NDLI: A first-principles approach to constructing transfer functions for admission control in computing systems

Content Provider	IEEE Xplore Digital Library
Author	Hellerstein, J.L. Yixin Diao Parekh, S.
Copyright Year	2002
Description	Author affiliation: IBM T. J. Watson Res. Center, Hawthorne, NY, USA (Hellerstein, J.L.; Yixin Diao; Parekh, S.)
Abstract	This paper develops a first principles approach to constructing parameterized transfer function models for an abstraction of admission control, the M/M/1/K queueing system. We linearize this system using the first order model y(k+1)=ay(k)+bu(k), where y is the output (e.g., number in system) and u is the buffer size. The pole a is estimated as the lag 1 autocorrelation of y at steady state, and b is estimated using dy/du. With these analytic models for a and b, we study the effects of workload (i.e., arrival and service rates) and sample times. We show that a and b move in opposite directions at large utilizations, an effect that can have significant. implications on closed loop poles. Further, the DC gain for response time and number in system drops to 0 as buffer size increases, and the DC gain of number in system converges to 0.5 as workload intensity becomes large. These insights may aid in designing robust and/or adaptive controllers for computing systems. Finally, our models provide insight into why the integral control of a Lotus Notes e-mail server has an oscillatory response to a change in reference value.
Sponsorship	IEEE Control Syst. Soc
Starting Page	2906
Ending Page	2912
File Size	534083
Page Count	7
File Format	PDF
ISBN	0780375165
ISSN	01912216
DOI	10.1109/CDC.2002.1184291
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2002-12-10
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Transfer functions Admission control State estimation Autocorrelation Steady-state Delay Robust control Programmable control Adaptive control Control systems
Content Type	Text
Resource Type	Article

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