Class Pfqn_propfairKt

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      final static Ret.pfqnNcXQ pfqn_propfair(Matrix L, Matrix N, Matrix Z) Compute the proportionally fair allocation approximationEstimate the normalizing constant using a convex optimization program that is asymptotically exact in models with single-server PS queues only.
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        clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait
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      • pfqn_propfair

         final static Ret.pfqnNcXQ pfqn_propfair(Matrix L, Matrix N, Matrix Z)

        Compute the proportionally fair allocation approximation

        Estimate the normalizing constant using a convex optimization program that is asymptotically exact in models with single-server PS queues only. The underlying optimization program is convex. The script implements a heuristic to estimate the solution in the presence of delay stations.

        References: Schweitzer, P. J. (1979). Approximate analysis of multiclass closed networks of queues. In Proceedings of the International Conference on Stochastic Control and Optimization. Free Univ., Amsterdam.

        Walton, Proportional fairness and its relationship with multi-class queueing networks, 2009.

        Parameters:
        L -
        • demands at all stations

        N -
        • number of jobs for each class

        Z -
        • think time for each class

        Returns:

        normalizing constant, its logarithm, and performance metrics