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A priority discipline for proportional service level differentiation

Published: 23 August 2011 Publication History

Abstract

We suggest a priority discipline for differentiating service levels by customer class. The priority function includes customer arrival time and a class-specific parameter. By adjusting the parameter, the priority discipline controls relative service level between traffic classes. We find out the relationship between the parameter and service level through asymptotic analysis of queue waiting time distribution for a two-class queueing system with Poisson arrival. Numerical experiments show that this relationship can be used effectively to implement proportional service level differentiation when the required service levels are high.

References

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Asmussen, S., 1987. Applied Probability and Queues. Wiley, New York.
[2]
Dovrolis, C. and Ramanathan, P. 1999. A case for relative differentiated services and the proportional differentiation model. IEEE Network. 13, 26--34.
[3]
Dovrolis, C., Stiliadis, D., and Ramanathan, P. 2002. Proportional differentiated services: delay differentiation and packet scheduling, IEEE/ACM Trans. Networking. 10, 12--26.
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Essafi, L. and Bolch, G. 2003. Performance evaluation of priority based schedulers in the Internet. In Proceedings of the 17th European Simulation Multiconference.
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Essafi, L. and Bolch, G. 2005. Time dependent priorities in call centers. I. J. of Simulation. 6, 32--38.
[6]
Leung, M. K. H., Lui, J. C. S., and Yau, D. K. Y. 2000. Characterization and performance evaluation for proportional delay differentiated services. In Proceeding of the IEEE International Conference on Network Protocols.

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QTNA '11: Proceedings of the 6th International Conference on Queueing Theory and Network Applications
August 2011
234 pages
ISBN:9781450307581
DOI:10.1145/2021216
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 23 August 2011

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Author Tags

  1. differentiated services
  2. proportional differentiation model
  3. service level

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