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- W1504118992 abstract "ABSTRACTThe Shortest Queue First service discipline is analyzed for two asymmetric queues. For Poisson job arrivals and exponentially distributed service times, we first show that the Laplace transform of workloads in each queue is related to the solution M of a two-dimensional functional equation with given matrices Q1, Q2 and vector L, where each function h1 and h2 is algebraically defined on a rational cubic curve. The solution M is then represented by a series expansion involving the semi-group generated by the pair of functions h1 and h2. This series expansion together with analytic continuation properties of the solution M enables us to calculate the empty queue probabilities, the mean queue occupancies and to characterize the tail behavior of the workload distribution at each queue.Regarding the application to congestion control in telecommunication networks, our analysis shows that, without explicit marking, the SQF discipline yields a good performance in terms of mean waiting time for flows with ..." @default.
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- W1504118992 date "2017-01-31" @default.
- W1504118992 modified "2023-09-25" @default.
- W1504118992 title "Stationary analysis of the “Shortest Queue First” service policy: The asymmetric case" @default.
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- W1504118992 doi "https://doi.org/10.1080/15326349.2016.1269291" @default.
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