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By Neil J. Gunther


The major motivation for this publication stems from the commentary that the folks who such a lot have to know the way to do functionality research are quite often thwarted via the volume of

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Analyzing Computer Systems Performance: With Perl: PDQ


The major motivation for this booklet stems from the remark that the folks who so much have to know the way to do functionality research are quite often thwarted via the volume of

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9 is shown in Fig. 10. 2 Fig. 10. Reliability function R(t) corresponding to Fig. 9 the probability that the system has remained up until time t given that it was already up at time t = 0. 12) can be removed by using a different measure, the mean time between failures or MTBF. 7 Failing Big Time 37 ∞ MTBF = R(t) dt . 16) by an appropriate choice of h(t). Some of the best known reliability models are based on the exponential, and the Weibull distributions, which we briefly summarize here. Exponential distribution.

Pm is available from CPAN. It is also available in other tools such as Excel. 2) 0 is a generalization of the factorial function a! = a × (a − 1) × . . × 2 × 1 by virtue of Γ (a + 1) = a!. 1). The two parameters α and β determine the shape and scale of the distribution, respectively. The mean and variance of the gamma distribution are respectively αβ and αβ 2 . Certain values of the parameters α and β relate the gamma distribution to other well-known distributions in probability theory and statistics [Allen 1990, Trivedi 2000].

Synchronizers and arbiters). It can lead to total failure at the system level. 2. Macroscopic metastability. This form of metastable behavior occurs in computer systems and computer networks. We briefly review both forms of metastability. A more detailed discussion of metastability and its deeper consequences for computer performance can be found in Gunther [2000a, Part III]. 1 Microscopic Metastability All computer systems hardware requires clocking synchronization of some kind to handle interrupts, to perform bus arbitration, to initiate memory refreshes and so on.

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