Class Pfqn_propfairKt
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- All Implemented Interfaces:
public final class Pfqn_propfairKt
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Method Summary
Modifier and Type Method Description 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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Method Detail
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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
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