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Multivariate point process models for response times in multiprogrammed systems

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Abstract

We consider the formulation of marked multivariate point process models for job response times in multiprogrammed computer systems. Complementing queueing network representation of the structure of the system to be modeled, the particularR-process (Response time process) model we propose permits representation of resource contention, facilitates the incorporation of realistic workload characteristics into system performance predictions, and can reproduce inhomogeneities observed in running systems. Specification of the structure of theR-process model is conditional on workload marks; this effectively separates the difficult problem of formal representation of workload characteristics from the overall problem of response time prediction. To illustrate these ideas, an application to database management systems is considered. Evidence of the predictive capability of theR-process model, based on statistical analysis of response time data from an IMS system, is also given.

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References

  1. F. Baskett, K. M. Chandy, R. R. Muntz, and F. G. Palacios, “Open, closed, and mixed networks of queues with different classes of jobs,”J. ACM 22:248–260 (1975).

    Google Scholar 

  2. E. L. Bradley, “The equivalence of maximum likelihood and weighted least squares estimates in the exponential family,”J. Am. Stat. Assoc. 68:199–200 (1973).

    Google Scholar 

  3. J. Buzen, “Queueing Network Models of Multiprogramming,” Ph.D. thesis, Division of Engineering and Applied Physics, Harvard University, Cambridge, Massachusetts (1971).

    Google Scholar 

  4. A. Charnes, E. L. Frome, and P. L. Yu, “The equivalence of generalized least squares and maximum likelihood estimates in the exponential family,”J. Am. Stat. Assoc. 71:169–171.

  5. D. R. Cox and P. A. W. Lewis, “Multivariate Point Processes,” inProceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability, Vol. III, pp. 401–448. University of California Press, Berkeley, California (1972).

    Google Scholar 

  6. D. P. Gaver, “Probability models for multiprogrammed computer systems,”J. ACM 14:423–439 (1967).

    Google Scholar 

  7. E. Gelenbe and R. R. Muntz, “Probabilistic models of computer systems, Part I (Exact results),”Acta Inform. 7:35–60 (1976).

    Google Scholar 

  8. D. L. Iglehart and G. S. Shedler, “Regenerative Simulation of Response Times in Networks of Queues,” IBM Research Report RJ 1740, San Jose, California (1976). To appear inJ. ACM 25 (1978).

  9. D. L. Iglehart and G. S. Shedler, “Simulation of Response Times in Finite Capacity Open Networks of Queues,” IBM Research Report RJ 1886, San Jose, California (1976). To appear inOpns. Res. 26 (1978).

  10. IBM Corporation, “Information Management System/360, Version 2,” General Information Manual GH20-0765, Armonk, New York (1973).

    Google Scholar 

  11. J. R. Jackson, “Jobshop-like queueing systems,”Manage. Sci. 10:131–142 (1963).

    Google Scholar 

  12. A. G. Konheim and M. Reiser, “A queueing model with finite waiting room and blocking,”J. ACM 23:328–341 (1976).

    Google Scholar 

  13. S. S. Lavenberg and G. S. Shedler, “Stochastic modeling of processor scheduling with application to data base management systems,”IBM J. Res. Dev. 20:437–448 (1976).

    Google Scholar 

  14. P. A. W. Lewis and G. S. Shedler, “A cyclic-queue model of system overhead in multiprogrammed computer systems,”J. ACM 18:119–220 (1971).

    Google Scholar 

  15. P. A. W. Lewis and G. S. Shedler, “Statistical analysis of non-stationary series of events in a data base system,”IBM J. Res. Dev. 20:465–482 (1976).

    Google Scholar 

  16. C. G. Moore III, “Network Models for Large-Scale Time-Sharing Systems,” Technical Report No. 71-1, Department of Industrial Engineering, University of Michigan Ann Arbor, Michigan (1971).

    Google Scholar 

  17. M. Reiser and H. Kobayashi, “Queueing networks with multiple closed chains: theory and computational algorithms,”IBM J. Res. Dev. 19:283–294 (1975).

    Google Scholar 

  18. D. W. Robinson and P. A. W. Lewis, “Generating Gamma and Cauchy Random Variables: An Extension to the Naval Postgraduate School Random Number Package,” Naval Postgraduate School Report NPS72Ro75041, Monterey, California (1975).

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Hunter, D.W., Shedler, G.S. Multivariate point process models for response times in multiprogrammed systems. International Journal of Computer and Information Sciences 7, 193–217 (1978). https://doi.org/10.1007/BF00975885

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