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    <div class="moz-cite-prefix">Dear Ado,<br>
      <br>
         the term "implicit withdrawal" applies to a BGP update U_2 that
      comes to a BGP speaker from the same peer P that sent a previous
      update U_1. When the peer P sends the second update U_2, the
      meaning is that the previous update U_1 is implicitly withdrawn by
      P and replaced with U_2. In other words, the sequence U_1, U_2 has
      the same effect of U_1, Withdrawal, U_2.     <br>
         The four BGP announcements that you list in your email do not
      come all from the same peer of router 192.65.185.40. However, the
      third announcement (FROM: 192.65.185.144, AS_PATH: 6893 3561 209
      297) is an implicit withdrawal of the first (FROM: 192.65.185.144,
      AS_PATH: 6893 8938 1 297). There is only one implicit withdrawal
      in the sequence. <br>
         After all four announcements are received by router
      192.65.185.40, router 192.65.185.40 has to choose its best route
      to prefix <span id="yiv9739217820yui_3_16_0_1_1444557033460_3936"
        class="" style="color: rgb(34, 34, 34); border: 1pt none
        windowtext; padding: 0in;">192.152.102.0/24. </span><span
        id="yiv9739217820yui_3_16_0_1_1444557033460_3936" class=""
        style="color: rgb(34, 34, 34); border: 1pt none windowtext;
        padding: 0in;">The choice is among the 2nd, 3rd and 4th route,
        since the 1st announcement is implicitly withdrawn by the 3rd.</span><br>
      <br>
      Best,<br>
      Maurizio<br>
      <br>
      On 10/11/2015 12:26 PM, Ado Maja wrote:<br>
    </div>
    <blockquote
cite="mid:1916664772.2046706.1444559188541.JavaMail.yahoo@mail.yahoo.com"
      type="cite">
      <div style="color:#000; background-color:#fff;
        font-family:HelveticaNeue, Helvetica Neue, Helvetica, Arial,
        Lucida Grande, sans-serif;font-size:16px">
        <div class="" id="yiv9739217820yui_3_16_0_1_1444557033460_3848"
          style="margin-bottom: 12pt; line-height: 14.65pt;"><span
            id="yiv9739217820yui_3_16_0_1_1444557033460_3850" class=""
            style="color: rgb(34, 34, 34);">Dear all,</span></div>
        <div class="" id="yiv9739217820yui_3_16_0_1_1444557033460_3854"
          style="margin-bottom: 12pt; line-height: 14.65pt;"><span
            id="yiv9739217820yui_3_16_0_1_1444557033460_3856" class=""
            style="color: rgb(34, 34, 34);">I am trying to account for
            all implicit withdrawal messages within a certain period of
            time looking at BGP update messages collected at rrc, Ripe. </span></div>
        <div class="" id="yiv9739217820yui_3_16_0_1_1444557033460_3860"
          style="margin-bottom: 0.0001pt; background: rgb(238, 238,
          238);"><span id="yiv9739217820yui_3_16_0_1_1444557033460_3862"
            class="" style="color: rgb(34, 34, 34); border: 1pt none
            windowtext; padding: 0in;">Implicit Withdrawal Definition:
            If the sender announces a route to a currently reachable
            address and the new route is identical to the current route,
            this is a duplicate announcement. Otherwise, the sender is
            replacing the current route with a new route and this is an
            implicit withdrawal. (</span><span
            id="yiv9739217820yui_3_16_0_1_1444557033460_3864" class=""
            style="color: rgb(34, 34, 34); background: white;">Wang et
            al. in the "Observation and Analysis of BGP iBehavior under
            Stress"</span><span
            id="yiv9739217820yui_3_16_0_1_1444557033460_3866" class=""
            style="color: rgb(34, 34, 34);">)</span></div>
        <div class="" id="yiv9739217820yui_3_16_0_1_1444557033460_3870"
          style="margin-bottom: 0.0001pt; background: rgb(238, 238,
          238);"><span id="yiv9739217820yui_3_16_0_1_1444557033460_3872"
            class="" style="color: rgb(34, 34, 34);"> </span></div>
        <div class="" id="yiv9739217820yui_3_16_0_1_1444557033460_3874"
          style="margin-bottom: 12pt; line-height: 14.65pt;"><span
            id="yiv9739217820yui_3_16_0_1_1444557033460_3876" class=""
            style="color: rgb(34, 34, 34);">What I am trying to
            understand is how do I count implicit withdrawals? If for
            example, I have 4 BGP messages shown below that have same IP
            address and different AS-PATH attribute, how many implicit
            withdrawals do I have? Is it 3? If I look at consecutive
            messages that have same IP address and different AS-PATH
            attribute the result would be 3 (I compare first to the
            second, second to the third and third to the fourth –
            assuming they have same IP address and different AS-PATH I
            increment implicit withdrawals). But I have come across a
            solution that takes a first message and compares it to the
            rest of the messages. Than second message compares to the
            rest of the messages. And lastly compares the third to the
            fourth. In this case number of implicit withdrawals is 6.
