Abstract
We present a parallel solver for numerical constraint satisfaction problems (NCSPs) that can scale on a number of cores. Our proposed method runs worker solvers on the available cores and simultaneously the workers cooperate for the search space distribution and balancing. In the experiments, we attained up to 119-fold speedup using 256 cores of a parallel computer.
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References
Benhamou, F., Goualard, F., Granvilliers, L., Puget, J.F.: Revising Hull and Box Consistency. In: Proc. of ICLP, pp. 230–244 (1999)
Bordeaux, L., Hamadi, Y., Samulowitz, H.: Experiments with Massively Parallel Constraint Solving. In: Proc. of IJCAI, pp. 443–448 (2006)
Caro, S., Chablat, D., Goldsztejn, A., Ishii, D., Jermann, C.: A branch and prune algorithm for the computation of generalized aspects of parallel robots. Artificial Intelligence 211, 34–50 (2014)
Charles, P., Grothoff, C., Saraswat, V.: X10: an object-oriented approach to non-uniform cluster computing. In: Proc. of OOPSLA, pp. 519–538 (2005)
Chu, G., Schulte, C., Stuckey, P.J.: Confidence-based work stealing in parallel constraint programming. In: Gent, I.P. (ed.) CP 2009. LNCS, vol. 5732, pp. 226–241. Springer, Heidelberg (2009)
Ishii, D., Goldsztejn, A., Jermann, C.: Interval-based projection method for under-constrained numerical systems. Constraints Journal 17(4), 432–460 (2012)
Gent, I.P., Jefferson, C., Miguel, I., Moore, N.C.A., Nightingale, P., Prosser, P., Unsworth, C.: A Preliminary Review of Literature on Parallel Constraint Solving. In: Proc. of Workshop on Parallel Methods for Constraint Solving, p. 13 (2011)
Goldsztejn, A., Goualard, F.: Box consistency through adaptive shaving. In: Proc. of SAC, pp. 2049–2054 (2010)
Grama, A., Gupta, A., Karypis, G., Kumar, V.: Introduction to Parallel Computing. Addison Wesley (2003)
Granvilliers, L., Benhamou, F.: Algorithm 852: RealPaver: an interval solver using constraint satisfaction techniques. ACM Transactions on Mathematical Software 32(1), 138–156 (2006)
Granvilliers, L., Hains, G.: A conservative scheme for parallel interval narrowing. Information Processing Letters 74(3-4), 141–146 (2000)
Jaffar, J., Santosa, A., Yap, R., Zhu, K.: Scalable distributed depth-first search with greedy work stealing. In: Proc. of ICTAI, pp. 98–103 (2004)
Lüling, R., Monien, B., Reinefeld, A., Tschöke, S.: Mapping Tree-Structured Combinatorial Optimization Problems onto Parallel Computers. In: Ferreira, A., Pardalos, P. (eds.) SCOOP 1995. LNCS, vol. 1054, pp. 115–144. Springer, Heidelberg (1996)
Otten, L., Dechter, R.: Towards Parallel Search for Optimization in Graphical Models. In: Proc. of ISAIM (2010)
Schubert, T., Lewis, M., Becker, B.: PaMiraXT: Parallel SAT Solving with Threads and Message Passing. JSAT 6, 203–222 (2009)
Schulte, C.: Parallel search made simple. In: Proc. of TRICS, pp. 41–57 (2000)
Van Hentenryck, P., McAllester, D., Kapur, D.: Solving Polynomial Systems Using a Branch and Prune Approach. SIAM Journal on Numerical Analysis 34(2), 797–827 (1997)
Xie, F., Davenport, A.: Massively Parallel Constraint Programming for Supercomputers: Challenges and Initial Results. In: Lodi, A., Milano, M., Toth, P. (eds.) CPAIOR 2010. LNCS, vol. 6140, pp. 334–338. Springer, Heidelberg (2010)
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Ishii, D., Yoshizoe, K., Suzumura, T. (2014). Scalable Parallel Numerical CSP Solver. In: O’Sullivan, B. (eds) Principles and Practice of Constraint Programming. CP 2014. Lecture Notes in Computer Science, vol 8656. Springer, Cham. https://doi.org/10.1007/978-3-319-10428-7_30
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DOI: https://doi.org/10.1007/978-3-319-10428-7_30
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