Finite-Source Queueing Systems and their Applications
Finite-Source Queueing Systems and their Applications
Finite-Source Queueing Systems and their Applications
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János Sztrik 2001/08/05<br />
Example 2<br />
Suppose a single unloader system at which trains arrive which bring coal from<br />
various mines. There are N trains involved in the coal transport. The coal<br />
unloader can h<strong>and</strong>le only one train at a time <strong>and</strong> the unloading time per train<br />
has an exponential distribution with mean 1/µ. The unloader is subject to<br />
breakdowns when the unloader is in operation. The operating time of an<br />
unloader has an exponential distribution with mean 1/η <strong>and</strong> the time to<br />
repair a broken unloader is exponentially distributed with mean 1/ξ. The<br />
unloading of the train that is in service when the unloader breaks down is<br />
resumed as soon as the repair of the unloader is completed. An unloaded<br />
train returns to the mines for another trainload of coal. The time for a train<br />
to complete a trip from the unloader to the mines <strong>and</strong> back is assumed to<br />
have an exponential distribution with mean 1/λ.<br />
<strong>Finite</strong>-<strong>Source</strong> <strong>Queueing</strong> <strong>Systems</strong> <strong>and</strong> <strong>their</strong> <strong>Applications</strong>
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