            Please advise.</span></div>
        <div class="" id="yiv9739217820yui_3_16_0_1_1444557033460_3880"
          style="margin-bottom: 12pt; line-height: 14.65pt;"><span
            id="yiv9739217820yui_3_16_0_1_1444557033460_3882" class=""
            style="color: rgb(34, 34, 34);">Thanks for your help.</span></div>
        <div class="" id="yiv9739217820yui_3_16_0_1_1444557033460_3886"
          style="margin-bottom: 0.0001pt; background: rgb(238, 238,
          238);"><span id="yiv9739217820yui_3_16_0_1_1444557033460_3888"
            class="" style="color: rgb(34, 34, 34); border: 1pt none
            windowtext; padding: 0in;">TIME: 2001-9-16 00:00:06</span></div>
        <div class="" id="yiv9739217820yui_3_16_0_1_1444557033460_3892"
          style="margin-bottom: 0.0001pt; background: rgb(238, 238,
          238);"><span id="yiv9739217820yui_3_16_0_1_1444557033460_3894"
            class="" style="color: rgb(34, 34, 34); border: 1pt none
            windowtext; padding: 0in;">TYPE: BGP4MP/BGP4MP_MESSAGE
            AFI_IP</span></div>
        <div class="" id="yiv9739217820yui_3_16_0_1_1444557033460_3898"
          style="margin-bottom: 0.0001pt; background: rgb(238, 238,
          238);"><span id="yiv9739217820yui_3_16_0_1_1444557033460_3900"
            class="" style="color: rgb(34, 34, 34); border: 1pt none
            windowtext; padding: 0in;">FROM: 192.65.185.144</span></div>
        <div class="" id="yiv9739217820yui_3_16_0_1_1444557033460_3904"
          style="margin-bottom: 0.0001pt; background: rgb(238, 238,
          238);"><span id="yiv9739217820yui_3_16_0_1_1444557033460_3906"
            class="" style="color: rgb(34, 34, 34); border: 1pt none
            windowtext; padding: 0in;">TO: 192.65.185.40</span></div>
        <div class="" id="yiv9739217820yui_3_16_0_1_1444557033460_3910"
          style="margin-bottom: 0.0001pt; background: rgb(238, 238,
          238);"><span id="yiv9739217820yui_3_16_0_1_1444557033460_3912"
            class="" style="color: rgb(34, 34, 34); border: 1pt none
            windowtext; padding: 0in;">BGP PACKET TYPE: UPDATE</span></div>
        <div class="" id="yiv9739217820yui_3_16_0_1_1444557033460_3916"
          style="margin-bottom: 0.0001pt; background: rgb(238, 238,
          238);"><span id="yiv9739217820yui_3_16_0_1_1444557033460_3918"
            class="" style="color: rgb(34, 34, 34); border: 1pt none
            windowtext; padding: 0in;">ORIGIN: IGP</span></div>
        <div class="" id="yiv9739217820yui_3_16_0_1_1444557033460_3922"
          style="margin-bottom: 0.0001pt; background: rgb(238, 238,
          238);"><span id="yiv9739217820yui_3_16_0_1_1444557033460_3924"
            class="" style="color: rgb(34, 34, 34); border: 1pt none
            windowtext; padding: 0in;">AS_PATH: 6893 8938 1 297</span></div>
        <div class="" id="yiv9739217820yui_3_16_0_1_1444557033460_3928"
          style="margin-bottom: 0.0001pt; background: rgb(238, 238,
          238);"><span id="yiv9739217820yui_3_16_0_1_1444557033460_3930"
            class="" style="color: rgb(34, 34, 34); border: 1pt none
            windowtext; padding: 0in;">NEXT_HOP: 192.65.185.144</span></div>
        <div class="" id="yiv9739217820yui_3_16_0_1_1444557033460_3934"
          style="margin-bottom: 0.0001pt; background: rgb(238, 238,
          238);"><span id="yiv9739217820yui_3_16_0_1_1444557033460_3936"
            class="" style="color: rgb(34, 34, 34); border: 1pt none
            windowtext; padding: 0in;">ANNOUNCED: 192.152.102.0/24</span></div>
        <div class="" id="yiv9739217820yui_3_16_0_1_1444557033460_3940"
          style="margin-bottom: 0.0001pt; background: rgb(238, 238,
