| A randomized parallel branch-and-bound procedure |
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Annual ACM Symposium on Theory of Computing
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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
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Authors
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Richard Karp
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Computer Science Division, Univesity of California, Berkeley, CA
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Yanjun Zhang
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Computer Science Division, Univesity of California, Berkeley, CA
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| Bibliometrics |
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.
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D. Angluin, L.G. Valiant, Fast. probabilistic algorithms for llamiltonian circuits and matchings, J. Comput. $ystc,a Sci., 19 (1979'), 155-193.
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E. Balas, Branch and bound methods, in The Traveling Salesman Problem, edited by E.L. Lawler ~t al, John Wiley & Soils Ltd., 1985.
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J.L. Doob, Stochastic Process, John Wiley&; Sons. Inc. 1953.
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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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B.W. Wah, G. Li, C.F. Yu, Multiprocessing of Combinatorial Search Problems, IEEE Computer, June 1985.
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CITED BY 18
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Bhaskar Ghosh , F. T. Leighton , Bruce M. Maggs , S. Muthukrishnan , C. Greg Plaxton , R. Rajaraman , Andréa W. Richa , Robert E. Tarjan , David Zuckerman, Tight analyses of two local load balancing algorithms, Proceedings of the twenty-seventh annual ACM symposium on Theory of computing, p.548-558, May 29-June 01, 1995, Las Vegas, Nevada, United States
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Umut A. Acar , Guy E. Blelloch , Robert D. Blumofe, The data locality of work stealing, Proceedings of the twelfth annual ACM symposium on Parallel algorithms and architectures, p.1-12, July 09-13, 2000, Bar Harbor, Maine, United States
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T. Leighton , M. Newman , A. G. Ranade , E. Schwabe, Dynamic tree embeddings in butterflies and hypercubes, Proceedings of the first annual ACM symposium on Parallel algorithms and architectures, p.224-234, June 18-21, 1989, Santa Fe, New Mexico, United States
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