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Finite-Source Queueing Systems and their Applications

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János Sztrik 2001/08/05<br />

Static Priorities: The selection depends on priorities that are permanently<br />

assigned to the job. Within a class of jobs with the same priority, FCFS is<br />

used to select the next job to be processed.<br />

Dynamic Priorities: The selection depends on dynamic priorities that alter with<br />

the passing of time.<br />

Preemption: If priority or LCFS discipline is used, then the job currently being<br />

processed is interrupted <strong>and</strong> preempted if there is a job in the queue with a<br />

higher priority.<br />

As an example of Kendall’s notation, the expression<br />

M/G/1 – LCFS preemptive resume (PR)<br />

describes an elementary queueing system with exponentially distributed<br />

interarrival times, arbitrarily distributed service times, <strong>and</strong> a single server. The<br />

queueing discipline is LCFS where a newly arriving job interrupts the job<br />

currently being processed <strong>and</strong> replaces it in the server. The servicing of the<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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