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Task Interrupted By A Poisson Process, Jarrett Christopher Nantais
Task Interrupted By A Poisson Process, Jarrett Christopher Nantais
Major Papers
We consider a task which has a completion time T (if not interrupted), which is a random variable with probability density function (pdf) f(t), t>0. Before it is complete, the task may be interrupted by a Poisson process with rate lambda. If that happens, then the task must begin again, with the same completion time random variable T, but with a potentially different realization. These interruptions can reoccur, until eventually the task is finished, with a total time of W. In this paper, we will find the Laplace Transform of W in several special cases.
Queues With Server Utilization Of One, Robert Aidoo
Queues With Server Utilization Of One, Robert Aidoo
Major Papers
In most queueing systems of type GI/G/1, the stability condition requires that the server utilization be strictly less than 1. The standard exception is a D/D/1 system in which stability still holds for server utilization equal to 1. This paper presents other cases when server utilization can equal 1, and discusses their characteristics.