26. In a queue with unlimited waiting space, arrivals are Poisson (parameter ) and service times are
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26. In a queue with unlimited waiting space, arrivals are Poisson (parameter λ)
and service times are exponentially distributed (parameter μ). However, the server waits until K people are present before beginning service on the first customer;
thereafter, he services one at a time until all K units, and all subsequent arrivals, are serviced. The server is then “idle” until K new arrivals have occurred.
(a) Define an appropriate state space, draw the transition diagram, and set up the balance equations.
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