MULTIPLE CHANNEL QUEUES IN HEAVY TRAFFIC.
STANFORD RESEARCH INST MENLO PARK CALIF OPERATIONS RESEARCH DEPT
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Queueing systems with r arrival channels and s service channels are studied under the condition of heavy traffic traffic intensity greater than or equal to one. Limit theorems are obtained for the random functions induced in D0,1 by the following processes total queue length, queue length at the ith server, total load, load at the ith server, virtual waiting time, waiting time of the nth arrival, number of departures, time of the nth arrival, and the time of the nth departure. Also limit theorems for certain functionals of the above processes are obtained as an immediate consequence of weak convergence.
- Operations Research