          238);"><span id="yiv9739217820yui_3_16_0_1_1444557033460_3942"
            class="" style="color: rgb(34, 34, 34); border: 1pt none
            windowtext; padding: 0in;"> </span></div>
        <div class="" id="yiv9739217820yui_3_16_0_1_1444557033460_3944"
          style="margin-bottom: 0.0001pt; background: rgb(238, 238,
          238);"><span id="yiv9739217820yui_3_16_0_1_1444557033460_3946"
            class="" style="color: rgb(34, 34, 34); border: 1pt none
            windowtext; padding: 0in;">TIME: 2001-9-16 00:00:18</span></div>
        <div class="" id="yiv9739217820yui_3_16_0_1_1444557033460_3950"
          style="margin-bottom: 0.0001pt; background: rgb(238, 238,
          238);"><span id="yiv9739217820yui_3_16_0_1_1444557033460_3952"
            class="" style="color: rgb(34, 34, 34); border: 1pt none
            windowtext; padding: 0in;">TYPE: BGP4MP/BGP4MP_MESSAGE
            AFI_IP</span></div>
        <div class="" id="yiv9739217820yui_3_16_0_1_1444557033460_3956"
          style="margin-bottom: 0.0001pt; background: rgb(238, 238,
          238);"><span id="yiv9739217820yui_3_16_0_1_1444557033460_3958"
            class="" style="color: rgb(34, 34, 34); border: 1pt none
            windowtext; padding: 0in;">FROM: 192.65.184.3</span></div>
        <div class="" id="yiv9739217820yui_3_16_0_1_1444557033460_3962"
          style="margin-bottom: 0.0001pt; background: rgb(238, 238,
          238);"><span id="yiv9739217820yui_3_16_0_1_1444557033460_3964"
            class="" style="color: rgb(34, 34, 34); border: 1pt none
            windowtext; padding: 0in;">TO: 192.65.185.40</span></div>
        <div class="" id="yiv9739217820yui_3_16_0_1_1444557033460_3968"
          style="margin-bottom: 0.0001pt; background: rgb(238, 238,
          238);"><span id="yiv9739217820yui_3_16_0_1_1444557033460_3970"
            class="" style="color: rgb(34, 34, 34); border: 1pt none
            windowtext; padding: 0in;">BGP PACKET TYPE: UPDATE</span></div>
        <div class="" id="yiv9739217820yui_3_16_0_1_1444557033460_3974"
          style="margin-bottom: 0.0001pt; background: rgb(238, 238,
          238);"><span id="yiv9739217820yui_3_16_0_1_1444557033460_3976"
            class="" style="color: rgb(34, 34, 34); border: 1pt none
            windowtext; padding: 0in;">ORIGIN: IGP</span></div>
        <div class="" id="yiv9739217820yui_3_16_0_1_1444557033460_3980"
          style="margin-bottom: 0.0001pt; background: rgb(238, 238,
          238);"><span id="yiv9739217820yui_3_16_0_1_1444557033460_3982"
            class="" style="color: rgb(34, 34, 34); border: 1pt none
            windowtext; padding: 0in;">AS_PATH: 513 10764 6509 297</span></div>
        <div class="" id="yiv9739217820yui_3_16_0_1_1444557033460_3986"
          style="margin-bottom: 0.0001pt; background: rgb(238, 238,
          238);"><span id="yiv9739217820yui_3_16_0_1_1444557033460_3988"
            class="" style="color: rgb(34, 34, 34); border: 1pt none
            windowtext; padding: 0in;">NEXT_HOP: 192.65.185.9</span></div>
        <div class="" id="yiv9739217820yui_3_16_0_1_1444557033460_3992"
          style="margin-bottom: 0.0001pt; background: rgb(238, 238,
          238);"><span id="yiv9739217820yui_3_16_0_1_1444557033460_3994"
            class="" style="color: rgb(34, 34, 34); border: 1pt none
            windowtext; padding: 0in;">ANNOUNCED: 192.152.102.0/24</span></div>
        <div class="" id="yiv9739217820yui_3_16_0_1_1444557033460_3998"
          style="margin-bottom: 0.0001pt; background: rgb(238, 238,
          238);"><span id="yiv9739217820yui_3_16_0_1_1444557033460_4000"
