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Explore various modeling techniques like Markov models to analyze host load, considering desirable properties and performance parameters for accurate results.
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Modeling Host Load Peter A. Dinda Thesis Seminar 2/9/98
Outline • Why model host load? • Desirable properties • Modeling techniques • Results of Markov modeling
Why Model Host Load? [tmin,tmax] ? • Load partially determines exec time • Benchmarks for trace-based simulation • Classification scheme for load traces • Generalization of simulation results • Performance in terms of model parameters
Desirable Properties • Classification power • Few parameters • Significant properties of original traces • Generation of load traces • Traces with similar significant properties • Prediction of load • Mean square error sense
Modeling Techniques • Markov models • Stochastic processes • AR, MA, ARMA, ARIMA, ...
Markov Modeling • Simple model • Discretized load levels map to states • O(n^2) transitions • Vector model • State includes last d discretized levels • Capture momentum, acceleration, ... • O(n^2d) transitions • 39 load traces (1 Hz sample rate, 1 week)