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Location-Aided Routing (LAR)
in Mobile Ad Hoc Networks




                               1
Basic Idea

    Route discovery using flooding algorithm:


                          C

                  S
          A                           D
                              X

                      B
                                  E



                                                 2
Basic Idea (cont.)

    Location information
      Minimize the search zone
      Reduce the number of routing messages



    Speed and direction information
      More minimization of the search zone
      Increases the probability to find a node




                                                  3
Basic Idea (cont.)
    Each node knows its current location

    Using last known location information and
     average speed for route discovery
        Limited destination zone – expected zone
        Restricted flooding – request zone

    Route discovery is initiated when
        Source does not know a route to destination
        Previous route from source to destination is broken

                                                               4
Definitions

    Expected zone
      S knows the location of D at time t0
      Current time is t1
      The location of D at t1 is the expected zone




                                                      5
Expected Zone




     No direction information   Direction information:
                                moving toward north



                                                         6
Definitions (cont.)

    Request zone
      S defines a request zone for the route
       request
      The request zone includes expected zone
      The route request messages only flood in
       request zone
      If S can not find a route within the timeout
       interval, create a expanded request zone



                                                      7
Request Zone




               8
LAR Scheme 1
    The request zone is the smallest rectangle to include the
     expected zone and the location of source

    S Includes the coordinates of corners and location of D(t0) in
     routing messages

    The node outside the rectangle should not forward route
     message to neighbors

    When D receives the message, it replies a route reply message
     including its current location and current time

    When S receives the route reply message, it records the location
     of node D.



                                                                        9
LAR Scheme 1 (example)
             A (Xs, Yd+R)                              B (Xd+R, Yd+R)

                                                             Expected zone
                                            R
 Request zone
                                          D (Xd, Yd)

      J (Xj, Yj)        I (Xi, Yi)



                                                           D (Xd+R, Ys)
           S (Xs, Ys)
                                                       Network Space

                   Source node outside the expected zone

                                                                             10
LAR Scheme 1 (example)
                     A (Xd-R, Yd+R)            B (Xd+R, Yd+R)

                                                     Expected zone

                            S (Xs, Ys)
                                          R
                                  D (Xd, Yd)


      Request zone
                       C (Xd-R, Yd-R)      D (Xd+R, Yd-R)




                                               Network Space

          Source node within the expected zone

                                                                     11
LAR Scheme 2
    The distance between S and D is DISTs
    S includes DISTs and (Xd, Yd) in route request
     message
    When node I receives route request
        Calculates its distance to D (DISTi)
        If DISTs+δ DISTi then forwards the request and replace
         DISTs by DISTi
        Otherwise, node I discards the route request
    δ is a parameter for increasing the probability
   of finding a route or dealing with location error
  The request is forwarded closer and closer to
   destination D
                                                                   12
LAR Scheme 2 (example)

                                 D (Xd, Yd)
                   DISTs
          DISTn
                               DISTi

            N
                                DISTk
                   I
                         K
            S (Xs, Ys)


                                Network Space

              Parameter δ= 0

                                                13
Error in Location Estimate
    Impact of location error
        GPS may include some error
        With a larger location error, the size of request
         zone increases
        Usually location error contributes to an increase in
         routing overhead
        But routing overhead may decrease with increasing
         error, why?
  In LAR scheme 1, radius of expected zone
   = e + v(t1 – t0), e is location error
  In LAR scheme 2, there is no modification

                                                                14
# of Routing packets per Data packet

                                                                               Simulation Result




           Percentage of Improvement
                                            Different average speed of nodes




15
# of Routing packets per Data packet




      # of Routing packets per Data packet
                                                                                     Simulation Result (cont.)

                                             Different transmission range of nodes




16
# of Routing packets per Data packet




      # of Routing packets per Data packet
                                                                                    Simulation Result (cont.)

                                             Different number of nodes in network




17
Simulation Result (cont.)

                                                        Different location error
# of Routing packets per Data packet




                                                                    Percentage of Improvement




                                       Location Error (units)                                   Location Error (units)


                                                                                                                         18
Simulation Result (cont.)
    LAR perform better in various speed
        Especially in high speed

    LAR perform better in various transmission
     range
        Exception: very low transmission rate

    LAR perform better in various amount of
     nodes
        Exception: small amount of nodes


                                                  19
Variations and Optimizations

    Alternative definition of request zone in
     LAR scheme 1

              Expected Zone

                                     D




                                               Original Request Zone


        S
                    Alternative Request Zone
                                                                  20
Variations and Optimizations (cont.)

      Adaptation of request zone
          If an intermediate node I holds a more
           recent location information of D, it can
           update the request zone

Adapted Request Zone
as per node I                        D




                              J
                                           Adapted Request Zone
Initial Request Zone
                          I                as per node J
                    S                                       21
Variations and Optimizations (cont.)

    Adaptation of request zone
        Even though LAR scheme 2 does not
         explicitly define request zone, the zone that
         the source node ask can be seen as a
         circular zone


                               D


            DISTs
                                              DISTi
                               I
                       S
                                                         22
Variations and Optimizations (cont.)

