This Article 
 Bibliographic References 
 Add to: 
Performance Analysis of Parallel Processing Systems
April 1988 (vol. 14 no. 4)
pp. 532-540

A bulk arrival M^x/M/c queueing system is used to model a centralized parallel processing system with job splitting. In such a system, jobs wait in a central queue, which is accessible by all the processors, and are split into independent tasks that can be executed on separate processors. The job response time consists of three components: queueing delay, service time, and synchronization delay. An expression for the mean job response time is obtained for this centralized parallel processing system. Centralized and distributed parallel processing systems (with and without job splitting) are considered and their performances compared. Furthermore, the effects of parallelism and overheads due to job splitting are investigated.

[1] F. Baccelli and A. M. Makowski, "Simple computable bounds for the fork-join queue," presented at the Johns Hopkins Conf. Inform. Sci., Johns Hopkins Univ., 1985.
[2] M. L. Chaudhry and J. G. C. Templeton, AFirst Course in BulkQueues. New York: Wiley, 1983.
[3] L. Flatto, "Two parallel queues created by arrivals with two demands II,"SIAM J. Appl. Math., vol. 45, pp. 861-878, Oct. 1985.
[4] L. Flatto and S. Hahn, "Two parallel queues created by arrivals and with two demands I,"SIAM J. Appl. Math., vol. 44, pp. 1041-1053, Oct. 1984.
[5] R. Nelson and A. N. Tantawi, "Approximate analysis of fork/join synchronization in parallel queues," IBM Res. Rep. RC11481, Oct. 1985; alsoIEEE Trans. Comput., to be published.
[6] P. P. Spies and W. J. Geilenkeuser, "Queueing systems serving task families," inPerformnnce'83, A. K. Agrawala and S. K. Tripathi, Eds., 1983, pp. 187-201.
[7] D. D. Yao, "Some results for the queuesMx/M/candGIx/G/c," Oper. Res. Lett., vol. 4, pp. 79-83, July 1985.
[8] D. D. Yao, "Refining the diffusion approximation for the M/G/m queue,"Oper. Res., vol. 33, pp. 1266-1277, Nov. 1985.

Index Terms:
Bulk arrival queues, fork/join queues, job splitting, modeling and analysis, parallel processing, synchronization delay.
R. Nelson, D. Towsley, A.N. Tantawi, "Performance Analysis of Parallel Processing Systems," IEEE Transactions on Software Engineering, vol. 14, no. 4, pp. 532-540, April 1988, doi:10.1109/32.4676
Usage of this product signifies your acceptance of the Terms of Use.