The statistical behavior of a loop service system is studied. The system consists of a main station, a server and N stations arranged on a loop. Customers arrive at each station according to a random process. The server makes successive tours along the loop bringing customers from the N stations to the main station. Two related measures of the grade of service are considered: the average queue length and the average virtual waiting time at each station.
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Konheim et al. (1972) studied this question.
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