15.01.2013 Views

U. Glaeser

U. Glaeser

U. Glaeser

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

In the case of Fig. 8.15, the model with 1 HSC50 disk controller yields e min = 1.53%, and for δ = 0.2<br />

we have:<br />

Finally, the predictive power in the case with two HSC50 disk controllers is much better: we have e min =<br />

0.64% yielding<br />

Conclusions<br />

Even in cases of fully controlled simple synthetic workloads, the performance modeling of disk subsystems<br />

is not a simple task. Basic popular load independent queuing models (load independent convolution<br />

algorithm or MVA) cannot be used for modeling modern disk subsystems, which use caching and disk<br />

access optimization. The use of load dependent MVA models is rather efficient and we proposed models<br />

for optimized disk access, cached disk access, and combined optimized and cached disk access. Presented<br />

models need a careful calibration procedure. In the majority of cases based on symmetric random disk<br />

accesses the modeling errors for optimized disk access were less than 2%. In more complex cases with<br />

optimized disk accesses and caching, our models regularly achieve errors below 10%. Experimental<br />

verification of our models has been successfully performed in both VAX/VMS and PC/NT environments.<br />

References<br />

( 1 + δ )emin 1.84%, p ∗ = ( 0.2)<br />

= 0.7, q( 0.2)<br />

= 35.3%<br />

( 1 + δ )emin 0.77%, p ∗ = ( 0.2)<br />

= 0.35, q( 0.2)<br />

= 76.5%<br />

1. Basket, F., K. Chandy, R. Munz, and F. Palacios, Open, Closed, and Mixed Networks of Queues with<br />

Different Classes of Customers. Journal of the ACM, Vol. 22, No. 2, pp. 248–260, April 1975.<br />

2. Buzen, J.P., Computational Algorithms for Closed Queueing Networks with Exponential Servers.<br />

Communications of the ACM, Vol. 16, No. 9, pp. 527–531, September 1973.<br />

3. Dujmovic, J.J., Multiprogramming Efficiency Analysis for Computer Evaluation and Selection Studies.<br />

Proceedings of the 11th International Symposium Computer at the University, 1989.<br />

4. IBM, Hard disk drive specifications—Deskstar 60GPX. S07N-4780-02, Publication #2818, February 1,<br />

2001.<br />

5. Jain, R., The Art of Computer System Performance Analysis. John Wiley, New York 1991.<br />

6. Lee, E.K. and R.H. Katz, An Analytic Performance Model of Disk Arrays. Sigmetrics ’93 Proceedings,<br />

pp. 98–109, 1993.<br />

7. Menasce, D., V. Almeida, and L. Dowdy, Capacity Planning and Performance Modeling. Prentice-Hall,<br />

1994.<br />

8. Nelder, J.A. and R. Mead, A Simplex Method for Function Minimization. The Computer Journal, Vol. 7,<br />

No. 4, pp. 308–313, 1965.<br />

9. Ng, S.W., Advances in Disk Technology: Performance Issues. Computer, pp. 75–81, May 1998.<br />

10. Reiser, M. and S.S. Lavenberg, Mean-Value Analysis of Closed Multichain Queueing Networks. Journal<br />

of the ACM, Vol. 27, No. 2, pp. 313–322, 1980.<br />

11. Ruemmler, C. and J. Wilkes, An Introduction to Disk Drive Modeling. Computer, pp. 17–28, March<br />

1994.<br />

12. Shriver, E., Performance Modeling for Realistic Storage Devices. PhD Thesis, Department of Computer<br />

Science, New York University, May 1997.<br />

13. Silbershatz, A. and P.B. Galvin, Operating System Concepts. Addison–Wesley, Reading, MA 1994.<br />

14. Worthington, B.L., G.R. Ganger, and Y.N. Patt, Scheduling Algorithms for Modern Disk Drives. Proceedings<br />

of SIGMETRICS’94, pp. 241–251, 1994.<br />

15. Worthington, B.L., G.R. Ganger, Y.N. Patt, and J. Wilkes, On-Line Extraction of SCSI Disk Drive<br />

Parameters. Proceedings of SIGMETRICS’95, pp. 146–156, 1995.<br />

© 2002 by CRC Press LLC

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!