The Discrete-Time Bulk-Service <i>Geo/Geo/1</i> Queue with Multiple Working Vacations

<table>Effect of <svg height="12.9125" id="M480" style="vertical-align:-4.15506pt" version="1.1" viewbox="0 0 21.5625 12.9125" width="21.5625" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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<g transform="matrix(.012,-0,0,-.012,15.163,12.713)"><path d="M457 332q0 -81 -41 -161.5t-105.5 -131.5t-129.5 -51q-46 0 -79 30.5t-33 86.5q0 18 7 51q18 95 46 187q6 19 6 33q0 7 -7 7q-24 0 -78 -64l-20 23q32 48 73 77t78 29q33 0 33 -46q0 -38 -10 -70q-28 -92 -39 -152q-7 -38 -7 -57q0 -78 69 -78q68 0 118 75.5t50 194.5
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</svg> on the average queue length.</table>

Journal of Applied Mathematics

fig2

Figure 2

Figure 2: The Discrete-Time Bulk-Service <i>Geo/Geo/1</i> Queue with Multiple Working Vacations 

Journal of Applied Mathematics

The Discrete-Time Bulk-Service Geo/Geo/1 Queue with Multiple Working Vacations

Figure 2