NDLI: Approximate solutions for M/G/1 fork/join synchronization

Content Provider	IEEE Xplore Digital Library
Author	Thomasian, A. Tantawi, A.N.
Copyright Year	1994
Description	Author affiliation: IBM Thomas J. Watson Res. Center, Yorktown Heights, NY, USA (Thomasian, A.; Tantawi, A.N.)
Abstract	Approximation techniques are developed to evaluate the performance of symmetric fork-join synchronization delays for K M/G/1 queues. For a server utilization /spl rho/, the mean response time for fork-join requests is expressed as the sum of the mean response time at one of the queues and the mean synchronization delay as follows: R/sub K//sup F/1/(/spl rho/)=R/sub 1/(/spl rho/)+F/sub K//spl alpha//sub K/(/spl rho/)/spl sigma//sub 1/(/spl rho/), where F/sub K/ is obtained from the previous equation at /spl rho/=0, R/sub 1/(/spl rho/) and /spl sigma//sub 1/(/spl rho/) are the mean and the standard deviation of response time at any one of the queues, respectively, and /spl alpha//sub K/(/spl rho/) is a low-degree service-time distribution dependent polynomial in /spl rho/, whose coefficients are determined from simulation results. We also use simulation results to show that when fork-join requests share the servers with local requests, a good approximation (and an upper bound) to the fork-join response time is obtained by treating the components of fork-join response time as independent, i.e., the mean fork-join response time can be approximated by the expected value of the maximum of the response times at the K queues.
Starting Page	361
Ending Page	368
File Size	707451
Page Count	8
File Format	PDF
ISBN	078032109X
DOI	10.1109/WSC.1994.717194
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1994-12-11
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Equations Delay effects Delay estimation Chromium Computational modeling Analytical models Costs
Content Type	Text
Resource Type	Article

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