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Journal of Quality Technology
A Quarterly Journal of Methods, Applications and Related Topics
Volume 8, 1976 - Issue 3
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Computer Programs

Speed and Quality of Random Numbers for Simulation

Pages 171-178 | Published online: 27 Feb 2018

References

Periodicals

  • Ashour, S., and Vaswani, S. D., “A GASP Simulation Study of Job-Shop Scheduling,” Simulation, Vol. 18, 1972, pp. 1–10.
  • Browne, W. G., “Trends of Simulation in Marketing Management,” Abstract, Interfaces, Bulletin of The Institute of Management Sciences, Meeting Issue, March 1972, pp. 121–122.
  • Gorenstein, S., “Testing a Random Number Generator,” Communications of the Association for Computing Machinery, Vol. 10, 1967, pp. 111–118.
  • Grosenbaugh, L. R., “More on Fortran Random Number Generators,” Communications of the Association for Computing Machinery, Vol. 12, 1969, p. 639.
  • Halton, J. H., “A Retrospective and Prospective Survey of the Monte Carlo Method,” SIAM Review, Vol. 12, 1970, pp. 1–63.
  • Kruskal, J. B., “Extremely Portable Random Number Generator,” Communications of the Association for Computing Machinery, Vol. 12, 1969, pp. 93–94.
  • Lewis, P. A. W.; Goodman, A. S.; and Miller, J. M., “A Pseudo-Random Number Generator for the System/360,” IBM Systems Journal, Vol. 8, 1969, pp. 136–146.
  • Lurie, D., and Mason, R. L., “Empirical Investigation of Several Techniques for Computer Generation of Order Statistics,” Communications in Statistics, Vol. 2, 1973, pp. 363–371.
  • Marsaglia, G., “Random Numbers Fall Mainly in the Planes,” Proceedings of the National Academy of Sciences, Vol. 61, 1968, pp. 25–28.
  • Marsaglia, G., “Regularities in Congruential Random Number Generators,” Numerische Mathematik, Vol. 16, 1970–71, pp. 8–10.
  • Marsaglia, G., and Bray, T. A., “One-line Random Number Generators and their Use in Combinations,” Communications of the Association for Computing Machinery, Vol. 11, 1968, pp. 757–759.
  • Neave, H. R., “On Using the Box-Muller Transformation with Multiplicative Congruential Pseudo-Random Number Generators,” Applied Statistics, Vol. 22, 1973, pp. 92–97.

Books

  • Bates, C. B., and Zirkle, J. A., “Analysis of Random Numbers from Four Random Number Generators,” Technical Report 4-71, Systems Analysis Group, U.S. Army Combat Development Command, Fort Belvoir, Virginia 22060, August 1971.
  • Chamberlain, R. L., and Jewett, D., The OMNITAB Programming System—A Guide for Users, Statistical Laboratory, Iowa State University, Ames, Iowa, 1968.
  • Dudewicz, E. J., IRCCRAND—The Ohio State University Random Number Generator Package, Technical Report No. 104, Department of Statistics, The Ohio State University, Columbus, Ohio 43210, October 1974.
  • Dudewicz, E. J., “Random Numbers: The Need, the History, the Generators,” Statistical Distributions in Scientific Work, Vol. 2: Model Building and Model Selection, edited by G. P. Patil, S. Kotz, and J. K. Ord, D. Reidel Publishing Company, Dordrecht, Holland, 1975, pp. 25–36.
  • Hogben, D.; Peavy, S. T.; and Varner, R. N., OMNITAB II User's Reference Manual, Technical Note 552, National Bureau of Standards, Washington, D.C. 20234, October 1971.
  • International Business Machines Corporation, “System/360 Scientific Subroutine Package, Version III, Programmer's Manual, Program Number 360A-CM-03X,” Manual GH20-0205-4 (Fifth Edition), IBM Corporation, White Plains, New York, August 1970.
  • Keane, C. G., “Uniformly Distributed Random Numbers—Real, Integer,” one page typed description and two pages of computer source code listing, Instruction & Research Computer Center, The Ohio State University, Columbus, Ohio, 1969.
  • Knuth, D. E., The Art of Computer Programming, Volume 2/Seminumerical Algorithms, Addison-Wesley Publishing Company, Inc., Reading, Massachusetts, 1969.
  • Koehl, F. S., The IRCCRAND Random-Number Generator Package, FORTLIB writeup, Instruction & Research Computer Center, The Ohio State University, Columbus, Ohio, 1975.
  • Learmonth, G. P., and Lewis, P. A. W., “Naval Postgraduate School Random Number Generator Package LLRANDOM,” Technical Report, Naval Postgraduate School, Monterey, California, June 1973.
  • Marsaglia, G.; Ananthanarayanan, K.; and Paul, N., “How to Use the McGill Random Number Package “SUPER-DUPER”,” four page typed description, School of Computer Science, McGill University, Montreal, Quebec, Canada, 1973.
  • Nib, N.; Bent, D. H.; and Hull, C. H., SPSS—Statistical Package for the Social Sciences, McGraw-Hill, Inc., New York, 1970.
  • Nie, N. H., and Hull, C. H., SPSS—Statistical Package for the Social Sciences: Update Manual, National Opinion Research Center, University of Chicago, Chicago, 1973.
  • Scott, T. J., “Uniformly Distributed Random Numbers Within Limits—Integer,” one page typed description and one page of computer source code listing, Instruction & Research Computer Center, The Ohio State University, Columbus, Ohio, 1968.
  • Walker, R. J., An Instruction Manual for CUPLThe Cornell University Programming Language, Cornell University, Ithaca, New York, 1967.

Transactions and Proceedings

  • Learmonth, G. P., and Lewis, P. A. W., “Statistical Tests of Some Widely Used and Recently Proposed Uniform Random Number Generators,” Proceedings of the Computer Science and Statistics Seventh Annual Symposium on the Interface (W. J. Kennedy, editor), Statistical Laboratory, Iowa State University, Ames, Iowa, 1973, pp. 163–171.
  • Schafer, D., “Process Integrity and Capability Through Statistical Methods—A Report,” Annual Technical Conference Transactions of the American Society for Quality Control, Vol. 27, 1973, pp. 374–380.

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