M/G/1 Queues with workload-based balking
نویسندگان
چکیده
We consider an M/G/1 queue with balking based on the workload. An arriving customer joins the queue and stays until served only if the system workload is below a fixed level at the time of arrival. We use level-crossing argument to derive an integral equation for the steady state workload distribution. We describe a procedure to solve the equation for general distributions and we solve the equation explicitly for several special cases of service time distributions, such as Phase type, Erlang, Exponential and Deterministic service times. We illustrate the results with numerical examples.
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تاریخ انتشار 2005