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A randomized parallel branch-and-bound procedure
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Source Annual ACM Symposium on Theory of Computing archive
Proceedings of the twentieth annual ACM symposium on Theory of computing table of contents
Chicago, Illinois, United States
Pages: 290 - 300  
Year of Publication: 1988
ISBN:0-89791-264-0
Authors
Richard Karp  Computer Science Division, Univesity of California, Berkeley, CA
Yanjun Zhang  Computer Science Division, Univesity of California, Berkeley, CA
Sponsor
SIGACT: ACM Special Interest Group on Algorithms and Computation Theory
Publisher
ACM  New York, NY, USA
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Downloads (6 Weeks): 5,   Downloads (12 Months): 29,   Citation Count: 18
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ABSTRACT

We present a universal randomized method called Local Best-First Search for parallelizing sequential branch-and-bound algorithms. The method executes on a message-passing multiprocessor system, and requires no global data structures or complex communication protocols. We show that, uniformly on all instances, the execution time of the method is unlikely to exceed a certain inherent lower bound by more than a constant factor.


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
D. Angluin, L.G. Valiant, Fast. probabilistic algorithms for llamiltonian circuits and matchings, J. Comput. $ystc,a Sci., 19 (1979'), 155-193.
 
2
E. Balas, Branch and bound methods, in The Traveling Salesman Problem, edited by E.L. Lawler ~t al, John Wiley & Soils Ltd., 1985.
 
3
J.L. Doob, Stochastic Process, John Wiley&; Sons. Inc. 1953.
 
4
R.M. Karp, M. Saks and A. Wigderson, "On a Search Problem Related to Branch-and-Bound Procedures", Proc. ~7~h IEEE Symposium on Foundations of Computer Science, 19-28, 1986.
 
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8
B.W. Wah, G. Li, C.F. Yu, Multiprocessing of Combinatorial Search Problems, IEEE Computer, June 1985.

CITED BY  18

Collaborative Colleagues:
Richard Karp: colleagues
Yanjun Zhang: colleagues