Efficient response time approximations for multiclass fork and join queues in open and closed queuing networks

IEEE Transactions on Parallel and Distributed Systems

Volumn 25, Issue 6, 2014, Pages 1437-1446

  Alomari, Firas ^a   Menascé, Daniel A ^a  

^a George Mason University   (United States)

Author keywords

approximation algorithms; fork and join; modeling and prediction; modeling techniques; parallel systems; Performance of systems; queuing networks; queuing theory

Indexed keywords

APPROXIMATION ALGORITHMS; QUEUEING NETWORKS; QUEUEING THEORY;

AND JOINS; MODELING AND PREDICTIONS; MODELING TECHNIQUE; PARALLEL SYSTEM; PERFORMANCE OF SYSTEMS; QUEUING NETWORK; QUEUING THEORY;

RESPONSE TIME (COMPUTER SYSTEMS);

EID: 84901041740     PISSN: 10459219     EISSN: None     Source Type: Journal    
DOI: 10.1109/TPDS.2013.70     Document Type: Article

References (33)

1. J. Kephart and D. Chess, "The Vision of Autonomic Computing," Computer, vol. 36, no. 1, pp. 41-50, Jan. 2003.
2. M.C. Huebscher and J.A. McCann, "A Survey of Autonomic Computing Degrees, Models, Applications," ACM Computing Surveys, vol. 40, no. 3, pp. 7:1-7:28, Aug. 2008.
3. D. Menascé, M. Bennani, and H. Ruan, "On the Use of Online Analytic Performance Models, in Self-Managing and Self-OrGaNizing Computer Systems," in Self-Star Properties in Complex Information Systems. Berlin, Germany: Springer-Verlag, 2005, pp. 128-142. (Pubitemid 350237164)
4. D. Menascé, "Response-Time Analysis of Composite Web Services," IEEE Internet Computing, vol. 8, no. 1, pp. 90-92, Jan./Feb. 2004.
5. F. AlOmari and D. Menascé, "An Autonomic Framework for Integrating Security and Quality of Service Support in Databases," in Proc. IEEE Sixth Int'l Conf. Software Security Reliability (SERE 2012), 2012, pp. 51-60.
6. P.M. Chen, E.K. Lee, G.A. Gibson, R.H. Katz, and D.A. Patterson, "RAID: High-Performance, Reliable Secondary Storage," ACM Computing Surveys, vol. 26, no. 2, pp. 145-185, Jun. 1994.
7. J. Dean and S. Ghemawat, "MapReduce: Simplified Data Processing on Large Clusters," Comm. ACM, vol. 51, no. 1, pp. 107-113, Jan. 2008.
8. M. Hill and M. Marty, "Amdahl's Law in the Multicore Era," Computer, vol. 41, no. 7, pp. 33-38, July 2008.
9. S. Al-Momen and D. Menascé, "The Design of an Autonomic Controller for Self-Managed Emergency Departments," in Proc. HEALTHINF-Int'l. Conf. Health Informatics, Feb. 2012, pp. 174-182.
10. D. Menascé, "A Methodology for Combinining GSPNs and QNs," in Proc. Computer Measurement Group Conf., 2011, pp. 774-783.
11. E. Varki, "Response Time Analysis of Parallel Computer and Storage Systems," IEEE Trans. Parallel Distrib. Syst., vol. 12, no. 11, pp. 1146-1161, Nov. 2001. (Pubitemid 33137925)
12. E. Varki, "Mean Value Technique for Closed Fork-Join Networks," SIGMETRICS Perform. Eval. Rev., vol. 27, no. 1, pp. 103-112, June 1999.
13. E. Varki, A. Merchant, and H. Chen, The M/M/1 Fork-Join Queue With Variable Sub-Tasks, 2008, Unpublished. [Online]. Available: http://www.cs.unh. edu/varki/publication/open.pdf.
14. S. Varma and A.M. Makowski, "Interpolation Approximations for Symmetric Fork-Join Queues," Perform. Eval., vol. 20, no. 1-3, pp. 245-265, May 1994.
