ,  
                                                                                         =180  
                                                                =                        1
                                                                                     (       )
                                                                                             .      
                                                                         max {    ,0}
                                                                       +     1    .                            (9)
                                                                          (      )
                                                                                  .      
                                                               The DDF value curve can have any shape depending
                                                               on the number of hand-offs. Fig. 8 shows the DDF of
                                                               a  base  station  serving  both  mobile  and  nomadic
                                                               users.  Since  subscribers/users  are  mobile,
                                                               subscribers/users  will  hand  off  from  one  base
                                                               station  to  another  base  station  during  the  day.
                                                               When users are stationary or nomadic, depending
                                                               on the location of the user, Wifi might be available.
                                                               Thus, users will use Wifi connection especially on
                                                               these occasions. This shows that the real value of a
                                                               cellular communication system is to provide high

            Fig. 7 – Increasing DDF with increading subscriber types   data speeds during mobility or in other words, to
                                                               provide mobile data to mobile users.












          96                                 © International Telecommunication Union, 2021
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