     Local search
       Allow any intermediate node I detecting
        route error to initiate a route discovery
       Node I uses a request zone based on its
        own location information for node D

                      D                               D



                I                               I
 S                               S

 Request Zone determined by S    Request Zone determined by I
                                                            23
Conclusion

    Location information significantly lower
     routing overhead

    Various optimizations can be done to
     adjust LAR to a certain network




                                                24

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Lar

  • 1. Location-Aided Routing (LAR) in Mobile Ad Hoc Networks 1
  • 2. Basic Idea  Route discovery using flooding algorithm: C S A D X B E 2
  • 3. Basic Idea (cont.)  Location information  Minimize the search zone  Reduce the number of routing messages  Speed and direction information  More minimization of the search zone  Increases the probability to find a node 3
  • 4. Basic Idea (cont.)  Each node knows its current location  Using last known location information and average speed for route discovery  Limited destination zone – expected zone  Restricted flooding – request zone  Route discovery is initiated when  Source does not know a route to destination  Previous route from source to destination is broken 4
  • 5. Definitions  Expected zone  S knows the location of D at time t0  Current time is t1  The location of D at t1 is the expected zone 5
  • 6. Expected Zone No direction information Direction information: moving toward north 6
  • 7. Definitions (cont.)  Request zone  S defines a request zone for the route request  The request zone includes expected zone  The route request messages only flood in request zone  If S can not find a route within the timeout interval, create a expanded request zone 7
  • 9. LAR Scheme 1  The request zone is the smallest rectangle to include the expected zone and the location of source  S Includes the coordinates of corners and location of D(t0) in routing messages  The node outside the rectangle should not forward route message to neighbors  When D receives the message, it replies a route reply message including its current location and current time  When S receives the route reply message, it records the location of node D. 9
  • 10. LAR Scheme 1 (example) A (Xs, Yd+R) B (Xd+R, Yd+R) Expected zone R Request zone D (Xd, Yd) J (Xj, Yj) I (Xi, Yi) D (Xd+R, Ys) S (Xs, Ys) Network Space Source node outside the expected zone 10
  • 11. LAR Scheme 1 (example) A (Xd-R, Yd+R) B (Xd+R, Yd+R) Expected zone S (Xs, Ys) R D (Xd, Yd) Request zone C (Xd-R, Yd-R) D (Xd+R, Yd-R) Network Space Source node within the expected zone 11
  • 12. LAR Scheme 2  The distance between S and D is DISTs  S includes DISTs and (Xd, Yd) in route request message  When node I receives route request  Calculates its distance to D (DISTi)  If DISTs+δ DISTi then forwards the request and replace DISTs by DISTi  Otherwise, node I discards the route request  δ is a parameter for increasing the probability of finding a route or dealing with location error  The request is forwarded closer and closer to destination D 12
  • 13. LAR Scheme 2 (example) D (Xd, Yd) DISTs DISTn DISTi N DISTk I K S (Xs, Ys) Network Space Parameter δ= 0 13
  • 14. Error in Location Estimate  Impact of location error  GPS may include some error  With a larger location error, the size of request zone increases  Usually location error contributes to an increase in routing overhead  But routing overhead may decrease with increasing error, why?  In LAR scheme 1, radius of expected zone = e + v(t1 – t0), e is location error  In LAR scheme 2, there is no modification 14
  • 15. # of Routing packets per Data packet Simulation Result Percentage of Improvement Different average speed of nodes 15
  • 16. # of Routing packets per Data packet # of Routing packets per Data packet Simulation Result (cont.) Different transmission range of nodes 16
  • 17. # of Routing packets per Data packet # of Routing packets per Data packet Simulation Result (cont.) Different number of nodes in network 17
  • 18. Simulation Result (cont.) Different location error # of Routing packets per Data packet Percentage of Improvement Location Error (units) Location Error (units) 18
  • 19. Simulation Result (cont.)  LAR perform better in various speed  Especially in high speed  LAR perform better in various transmission range  Exception: very low transmission rate  LAR perform better in various amount of nodes  Exception: small amount of nodes 19
  • 20. Variations and Optimizations  Alternative definition of request zone in LAR scheme 1 Expected Zone D Original Request Zone S Alternative Request Zone 20
  • 21. Variations and Optimizations (cont.)  Adaptation of request zone  If an intermediate node I holds a more recent location information of D, it can update the request zone Adapted Request Zone as per node I D J Adapted Request Zone Initial Request Zone I as per node J S 21
  • 22. Variations and Optimizations (cont.)  Adaptation of request zone  Even though LAR scheme 2 does not explicitly define request zone, the zone that the source node ask can be seen as a circular zone D DISTs DISTi I S 22
  • 23. Variations and Optimizations (cont.)  Local search  Allow any intermediate node I detecting route error to initiate a route discovery  Node I uses a request zone based on its own location information for node D D D I I S S Request Zone determined by S Request Zone determined by I 23
  • 24. Conclusion  Location information significantly lower routing overhead  Various optimizations can be done to adjust LAR to a certain network 24