Analysis of the M/M/N/N Queue with Two Types of Arrival Process: Applications to Future Mobile Radio Systems

<table>Expected number of users in SUE mode versus <svg height="16.450001" id="M179" style="vertical-align:-3.39066pt" version="1.1" viewbox="0 0 14.5875 16.450001" width="14.5875" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg>. The system parameters are <svg height="11.375" id="M180" style="vertical-align:-0.1638pt" version="1.1" viewbox="0 0 50.724998 11.375" width="50.724998" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,11.112)"><use xlink:href="#x1D441"></use></g><g transform="matrix(.017,-0,0,-.017,19.628,11.112)"><use xlink:href="#x3D"></use></g><g transform="matrix(.017,-0,0,-.017,34.332,11.112)"><use xlink:href="#x32"></use></g><g transform="matrix(.017,-0,0,-.017,42.491,11.112)"><use xlink:href="#x30"></use></g>
</svg>, <svg height="14.875" id="M181" style="vertical-align:-5.73163pt" version="1.1" viewbox="0 0 51.174999 14.875" width="51.174999" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,7.675)"><use xlink:href="#x1D707"></use></g>
<g transform="matrix(.012,-0,0,-.012,9.5,11.762)"><use xlink:href="#x1D45D"></use></g>
<g transform="matrix(.017,-0,0,-.017,21.9,7.675)"><use xlink:href="#x3D"></use></g><g transform="matrix(.017,-0,0,-.017,36.587,7.675)"><use xlink:href="#x1D707"></use></g>
<g transform="matrix(.012,-0,0,-.012,46.037,11.762)"><use xlink:href="#x1D460"></use></g>
</svg> and <svg height="19.362499" id="M182" style="vertical-align:-5.73163pt" version="1.1" viewbox="0 0 44.762501 19.362499" width="44.762501" 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="#x1D706"></use></g>
<g transform="matrix(.012,-0,0,-.012,9.45,16.25)"><use xlink:href="#x1D45D"></use></g>
<g transform="matrix(.017,-0,0,-.017,21.85,12.162)"><use xlink:href="#x3D"></use></g><g transform="matrix(.017,-0,0,-.017,36.537,12.162)"><use xlink:href="#x31"></use></g>
</svg>.</table>

Journal of Applied Mathematics

fig4

Figure 4

Figure 4: Analysis of the M/M/N/N Queue with Two Types of Arrival Process: Applications to Future Mobile Radio Systems 