15. R. Nelson and A. Tantawi, "Approximate Analysis of Fork/Join Synchronization in Parallel Queues," IEEE Trans. Computers, vol. 37, no. 6, pp. 739-743, June 1988. (Pubitemid 18640099)
16. R.J. Chen, "A Hybrid Solution of Fork/Join Synchronization in Parallel Queues," IEEE Trans. Parallel Distrib. Syst.., vol. 12, no. 8, pp. 829-845, Aug. 2001. (Pubitemid 32945816)
17. A. Lebrecht and W. Knottenbelt, "Response Time Approximations in Fork-Join Queues," in Proc. 23rd UK Performance Engineering Workshop (UKPEW), 2007, pp. 12-19.
18. P. Harrison and S. Zertal, "Queueing Models With Maxima of Service Times," in Computer Performance Evaluation. Modelling Techniques and Tools, vol. 2794, P. Kemper and W. Sanders, Eds. Berlin, Germany: Springer-Verlag, 2003, pp. 152-168.
19. S. Balsamo, L. Donatiello, and N. Van Dijk, "Bound Performance Models of Heterogeneous Parallel Processing Systems," IEEE Trans. Parallel Distrib. Syst.., vol. 9, no. 10, pp. 1041-1056, Oct. 1998. (Pubitemid 128747897)
20. F. Baccelli and A. Makowski, "Simple computable bounds for the fork-join queue," in Proc. John Hopkins Conf. Information Science, 1985, pp. 436-441.
21. F. Baccelli, "Two Parallel Queues Created by Arrivals With Two Demands: The M/G/2 Symmetrical Case," INRIA, Paris, France, INRIA Tech. Rep. No. 426, 1985.
22. F. Baccelli and A. Makowski, "Queueing Models for Systems With Synchronization Constraints," Proc. IEEE, vol. 77, no. 1, pp. 138-161, Jan. 1989.
23. M. Reiser and S.S. Lavenberg, "Mean-Value Analysis of Closed Multichain Queuing Networks," J. ACM, vol. 27, no. 2, pp. 313-322, Apr. 1980. (Pubitemid 11428848)
24. G. Casale, R. Muntz, and G. Serazzi, "Geometric Bounds: A Noniterative Analysis Technique for Closed Queueing Networks," IEEE Trans. Computers, vol. 57, no. 6, pp. 780-794, June 2008. (Pubitemid 351712160)
25. P. Heidelberger and K. Trivedi, "Analytic Queueing Models for Programs With Internal Concurrency," IEEE Trans. Computers, vol. C-32, no. 1, pp. 73-82, Jan. 1983. (Pubitemid 13510843)
26. F. Baskett, K. Chandy, R. Muntz, and F. Palacios-Gomez, "Open, Closed and Mixed Networks of Queues With Different Classes of Customers," J. ACM), vol. 22, no. 2, pp. 248-260, Apr. 1975.
27. A. Kumar and R. Shorey, "Performance Analysis and Scheduling of Stochastic Fork-Join Jobs in a Multicomputer System," IEEE Trans. Parallel Distrib. Syst., vol. 4, no. 10, pp. 1147-1164, Oct. 1993.
28. K.S. Trivedi, Probability and Statistics With Reliability, Queuing and Computer Science Applications, 2nd ed., Chichester, U.K.: Wiley, 2002.
29. L. Kleinrock, Queueing Systems. Volume 1: Theory. Hoboken, NJ, USA: Wiley, 1975.
30. D. Menascé, V. Almeida, and L. Dowdy, Performance by Design: Computer Capacity Planning by Example. Upper Saddle River, NJ, USA: Prentice-Hall, 2004.
31. K. Chandy and C. Sauer, "Approximate Methods for Analyzing Queueing Network Models of Computing Systems," ACM Computing Surveys, vol. 10, no. 3, pp. 281-317, Sept. 1978. (Pubitemid 9471947)
32. P. Schweitzer, "Approximate Analysis of Multiclass Closed Network of Queues," in Proc. Int'l Conf. Stochastic Control Optim., 1979, pp. 25-29.
33. Omnet++ Discrete Event Simulation System (2008). [Online]. Available: www.omnetpp.org.