Page 55 - ITU Journal Future and evolving technologies Volume 3 (2022), Issue 2 – Towards vehicular networks in the 6G era
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ITU Journal on Future and Evolving Technologies, Volume 3 (2022), Issue 2




          interferers (denoted by “MI1”, “MI2”, “MI3”) moving   Next, we apply the GBMU algorithm to the vehicles
          at the same velocity, the location of the transmitter   simulated in our  Stage-1 network level simulator,
          (denoted  by  “UE0”  in  the  figures)  is  updated   where there are 21 UEs in the network and UE0 is
          iteratively according to the algorithm with step size   the vehicle whose packet reception rates before and
             = 1. UE0 finally reaches a point in the network and   after the moving updates are recorded to visualize
          the moving distance per iteration diminishes as the   the convergence. Fig. 7 shows the iterative position
          iteration  proceeds.  In  order  to  verify  the     updates  with  the  step  size      =  1  for  one  the
          convergence and the effectiveness of the algorithm,   snapshots where UE0 is originally at a non-centered
          after each movement of UE0 in iteration k, the new   position with respect to all other vehicles. With the
          position will be used to calculate the path loss       GBMU  algorithm,  UE0  can  find  itself  a  better
                                                          ,  
          and  so  on  the    (  ) of  each  link,  and  finally  the   position  to  stay  in  order  to  maximize  its  utility,
                           ,  
          normalized  utility  gain  at  iteration  k  could  be   which  takes  the  success  packet  reception
          computed as:                                         probability  for  all  its  potential  receivers  and
                                                               fairness  among  them  into  account.  The  GBMU
                                        (  )−      (0)
                               (  ) =      ,           (17)    algorithm  takes  UE0  finally  to  reach  a  better
                             
                                    |      (0)|
                                                               position in this vehicle network and stay there as
          In  this  function,    (  ) is  the  new  utility  gain  and   the  algorithm  smoothly  converges  with  a  utility
                             
             (0) is the initial utility gain. The results obtained   increase  by  45.6%  at  its  convergence  shown  in
             
          are shown in Fig. 6. It can be observed that after 500   Fig. 8.  Please  note  that  the  final  position  can  be
          times  position  updates,  the  algorithm  shows     found by the node UE0 via in-node computation to
          convergence and achieves a utility gain of 42.2% in   go over the iterations, instead of really moving itself
          this case.                                           in  the  network  before  the  convergent  position  is
                                                               obtained.

                 400
                                                                      500
                               MI2
                 350                                                  450
                                                                                                     UE13
                                                                      400
                 300
                                                                      350
                                       UE0(start)                                 UE12
                 250                                                                   UE4          UE14
                                UE2                                   300               UE0(start)   UE1
                meters  200                                           Meters  250 UE10  UE9
                                                                                  UE7
                              UE3                                     200             UE0(end)
                 150
                                 UE0(end)
                                                                        UE15  UE5    UE3  UE6      UE16
                             MI3          UE1                         150
                 100                                                        UE11           UE2
                                                                      100
                 50                            MI1
                                                                      50
                                                                             UE8
                  0                                                    0
                  0   50  100  150  200  250  300  350  400            0  50  100  150  200  250  300  350  400  450  500
                                meters                                                 Meters
                      Fig. 5 – Moving update model                    Fig. 7 – Moving update model with all vehicles
                  45                                                   0.5
                  40                                                   0.45
                  35 30                                                0.35
                                                                       0.4
                 Normalized utility gain (%)  25 20                   Normalized utility gain (%)  0.25
                                                                       0.3


                                                                       0.2
                  10 15                                                0.15
                  5                                                    0.1
                  0                                                    0.05
                   0         500       1000      1500                   0  1000  2000  3000  4000  5000  6000  7000  8000  9000  10000
                                Iteration                                             Iteration
                        Fig. 6 – Gain convergence                      Fig. 8 – Gain convergence with all vehicles





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