            class="" style="color: rgb(34, 34, 34); border: 1pt none
            windowtext; padding: 0in;"> </span></div>
        <div class="" id="yiv9739217820yui_3_16_0_1_1444557033460_4002"
          style="margin-bottom: 0.0001pt; background: rgb(238, 238,
          238);"><span id="yiv9739217820yui_3_16_0_1_1444557033460_4004"
            class="" style="color: rgb(34, 34, 34); border: 1pt none
            windowtext; padding: 0in;">TIME: 2001-9-16 00:00:36</span></div>
        <div class="" id="yiv9739217820yui_3_16_0_1_1444557033460_4008"
          style="margin-bottom: 0.0001pt; background: rgb(238, 238,
          238);"><span id="yiv9739217820yui_3_16_0_1_1444557033460_4010"
            class="" style="color: rgb(34, 34, 34); border: 1pt none
            windowtext; padding: 0in;">TYPE: BGP4MP/BGP4MP_MESSAGE
            AFI_IP</span></div>
        <div class="" id="yiv9739217820yui_3_16_0_1_1444557033460_4014"
          style="margin-bottom: 0.0001pt; background: rgb(238, 238,
          238);"><span id="yiv9739217820yui_3_16_0_1_1444557033460_4016"
            class="" style="color: rgb(34, 34, 34); border: 1pt none
            windowtext; padding: 0in;">FROM: 192.65.185.144</span></div>
        <div class="" id="yiv9739217820yui_3_16_0_1_1444557033460_4020"
          style="margin-bottom: 0.0001pt; background: rgb(238, 238,
          238);"><span id="yiv9739217820yui_3_16_0_1_1444557033460_4022"
            class="" style="color: rgb(34, 34, 34); border: 1pt none
            windowtext; padding: 0in;">TO: 192.65.185.40</span></div>
        <div class="" id="yiv9739217820yui_3_16_0_1_1444557033460_4026"
          style="margin-bottom: 0.0001pt; background: rgb(238, 238,
          238);"><span id="yiv9739217820yui_3_16_0_1_1444557033460_4028"
            class="" style="color: rgb(34, 34, 34); border: 1pt none
            windowtext; padding: 0in;">BGP PACKET TYPE: UPDATE</span></div>
        <div class="" id="yiv9739217820yui_3_16_0_1_1444557033460_4032"
          style="margin-bottom: 0.0001pt; background: rgb(238, 238,
          238);"><span id="yiv9739217820yui_3_16_0_1_1444557033460_4034"
            class="" style="color: rgb(34, 34, 34); border: 1pt none
            windowtext; padding: 0in;">ORIGIN: IGP</span></div>
        <div class="" id="yiv9739217820yui_3_16_0_1_1444557033460_4038"
          style="margin-bottom: 0.0001pt; background: rgb(238, 238,
          238);"><span id="yiv9739217820yui_3_16_0_1_1444557033460_4040"
            class="" style="color: rgb(34, 34, 34); border: 1pt none
            windowtext; padding: 0in;">AS_PATH: 6893 3561 209 297</span></div>
        <div class="" id="yiv9739217820yui_3_16_0_1_1444557033460_4044"
          style="margin-bottom: 0.0001pt; background: rgb(238, 238,
          238);"><span id="yiv9739217820yui_3_16_0_1_1444557033460_4046"
            class="" style="color: rgb(34, 34, 34); border: 1pt none
            windowtext; padding: 0in;">NEXT_HOP: 192.65.185.144</span></div>
        <div class="" id="yiv9739217820yui_3_16_0_1_1444557033460_4050"
          style="margin-bottom: 0.0001pt; background: rgb(238, 238,
          238);"><span id="yiv9739217820yui_3_16_0_1_1444557033460_4052"
            class="" style="color: rgb(34, 34, 34); border: 1pt none
            windowtext; padding: 0in;">ANNOUNCED: 192.152.102.0/24</span></div>
        <div class="" id="yiv9739217820yui_3_16_0_1_1444557033460_4056"
          style="margin-bottom: 0.0001pt; background: rgb(238, 238,
          238);"><span id="yiv9739217820yui_3_16_0_1_1444557033460_4058"
            class="" style="color: rgb(34, 34, 34); border: 1pt none
            windowtext; padding: 0in;"> </span></div>
