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A Combinatorial Problem Related to Multimodule Memory Organizations
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Source Journal of the ACM (JACM) archive
Volume 21 ,  Issue 3  (July 1974) table of contents
Pages: 392 - 402  
Year of Publication: 1974
ISSN:0004-5411
Authors
C. K. Wong  IBM Thomas J. Watson Research Center, P.O. Box 218, Yorktown Heights, NY and University of Illinois, Urbana, Illinois
Don Coppersmith  Department of Mathematics, Harvard University, Science Center, One Oxford Street, Cambridege, MA and IBM Thomas J. Watson Research Center, Yorktown Heights, New York
Publisher
ACM  New York, NY, USA
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Downloads (6 Weeks): 2,   Downloads (12 Months): 34,   Citation Count: 19
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ABSTRACT

This paper deals with a combinatorial minimization problem arising from studies on multimodule memory organizations. Instead of searching for an optimum solution, a particular solution is proposed and it is demonstrated that it is close to optimum. Lower bounds for the objective functions are obtained and compared with the corresponding values of the particular solution. The maximum percentage deviation of this solution from optimum is also established.


REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
1
BARNES, G. H., ET AL. The Illiac IV computer. 1EEE Trans. C-17, 8 (1968), 746-757.
2
 
3
GRAHAM, R.L. Bounds on multiprocessing anomalies and related pa~king algorithms. Pro c. AFIPS 1972 SJCC, pp. 205-218.
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5
LIu, C. L. Introduction to Combinatorial Mathematics. McGraw-Hill, New York, 1968.
 
6
LIU, C. L. Optimal scheduling on multi-processor computing systems. Proc. 13th Annual Symposium on Switching and Automata Theory, 1972, pp. 155--160.
 
7
N~SVSRGELT, J., AND Wor~(~, C.K. On binary search trees. Proc. IFIP Cong. 1971, North- Holland Pub. Co., Amsterdam, 1972, pp. 91-98.
 
8
Sa~ON~, H. S. The organization of high-speed memory ~or parallel block transfer of data, IEEE Trans. C-19, 1 (1970), 47-53.
 
9
 
10
WONG, C. K., AND MxI)VOCKS, T.W. A generalized Pascal's triangle. Fibonacci Quart. (to appear).

CITED BY  19

Collaborative Colleagues:
C. K. Wong: colleagues
Don Coppersmith: colleagues