Service in a Loop System
Alan G. Konheim, Bernd Werner Meister · Journal of the ACM · 1972
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.