        <div class="" id="yiv9739217820yui_3_16_0_1_1444557033460_4060"
          style="margin-bottom: 0.0001pt; background: rgb(238, 238,
          238);"><span id="yiv9739217820yui_3_16_0_1_1444557033460_4062"
            class="" style="color: rgb(34, 34, 34); border: 1pt none
            windowtext; padding: 0in;">TIME: 2001-9-16 00:00:44</span></div>
        <div class="" id="yiv9739217820yui_3_16_0_1_1444557033460_4066"
          style="margin-bottom: 0.0001pt; background: rgb(238, 238,
          238);"><span id="yiv9739217820yui_3_16_0_1_1444557033460_4068"
            class="" style="color: rgb(34, 34, 34); border: 1pt none
            windowtext; padding: 0in;">TYPE: BGP4MP/BGP4MP_MESSAGE
            AFI_IP</span></div>
        <div class="" id="yiv9739217820yui_3_16_0_1_1444557033460_4072"
          style="margin-bottom: 0.0001pt; background: rgb(238, 238,
          238);"><span id="yiv9739217820yui_3_16_0_1_1444557033460_4074"
            class="" style="color: rgb(34, 34, 34); border: 1pt none
            windowtext; padding: 0in;">FROM: 192.65.185.130</span></div>
        <div class="" id="yiv9739217820yui_3_16_0_1_1444557033460_4078"
          style="margin-bottom: 0.0001pt; background: rgb(238, 238,
          238);"><span id="yiv9739217820yui_3_16_0_1_1444557033460_4080"
            class="" style="color: rgb(34, 34, 34); border: 1pt none
            windowtext; padding: 0in;">TO: 192.65.185.40</span></div>
        <div class="" id="yiv9739217820yui_3_16_0_1_1444557033460_4084"
          style="margin-bottom: 0.0001pt; background: rgb(238, 238,
          238);"><span id="yiv9739217820yui_3_16_0_1_1444557033460_4086"
            class="" style="color: rgb(34, 34, 34); border: 1pt none
            windowtext; padding: 0in;">BGP PACKET TYPE: UPDATE</span></div>
        <div class="" id="yiv9739217820yui_3_16_0_1_1444557033460_4090"
          style="margin-bottom: 0.0001pt; background: rgb(238, 238,
          238);"><span id="yiv9739217820yui_3_16_0_1_1444557033460_4092"
            class="" style="color: rgb(34, 34, 34); border: 1pt none
            windowtext; padding: 0in;">ORIGIN: IGP</span></div>
        <div class="" id="yiv9739217820yui_3_16_0_1_1444557033460_4096"
          style="margin-bottom: 0.0001pt; background: rgb(238, 238,
          238);"><span id="yiv9739217820yui_3_16_0_1_1444557033460_4098"
            class="" style="color: rgb(34, 34, 34); border: 1pt none
            windowtext; padding: 0in;">AS_PATH: 559 8933 6509 297</span></div>
        <div class="" id="yiv9739217820yui_3_16_0_1_1444557033460_4102"
          style="margin-bottom: 0.0001pt; background: rgb(238, 238,
          238);"><span id="yiv9739217820yui_3_16_0_1_1444557033460_4104"
            class="" style="color: rgb(34, 34, 34); border: 1pt none
            windowtext; padding: 0in;">NEXT_HOP: 192.65.185.130</span></div>
        <div class="" dir="ltr"
          id="yiv9739217820yui_3_16_0_1_1444557033460_4108"
          style="margin-bottom: 0.0001pt; background: rgb(238, 238,
          238);"><span id="yiv9739217820yui_3_16_0_1_1444557033460_4110"
            class="" style="color: rgb(34, 34, 34); border: 1pt none
            windowtext; padding: 0in;">ANNOUNCED: 192.152.102.0/24</span></div>
      </div>
    </blockquote>
    <br>
    <br>
    <pre class="moz-signature" cols="72">-- 
Maurizio "Titto" Patrignani
Dipartimento di Ingegneria, Universita' Roma Tre
Tel +39.06.57333233, Fax +39.06.57333612
<a class="moz-txt-link-freetext" href="http://www.dia.uniroma3.it/~patrigna">http://www.dia.uniroma3.it/~patrigna</a>

</pre>
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