Skip to main content

Parallel Minimax Tree Searching on GPU

  • Conference paper
Parallel Processing and Applied Mathematics (PPAM 2009)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6067))


The paper describes results of minimax tree searching algorithm implemented within CUDA platform. The problem regards move choice strategy in the game of Reversi. The parallelization scheme and performance aspects are discussed, focusing mainly on warp divergence problem and data transfer size. Moreover, a method of minimizing warp divergence and performance degradation is described. The paper contains both the results of test performed on multiple CPUs and GPUs. Additionally, it discusses αβ parallel pruning implementation.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others


  1. Knuth, D.E., Moore, R.W.: An analysis of alpha-beta pruning. Artificial Intelligence 6, 293–326 (1975)

    Article  MATH  MathSciNet  Google Scholar 

  2. Manohararajah, V.: Parallel Alpha-Beta Search on Shared Memory Multiprocessors, Master Thesis, Graduate Department of Electrical and Computer Engineering, University of Toronto (2001)

    Google Scholar 

  3. Warren, H.S.: Hacker’s Delight. Addison-Wesley, Reading (2002)

    Google Scholar 

  4. Schaeffer, J.: Improved Parallel Alpha Beta Search. In: Proceedings of 1986 ACM Fall Joint Computer Conference (1986)

    Google Scholar 

  5. Borovska, P., Lazarova, M.: Efficiency of Parallel Minimax Algorithm for Game Tree Search. In: Proceedings of the International Conference on Computer Systems and Technologies (2007)

    Google Scholar 

  6. Schaeffer, J., Brockington, M.G.: The APHID Parallel αβ algorithm. In: Proceedings of the 8th IEEE Symposium on Parallel and Distributed Processing, p. 428 (1996)

    Google Scholar 

  7. Hewett, R., Ganesan, K.: Consistent Linear speedup in Parallel Alpha-beta Search. In: Proceedings of the ICCI 1992, Fourth International Conference on Computing and Information, pp. 237–240 (1992)

    Google Scholar 

  8. Hopp, H., Sanders, P.: Parallel Game Tree Search on SIMD Machines. In: Ferreira, A., Rolim, J.D.P. (eds.) IRREGULAR 1995. LNCS, vol. 980, pp. 349–361. Springer, Heidelberg (1995)

    Google Scholar 

  9. Sanders, P.: Efficient Emulation of MIMD behavior on SIMD Machines. In: Proceedings of the International Conference on Massively Parallel Processing Applications and Development, pp. 313–321 (1995)

    Google Scholar 

  10. Russell, S., Norvig, P.: Artificial Intelligence: A Modern Approach, pp. 163–171. Prentice Hall, Englewood Cliffs (2003)

    Google Scholar 

Download references

Author information

Authors and Affiliations


Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Rocki, K., Suda, R. (2010). Parallel Minimax Tree Searching on GPU. In: Wyrzykowski, R., Dongarra, J., Karczewski, K., Wasniewski, J. (eds) Parallel Processing and Applied Mathematics. PPAM 2009. Lecture Notes in Computer Science, vol 6067. Springer, Berlin, Heidelberg.

Download citation

  • DOI:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-14389-2

  • Online ISBN: 978-3-642-14390-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics