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Linear and inversive pseudorandom numbers for parallel and distributed simulation

Published: 01 July 1998 Publication History
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References

[1]
S. Aluru. Parallel additive lagged Fibonacci random number generators. In Proceedings of the International Conference on Supercomputing 1996, pages 102-108, 1996.
[2]
S. Aluru. Lagged Fibonacci random number generators for distributed memory parallel computers. Journal of Parallel and Distributed Computing, 45:1- 12, 1997.
[3]
S. Aluru, Prabhu G.M., and J. Gustafson. A random number generator for parallel computers. Parallel Computing, 18:839-847, 1992.
[4]
S.L. Anderson. Random number generators on vector supercomputers and other advanced architectures. SIAM Rev., 32:221-251, 1990.
[5]
P. Coddington. Random Number Generators for Parallel Computers. NHSE Review, Second Issue, Northeast Parallel Architectures Center, 1996. Available at: ht tp : //nhse. cs. rice. edu/NHSEre v iew/RNG/.
[6]
A. De Matteis and S. Pagnutti. Parallelization of random number generators and long-range correlations. Numer. Math., 53:595M608, 1988.
[7]
A. De Matteis and S. Pagnutti. Long-range correlations in linear and non-linear random number generators. Parallel Computing, 14:207-210, 1990.
[8]
A. De Mattcis and S. Pagnutti. Long-range correlation analysis of the Wichmann-Hill random number generator. Statistics and Computing, 3:67-70, 1993.
[9]
A. De Matteis and S. Pagnutti. Controlling correlations in parallel Monte Carlo. Parallel Computing, 21:73--84, 1995.
[10]
W.F. Eddy. Random number generators for parallel processors. J. Comp. Appl. Math., 31:63-71, 1990.
[11]
J. Eichenauer-Herrrnann. Statistical independence of a new class of inversive congruential pseudorandom numbers. Math. Comp., 60:375-384, 1993.
[12]
J. Eichenauer-Herrmann. A unified approach to the analysis of compound pseudorandom numbers. Finite Fields and their Appl., 1:102-114, 1995.
[13]
J. Eichenauer-Herrmann, E. Herrmann, and S. Wegenkittl. A survey of quadratic and inversive congruential pseudorandom numbers. In P. Hellekalek, G. Larcher, H. Niederreiter, and P. Zinterhof, editors, Proceedings of the MC and QMC, Salzburg 1996, Lecture Notes in Statistics, pages 66-97, New York, 1997. Springer.
[14]
J. Eichenauer-Herrmann and H. Niederreiter. Parallel streams of nonlinear congruential pseudorandom numbers. Finite Fields and their Applications, 3:219 233, 1997.
[15]
K. Entacher. Bad subsequences of well-known linear congruential pseudorandom number generators. A CM TOMACS, 8(1), 1998. To appear.
[16]
K. Entacher, O. Lendl, A. Uhl, and S. Wegenkittl. Analyzing streams of pseudorandom numbers for parallel Monte Carlo integration. In R. Wyrzykowski, H. Piech, B. Mochnacki, M. Vajtersic, and P. Zinterhof, editors, Proceedings of the International Workshop on Parallel Numerics (Parnum '97), pages 59-71, Zakopane, Poland, September 1997.
[17]
A. Ferscha. Parallel and distributed simulation of discrete event systems. In A.Y.H. Zomaya, editor, Parallel and Distributed Computing Handbook, pages 1003-1041. McGraw-Hill, 1996.
[18]
G.S. Fishman. Monte Carlo: Concepts, Algorithms, and Applications, volume 1 of Springer Series in Operations Research. Springer, New York, 1996.
[19]
G. Fox et al. Solving problems on concurrent processors, vol. 1. Prentice-Hall, 1988.
[20]
P. Hellekalek, T. Auer, K. Entacher, H. Leeb, O. Lendl, and S. Wegenkittl. The PLAB www-server. http://random.mat.sbg.ac.at. Also accessible via ftp.
[21]
A.R. Krommer and C.W. Uberhuber. Numerical Integration on Advanced Computer Systems, volume 848 of Lecture Notes in Computer Science. Springer Verlag, 1994.
[22]
P. L'Ecuyer and T.H. Andres. A random number generator based on the combination of four LCGs. Mathematics and Computers in Simulation, 44:99- 107, 1997.
[23]
P. L'Ecuyer and S. C5te. Implementing a Random Number Package with Splitting Facilities. ACM Transactions on Mathematical Software, 17(1):98- 111, 1991.
[24]
H. Leeb and S. Wegenkittl. Inversive and linear congruential pseudorandom number generators in selected empirical tests. ACA/{ TOMACS, 7(2):272-286, 1997.
[25]
J. Makino and Miyamura O. Parallelized feedback shift register generators of pseudorandom numbers. Parallel Computing, 21:1015-1028, 1995.
[26]
M. Mascagni. Some methods of parallel pseudorandom number generation. In R. Schreiber, M. Heath, and A. Ranade, editors, Proceedings of the IMA Workshop on Algorithms for Parallel Processing. Springer-Verlag, 1997. To appear.
[27]
M. Mascagni, S. A. Cuccaro, D. V. Pryor, and M. L. Robinson. A fast, high quality, and reproducible parallel lagged-Fibonacci pseudorandom number generator. Journal of Computational Physics, 119:211- 219, 1995.
[28]
N. Masuda and F. Zimmerman. PRNGlib: A Parallel Random Number Generator Library. Technical report, Swiss Center for Scientific Computing, 1996. Available at http://www.cscs.ch/0fficial/ Publi cat ions. html.
[29]
N.M. McLaren. The Generation of Multiple Independent Sequences of Pseudorandom Numbers. AppI. Statist., 38:351-359, 1989.
[30]
H. Niederreiter. Random Number Generation and Quasi-Monte Carlo Methods. SIAM, Philadelphia, USA, 1992.
[31]
H. Niederreiter. New developments in uniform pseudorandom number and vector generation. In H. Niederreiter and P.J.-S. Shiue, editors, Monte Carlo and Quasi Monte Carlo Methods in Scientific Computing, volume 106 of Lecture Notes in Statistics, pages 87-120. Springer, 1995.
[32]
I. Radovid, I.M. Sobol, and R.F. Tichy. Quasi-Monte Carlo Methods for Numerical Integration: Comparison of Different Low Discrepancy Sequences. Monte Carlo Methods and Appl., 2(1):1-14, 1996.
[33]
V.S. Sunderam, G.A. Geist, J. Dongarra, and R. Manchek. The PVM concurrent computing system: evolution, experiences, and trends. Parallel Computing, 20:531-545, 1994.

