Choosing a Good Appointment System—A Study of Queues of the Type (D, M, 1)

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Abstract
A queuing system with exponentially distributed service times and constant interarrival times is studied for the case with one service station. The characteristics of the queue are determined both in its transient part and in its steady part. The cost of the system is defined as a linear sum of the cost of keeping customers waiting for service and the cost of having the service station idle. The statistical distribution of this cost is derived and it is also shown how its mean may be minimized by proper choices of the constant interarrival time and the initial numbers of customers in the queue.

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