Abstract Description of Internet Traffic of Generalized Cauchy Type

<table>Modeling ACF of AMP-1131669938-1.psize in <svg height="12.0625" id="M268" style="vertical-align:-0.20474pt" version="1.1" viewbox="0 0 13.2625 12.0625" width="13.2625" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,11.738)"><path d="M417 653l-9 -18q-48 22 -111 22q-76 0 -125 -34q-48 -35 -48 -82q0 -44 37 -74t102 -39q68 109 177 175q108 66 197 66q45 0 74 -20.5t29 -55.5q0 -50 -58 -98q-59 -48 -150 -76q-93 -29 -189 -29q-41 -61 -41 -128q0 -30 17.5 -48.5t48.5 -18.5q104 0 269 151l15 -16
q-35 -35 -66 -121q-83 -224 -330 -224q-72 0 -121 33q-48 34 -48 77q0 30 16.5 49.5t42.5 19.5q20 0 35.5 -14t15.5 -33q0 -22 -12 -36.5t-32 -14.5q-22 0 -29 13h-2q5 -24 41 -44q37 -19 83 -19q84 0 143 46.5t111 145.5l-1 1q-67 -44 -138 -44q-61 0 -99 35t-38 92
q0 54 26 106q-79 13 -123 50t-44 93q0 61 59 103q58 43 148 43q71 0 127 -34zM699 590q0 20 -16 31t-41 11q-66 0 -149 -64q-84 -63 -132 -148q81 0 162 26q80 26 128 65.5t48 78.5z" id="x1D4A2"></path></g>
</svg>. (a) Modeled ACF in <svg height="12.0625" id="M269" style="vertical-align:-0.20474pt" version="1.1" viewbox="0 0 13.2625 12.0625" width="13.2625" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,11.738)"><use xlink:href="#x1D4A2"></use></g>
</svg>. (b) Fitting the data: dot line, <svg height="15.1125" id="M270" style="vertical-align:-2.3205pt" version="1.1" viewbox="0 0 27.612499 15.1125" width="27.612499" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,12.162)"><use xlink:href="#x1D45F"></use></g><g transform="matrix(.017,-0,0,-.017,7.236,12.162)"><use xlink:href="#x28"></use></g><g transform="matrix(.017,-0,0,-.017,13.118,12.162)"><use xlink:href="#x1D458"></use></g><g transform="matrix(.017,-0,0,-.017,21.668,12.162)"><use xlink:href="#x29"></use></g>
</svg>; solid line, <svg height="16.6" id="M271" style="vertical-align:-3.50803pt" version="1.1" viewbox="0 0 53.75 16.6" width="53.75" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,12.162)"><use xlink:href="#x1D445"></use></g><g transform="matrix(.017,-0,0,-.017,11.01,12.162)"><path d="M54 437h47v21q0 48 11 83q23 72 77 118q55 46 110 53q53 -3 79 -34q13 -16 5 -35q-5 -13 -19 -24t-27 3q-37 37 -81 37q-34 0 -53 -29q-24 -37 -23 -153v-40h118q5 -7 1.5 -21t-11.5 -19h-108v-287q0 -55 13 -67t73 -18v-25h-236v26q49 5 60 16.5t11 60.5v294h-70l-4 11z
" id="x66"></path></g><g transform="matrix(.017,-0,0,-.017,16.041,12.162)"><use xlink:href="#x67"></use></g><g transform="matrix(.017,-0,0,-.017,24.065,12.162)"><path d="M524 0h-209v26q44 5 55 18t11 65v167q0 114 -91 114q-50 0 -109 -51v-235q0 -50 10 -61.5t55 -16.5v-26h-217v26q51 5 62 17t11 61v206q0 47 -9.5 58.5t-50.5 19.5v23q82 15 139 40v-79l67 47q47 30 83 30q60 0 94.5 -40t34.5 -112v-193q0 -50 10 -61.5t54 -16.5v-26z
" id="x6E"></path></g><g transform="matrix(.017,-0,0,-.017,33.363,12.162)"><use xlink:href="#x28"></use></g><g transform="matrix(.017,-0,0,-.017,39.245,12.162)"><use xlink:href="#x1D458"></use></g><g transform="matrix(.017,-0,0,-.017,47.795,12.162)"><use xlink:href="#x29"></use></g>
</svg>.</table>

Mathematical Problems in Engineering

Abstract Description of Internet Traffic of Generalized Cauchy Type

Figure 3