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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Keqin Li |
| Copyright Year | 2003 |
| Description | Author affiliation: Dept. of Comput. Sci., State Univ. of New York, New Paltz, NY, USA (Keqin Li) |
| Abstract | We give the closed form solutions to the parallel time and speedup of the classic method for processing divisible loads on linear arrays as functions of N, the network size. We propose two methods which employ pipelined communications to distribute divisible loads on linear arrays. We derive the closed form solutions to the parallel time and speedup for both methods and show that the asymptotic speedup of both methods is /spl beta/+1, where /spl beta/ is the ratio of the time for computing a unit load to the time for communicating a unit load Such performance is even better than that of the known methods on k-dimensional meshes with k>1. The two new algorithms which use pipelined communications are generalized to distribute divisible loads on k-dimensional meshes, and we show that the asymptotic speedup of both algorithms is k/spl beta/+1, where k/spl ges/1. We also prove that on k-dimensional meshes where k/spl ges/1, as the network size becomes large, the asymptotic speedup of 2k/spl beta/+1 can be achieved for processing divisible loads by using interior initial processors. |
| Sponsorship | IEEE Comput. Soc Tech. Committee on Parallel Process. IEEE Comput. Soc. Tech. Committee on Comput. Archit. IEEE Comput. Soc. Tech. Committee on Distrib. Process. ACM SIGARCH |
| File Size | 458675 |
| File Format | |
| ISBN | 0769519261 |
| ISSN | 15302075 |
| DOI | 10.1109/IPDPS.2003.1213185 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2003-04-22 |
| Publisher Place | France |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Closed-form solution Computer networks Distributed computing Concurrent computing Multimedia databases Multiprocessor interconnection networks Parallel processing Computer science Large-scale systems Signal processing |
| Content Type | Text |
| Resource Type | Article |
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