Analyze system scalability with the Universal Scalability Law

This is an R package to analyze system performance data with the Universal Scalability Law.

The Universal Scalability Law (USL) was developed by Dr. Neil J. Gunther. It can be used to analyze system performance data in order to learn more about the scalability limitations of the system.

Details are presented in the book Guerrilla Capacity Planning and on the authors website.

Example

Here is an example for the scalability analysis of a Sun SPARCcenter 2000 in the SPEC SDM 91 benchmark. The data used is available for download from the SPEC website and also included as a demo dataset.

library(usl)
# Load data from the SPEC SDM91 benchmarkdata(specsdm91)
specsdm91
# Analyze "throughput" by "load" for the "specsdm91" data
usl.model <-usl(throughput ~load, specsdm91)
# Show a model summary including scalability coefficientssummary(usl.model)
# Predict the location of the maximum in the scalability functionpeak.scalability(usl.model)
# Plot original data and computed scalability functionplot(specsdm91, pch=16)
plot(usl.model, col="red", add=TRUE)

The summary command returns the following output:

Call:
usl(formula = throughput ~ load, data = specsdm91)
Scale Factor for normalization: 64.9
Efficiency:
Min 1Q Median 3Q Max
0.1214 0.2254 0.3966 0.7799 1.0000
Residuals:
Min 1Q Median 3Q Max
-70.89 -23.59 19.39 86.14 274.88
Coefficients:
Estimate Std. Error t value Pr(>|t|)
sigma 1.705e-02 3.318e-03 5.137 0.00365 **
kappa 7.892e-05 2.492e-05 3.167 0.02489 *
---
Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
Residual standard error: 140.6 on 5 degrees of freedom
Multiple R-squared: 0.9624, Adjusted R-squared: 0.9549

The following image shows the plotted output:

Installation

The package is available from CRAN. Use the following command to install the package from the repository:

install.packages("usl")

Documentation

In addition to the package documentation there is also a package vignette available. Install the package and use the following command to open the vignette: