Suppose in the model below, that we also wanted to obtain information about the

Question

Suppose in the model below, that we also wanted to obtain information about the amount of idle time a server would experience in a day. Explain how this could be accomplished.

7.2 A Single-Server Queueing System Consider a service station in which customers arrive in accordance witha nonhomogeneous Poisson process with intensity function (t), t 0, There is a single server, and upon arrival a customer either enters service if this server is free at that moment or else joins the waiting queue if the server is busy. When the server completes serving a customer, it then either begins serving the customer that had been waiting the longest (the so-called "first come first served" discipline) if y waiting customers, or, if there are no waiting customers, it remains there are an free until the next customer's arrival. The amount of time it takes to service a

Explanation / Answer

Note down the time whenever the server completes serving a customer and also note down the time whenever a new customer arrives for service from the waiting list if both time are same then server is not free else take the diifference of both the time and add it into the variable named idletime.

idletime=idletime+difference of time.

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