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7 (a) Queuing theory is the study of waiting in all various guises in everyday life and uses queuing models to represent various types of

7 (a) Queuing theory is the study of waiting in all various guises in everyday life and uses queuing models to represent various types of queuing systems that arises in practice. Critically outline the basic queuing process. AN [ 8 ] 4 (b) A fast shop market realizes that 18 customers per hour arrive at checkout counter() and 28 customers per hour can be check out(), compute these various operating characteristics , (i)how many customers, on average, will be in the queuing system. (ii)the probability that no customer will be in the system. (iii)how many customers, on average, will be in the waiting line. (iv) the average time in the system per customer. (v)the average time in the waiting line per customer. (vi) the Probability that the server will be busy and the customer must Wait. (vii)the Probability that the server will be idle and a customer can be served.

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