TAILIEUCHUNG - THE FRACTAL STRUCTURE OF DATA REFERENCE- P9

THE FRACTAL STRUCTURE OF DATA REFERENCE- P9: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. | 26 THE FRACTAL STRUCTURE OF DATA REFERENCE operating separately 18 Note in applying that the processor miss ratio must be evaluated at the single-reference residency time ofthe storage control cache . Plugging into we find that for reads in the case . . ftp Since the management ofprocessor buffers is at the level of individual application records typically one page in size we may assume that . 0c. Thus the behavior of the cache under these conditions is analogous to the simpler case when no processor buffers are present except that a negative exponent with a smaller absolute value - 0c 6- appears in place- .f Since bears such a close resemblance to virtually the entire line of reasoning presented in the previous subsections extends to the case of reads to a cache where processor buffers are present. Corresponding to 1 .21 we obtain ac -Wc-Gp mr rc p ap . ll-281 Sc Op T as ---------i--- zcb cmpr J where Up provided that -. What form then should a plot such as that presented by Figure take if processor buffers are present In the region of the plot corresponding to r . shows that the slope of the plot should be unchanged it will merely shift due to division by a constant. In the region r - however the plot should show reduced responsiveness reflecting the reduced exponent appearing in . Also the transition between the two regions of the curve will reflect the processor buffering that is being applied to the applications within the storage pool. If no processor buffers are present or if the processor buffer area is very small then we should expect to see no transition instead we should see a single straight line . Ifprocessor buffering is present but varies significantly between individual applications we should expect to see a gradual transition. Hierarchical Reuse Model 27 If processor buffering is applied consistently with the same value of Tp across the entire storage pool we should expect to see a sharp transition at .

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