Minimax Game Tree Searching
Reference work entry
DOI: https://doi.org/10.1007/978-0-387-74759-0_370
Article Outline
Keywords
Minimax Trees
Sequential Minimax Game Tree Algorithms
Minimax Algorithm
Alpha-Beta Algorithm
SSS∗
SCOUT: Minimax Algorithm of Theoretical Interest
Generalized Game Tree Search Algorithm
Recursive State Space Search Algorithm
Some Variations On The Subject
Parallel Minimax Tree Algorithms
A Simple Way to Parallelize the Exploration of Minimax Trees
A Mandatory Work First Algorithm
Aspiration Search
Tree-Splitting Algorithm
Principal Variation Splitting Algorithm
Distributed State Space Search
Distributed Game Tree Search Algorithm
Parallel Minimax Algorithm with Linear Speedup
See also
References
Keywords
Algorithms Games Minimax SearchingThis is a preview of subscription content, log in to check access.
References
- 1.Akl SG, Barnard DT, Doran RJ (1979) Searching game trees in parallel. In: Proc. 3rd Biennial Conf. Canad. Soc. Computation Studies of Intelligence, pp 224–231Google Scholar
- 2.Akl SG, Barnard DT, Doran RJ (1982) Design, analysis, and implementation of a parallel tree search algorithm. IEEE Trans Pattern Anal Machine Intell PAMI-4(2):192–203CrossRefGoogle Scholar
- 3.Almquist K, McKenzie N, Sloan K (1988) An inquiry into parallel algorithms for searching game trees. Techn. Report Univ. Washington, Seattle, WA 12(3)Google Scholar
- 4.Althöfer I (1988) On the complexity of searching game trees and other recursion trees. J Algorithms 9:538–567MathSciNetCrossRefMATHGoogle Scholar
- 5.Althöfer I (1990) An incremental negamax algorithm. Artif Intell 43:57–65CrossRefMATHGoogle Scholar
- 6.Ballard BW (1983) The ∗ -minimax search procedure for trees containing chance nodes. Artif Intell 21:327–350CrossRefMATHGoogle Scholar
- 7.Baudet GM (1978) The design and analysis of algorithms for asynchronous multiprocessors. PhD Thesis Carnegie-Mellon Univ. Pittsburgh, PA, CMU-CS-78-116Google Scholar
- 8.Böhm M, Speckenmeyer E (1989) A dynamic processor tree for solving game trees in parallel. Proc. SOR'89Google Scholar
- 9.Cung V-D, Roucairol C (1991) Parallel minimax tree searching. Res Report INRIA, vol 1549Google Scholar
- 10.Diderich CG (1992) Evaluation des performances de l'algorithme SSS∗ avec phases de synchronisation sur une machine parallèle à mémoires distribuées. Techn. Report Computer Sci. Dept. Swiss Federal Inst. Techn. Lausanne, Switzerland, LiTH-99 (In French.)Google Scholar
- 11.Feigenbaum EA, Feldman J (1963) Computers and thought. McGraw-Hill, New YorkMATHGoogle Scholar
- 12.Feldmann R, Monien B, Mysliwietz P, Vornberger O (1989) Distributed game tree search. ICCA J 12(2):65–73Google Scholar
- 13.Feldmann R, Mysliwietz P, Monien B (1994) Game tree search on a massively parallel system. In: van den Herik HJ, Herschberg IS, Uiterwijk JWHM (eds) Advances in Computer Chess, vol 7. Univ. Limburg, Maastricht, pp 203–218Google Scholar
- 14.Finkel RA, Fishburn JP (1982) Parallelism in alpha-beta search. Artif Intell 19:89–106MathSciNetCrossRefMATHGoogle Scholar
- 15.Hewett R, Krishnamurthy G (1992) Consistent linear speedup in parallel alpha-beta search. Proc. ICCI'92, Computing and Information. IEEE Computer Soc Press, New York, pp 237–240Google Scholar
- 16.Ibaraki T (1986) Generalization of alpha-beta and {SSS*} search procedures. Artif Intell 29:73–117MathSciNetCrossRefMATHGoogle Scholar
- 17.Karp RM, Zhang Y (1989) On parallel evaluation of game trees. In: ACM Annual Symp. Parallel Algorithms and Architectures (SPAA'89). ACM, New York, pp 409–420CrossRefGoogle Scholar
- 18.Knuth DE, Moore RW (1975) An analysis of alpha-beta pruning. Artif Intell, 6(4):293–326MathSciNetCrossRefMATHGoogle Scholar
- 19.Marsland TA, Campbell MS (1982) Parallel search of strongly ordered game trees. ACM Computing Surveys 14(4):533–551CrossRefGoogle Scholar
- 20.Marsland TA, Popowich F (1985) Parallel game-tree search. IEEE Trans Pattern Anal Machine Intell PAMI-7(4):442–452CrossRefGoogle Scholar
- 21.Marsland TA, Reinefeld A, Schaeffer J (1987) Low overhead alternatives to SSS∗. Artif Intell 31:185–199CrossRefGoogle Scholar
- 22.McAllester DA (1988) Conspiracy numbers for min-max searching. Artif Intell 35:287–310MathSciNetCrossRefMATHGoogle Scholar
- 23.Pearl J (1980) Asymptotical properties of minimax trees and game searching procedures. Artif Intell 14(2):113–138MathSciNetCrossRefMATHGoogle Scholar
- 24.Pijls W, de Bruin A (Aug. 1990) Another view of the SSS∗ algorithm. In: Proc. Internat. Symp. (SIGAL'90)Google Scholar
- 25.Rivest RL (1987) Game tree searching by min/max approximation. Artif Intell 34(1):77–96MathSciNetCrossRefMATHGoogle Scholar
- 26.Roizen I, Pearl J (1983) A minimax algorithm better than alpha-beta? Yes and no. Artif Intell 21:199–230MathSciNetCrossRefMATHGoogle Scholar
- 27.Slagle JH, Dixon JK (Apr. 1969) Experiments with some programs that search game trees. J ACM 16(2):189–207CrossRefMATHGoogle Scholar
- 28.Steinberg IR, Solomon M (1990) Searching game trees in parallel. Proc. IEEE Internat. Conf. Parallel Processing, III, III–9–III–17Google Scholar
- 29.Stockman GC (1979) A minimax algorithm better than alpha-beta? Artif Intell 12(2):179–196MathSciNetCrossRefMATHGoogle Scholar
Copyright information
© Springer-Verlag 2008