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Sojourn time approximations in a multi-class time-sharing server

Izagirre, Ane and Ayesta, Urtzi and Verloop, Maaike Sojourn time approximations in a multi-class time-sharing server. (2014) In: IEEE International conference on Comptuer Communications - INFOCOM 2014, 27 April 2014 - 2 May 2014 (Toronto, Canada).

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Official URL: http://dx.doi.org/10.1109/INFOCOM.2014.6848228


We study a multi-class time-sharing discipline with relative priorities known as Discriminatory Processor Sharing (DPS), which provides a natural framework to model service differentiation in systems. The analysis of DPS is extremely challenging and analytical results are scarce. We develop closed-form approximations for the mean conditional and unconditional sojourn times. The main benefits of the approximations lie in its simplicity, the fact that it applies for general service requirements with finite second moments, and that it provides insights into the dependency of the performance on the system parameters. We show that the approximation for the mean (un)conditional sojourn time of a customer is decreasing as its relative priority increases. We also show that the approximation is exact in various scenarios, and that it is uniformly bounded in the second moments of the service requirements. Finally we numerically illustrate that the approximation is accurate across a broad range of parameters.

Item Type:Conference or Workshop Item (Paper)
HAL Id:hal-01147319
Audience (conference):International conference proceedings
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Other partners > IKERBASQUE (SPAIN)
Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
Université de Toulouse > Institut National des Sciences Appliquées de Toulouse - INSA (FRANCE)
Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
Université de Toulouse > Université Toulouse - Jean Jaurès - UT2J (FRANCE)
Université de Toulouse > Université Toulouse 1 Capitole - UT1 (FRANCE)
Other partners > Universidad del País Vasco - Euskal Herriko Unibertsitatea - EHU (SPAIN)
Laboratory name:
Deposited On:22 Apr 2015 07:15

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