IEEE/ACM Transactions on Networking (TON)
Effective bandwidths with priorities
IEEE/ACM Transactions on Networking (TON)
Large deviations and the generalized processor sharing scheduling for a two-queue system
Queueing Systems: Theory and Applications
Large deviations and the generalized processor sharing scheduling for a multiple-queue system
Queueing Systems: Theory and Applications
Optimal trajectory to overflow in a queue fed by a large number of sources
Queueing Systems: Theory and Applications
Large deviations analysis of the generalized processor sharing policy
Queueing Systems: Theory and Applications
Bandwidth allocation for multiple qualities of service using generalized processor sharing
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Queueing Systems: Theory and Applications
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Queueing Systems: Theory and Applications
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This paper develops a rather general and easy-to-use methodology how to obtain good approximations for queue length distributions in priority and generalized processor sharing systems where the cumulative input traffic streams are modeled as general Gaussian processes with stationary increments. The idea is to identify the most probable path in the threshold-exceeding event, or a heuristic approximation of it, and then to use probability estimates based on this path. The method is particularly useful for long-range dependent traffic and complicated traffic mixes, which are difficult to handle with traditional queueing theory.