Cited By

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  • (2012)Experimental Analysis of Non-Rollbackable Pseudo Random Number in Optimistic Parallel SimulationProceedings of the 2012 International Conference on Information Technology and Software Engineering10.1007/978-3-642-34522-7_70(661-666)Online publication date: 6-Nov-2012
  • (2003)Defects in parallel Monte Carlo and quasi-Monte Carlo integration using the leap-frog techniqueParallel Algorithms and Applications10.1080/106371903100008802118:1-2(13-26)Online publication date: May-2003
  • (2010)Generating parallel random sequences via parameterizing EICGs for heterogeneous computing environmentsProceedings of the 2010 international conference on Computational Science and Its Applications - Volume Part IV10.1007/978-3-642-12189-0_36(409-417)Online publication date: 23-Mar-2010
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Published In

cover image ACM SIGSIM Simulation Digest
ACM SIGSIM Simulation Digest  Volume 28, Issue 1
July 1998
176 pages
ISSN:0163-6103
DOI:10.1145/278009
Issue’s Table of Contents
  • cover image ACM Conferences
    PADS '98: Proceedings of the twelfth workshop on Parallel and distributed simulation
    July 1998
    204 pages
    ISBN:0818684577

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 01 July 1998
Published in SIGSIM Volume 28, Issue 1

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Cited By

View all
  • (2012)Experimental Analysis of Non-Rollbackable Pseudo Random Number in Optimistic Parallel SimulationProceedings of the 2012 International Conference on Information Technology and Software Engineering10.1007/978-3-642-34522-7_70(661-666)Online publication date: 6-Nov-2012
  • (2003)Defects in parallel Monte Carlo and quasi-Monte Carlo integration using the leap-frog techniqueParallel Algorithms and Applications10.1080/106371903100008802118:1-2(13-26)Online publication date: May-2003
  • (2010)Generating parallel random sequences via parameterizing EICGs for heterogeneous computing environmentsProceedings of the 2010 international conference on Computational Science and Its Applications - Volume Part IV10.1007/978-3-642-12189-0_36(409-417)Online publication date: 23-Mar-2010
  • (2008)Parallel white noise generation on a GPU via cryptographic hashProceedings of the 2008 symposium on Interactive 3D graphics and games10.1145/1342250.1342263(79-87)Online publication date: 15-Feb-2008
  • (2006)Pseudorandom number generation on the GPUProceedings of the 21st ACM SIGGRAPH/EUROGRAPHICS symposium on Graphics hardware10.1145/1283900.1283914(87-94)Online publication date: 3-Sep-2006
  • (1999)Monkeys, gambling, and return timesProceedings of the 31st conference on Winter simulation: Simulation---a bridge to the future - Volume 110.1145/324138.324447(625-631)Online publication date: 1-Dec-1999

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