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STATIONARY DISTRIBUTION CONVERGENCE FOR A MULTICLASS SINGLE-SERVER QUEUE IN HEAVY TRAFFIC
2012
Scientiae mathematicae Japonicae
In the author's recent paper [11] , it is established that in a multiclass single-server queue with regular service disciplines, the stationary distributions and their moments for workload as well as for queue length can be approximated by appropriate exponential distributions and their moments in the heavy-traffic regime. In this work, relaxing the assumption of moment generating function on the primitives in that paper to the moment condition of second-order or higher-order, we obtain the
doi:10.32219/isms.75.3_317
fatcat:2h3tzj4mwvh4zpxh5vqch6jbp4