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A new approach to processor allocation and task migration in an N-cube multiprocessor

Published: 01 August 1989 Publication History

Abstract

We propose a new strategy to recognize the maximum subcube in an n-cube multiprocessor. This subcube recognition algorithm can be done in both serial and parallel and analyzed. This strategy will enhance the performance drastically so that our algorithm will outperform the buddy system by a factor nCk, the gray strategy by nCk/2 and Al-Dhelaan [8] by nCk/(k(n-k)+1) in cube recognition. We present a very efficient processor allocation strategy which makes larger contiguous spaces for the new coming job than buddy, gray strategy and Al-Dhelaan [8] do. Furthermore, this new strategy is suitable for static as well as dynamic processors allocation and it results in a less fragmentation and higher fault tolerance. Also we describe an efficient procedure for task migration under the new strategy: 1) goal configuration under the new strategy 2) node-mapping between source and destination node 3) the shortest deadlock-free routing algorithm.

References

[1]
K. Hwang and F.A. Briggs, Computer Architecture and Parallel Processing, New York: McGraw_Hill, 1984
[2]
R. M. Chamberlain, "Gray codes, Fast Fourier Transformations and Hypercubes", Parallel Computing, 6, 1988, pp. 225- 233.
[3]
M. Chen and K.G. Shin, "Processor Allocation in an N-cube Multiprocessor Using Gray Codes", IEEE Trans. Computer, Dec. 1987 pp. 1396-1407.
[4]
M. Chert and K.G. Shin, "task Migration in Hypercube Multiprocessor", Proc. 16th Annual Int'l Syrup. on Computer Architecture. Jun 1989, pp. 105-111
[5]
M. Chen and K.G. Shin, "Embedment of interesting task modules into a hypercubemultiprocessor", in Proc. Second Hypercube Conf., Oct 1986, pp. 121-129
[6]
B Becker and H.U. Simon, "How robust is the n-cube., in Proc. 27th Ann. Syrup. Foundations of Comp. Sci. Oct. 1986 pp. 283-291.
[7]
H. P. Kattesff, "Incomplete hypercubes", IEEE Trans. Computer, May 1988, pp. 604-608.
[8]
A. A1-Dhelaan and B. Bose, "A New strategy for Processor Allocation in an N-cube Multiprocessor", Phoenix Conference on Computer and Communication, Mar 1989. pp. 114-118.
[9]
A. A1-Dhelaan and B. Bose, "Efficient Fault Tolerant Broadcasting Algorithm for the Hypercube", The fourth Conf. on Hypercube Concurrent Comp. and Applications, Monterey, Mar 1989
[10]
P. Ramanathan and K.G. Shin, "Reliable Broadcasting in Hypercube Multicomputers", IEEE Trans. on Comp. Dec 1988, pp 1654-1657.
[11]
Y. S ead and M.H. Schultz, 'Topological properties of Hypercubes", IEEE Trans. on Computer, Jul 1988, pp 867-872
[12]
Z. Kohavi, Switching and Finite Automata Theory, New York: McGraw-Hill, 1978

Cited By

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  • (1990)An optimal fault-tolerant broadcasting algorithm for a hypercube multiprocessorProceedings of the 1990 ACM annual conference on Cooperation10.1145/100348.100363(96-102)Online publication date: 1-Jan-1990
  • (1990)Reliable broadcasting algorithm for a cube-connected cycles networkNinth Annual International Phoenix Conference on Computers and Communications. 1990 Conference Proceedings10.1109/PCCC.1990.101593(3-9)Online publication date: 1990

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cover image ACM Conferences
Supercomputing '89: Proceedings of the 1989 ACM/IEEE conference on Supercomputing
August 1989
849 pages
ISBN:0897913418
DOI:10.1145/76263
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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  • Los Alamos National Labs: Los Alamos National Labs
  • NASA: National Aeronatics and Space Administration
  • Argonne Natl Lab: Argonne National Lab

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Association for Computing Machinery

New York, NY, United States

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Published: 01 August 1989

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Cited By

View all
  • (1990)An optimal fault-tolerant broadcasting algorithm for a hypercube multiprocessorProceedings of the 1990 ACM annual conference on Cooperation10.1145/100348.100363(96-102)Online publication date: 1-Jan-1990
  • (1990)Reliable broadcasting algorithm for a cube-connected cycles networkNinth Annual International Phoenix Conference on Computers and Communications. 1990 Conference Proceedings10.1109/PCCC.1990.101593(3-9)Online publication date: 1990

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