The Laplace transform of queue length and waiting time distributions can be computed when the waiting time distribution has a rational Laplace transform.
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The Laplace transform of queue length and waiting time distributions can be computed when the waiting time distribution has a rational Laplace transform.
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Lindley's integral equation is a relationship satisfied by the stationary waiting time distribution which can be solved using the Wiener Hopf method.
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For customers who arrive to find the queue as a stationary process, the Laplace transform of the distribution of response times experienced by customers was published in 1970, The waiting time distribution ( response time less service time ) for a customer requiring " x " amount of service has transform