TAILIEUCHUNG - THE FRACTAL STRUCTURE OF DATA REFERENCE- P20

THE FRACTAL STRUCTURE OF DATA REFERENCE- P20:For purposes of understanding its performance, a computer system is traditionally viewed as a processor coupled to one or more disk storage devices, and driven by externally generated requests (typically called transactions). Over the past several decades, very powerful techniques have become available to the performance analyst attempting to understand, at a high level, the operational behavior of such systems. | Free Space Collection in a Log 83 Also in specializing we may take advantage of in that 71 J 0 J Thus in the case ofthe hierarchical reuse model we obtain - d l- X r174 - U Uh Uh To define the best free space collection scheme we must now specify the values of four variables fi fh Ui and uh. These variables must satisfy both as it applies to the pair of variables fi Ui and the pair of variables fh Uh . They must also satisfy . Finally they must produce the smallest possible number ofmoves per write as given by . We are confronted therefore by a minimization problem involving fourunknowns three equations and an objective function. To explore the history dependent strategy iterative numerical techniques were used to perform the minimization just described. This was done for a range of storage utilizations and for the various values d just listed in a previous paragraph. The results of the iterative calculations are presented in the three dashed lines of Figure . Figure shows that fast destage times yield the smallest number ofmoves per write. Nevertheless it should be noted that prolonged destage times offer an important advantage. Prolonged destaging provides the maximum opportunity for a given copy ofthe data previously written by the host to be replaced before that copy ever needs to be destaged. The ability to reduce write operations to disk makes moderate-to-slow destaging the method of choice despite the increase in moves per write that comes with slower destaging. If for this reason we restrict our attention to the case of moderate-to-slow destaging the linear model provides a rough somewhat conservative ballpark for the results presented in Figure . Putting this in another way the linear model appears to represent a level of free space collection performance that should be achievable by a good history dependent algorithm. At low levels of storage utilization however we should not expect realistic levels of free space .

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