Decimal pseudo-random number generator

Article Abstract:

A pseudo-random generator for decimal numbers (biquinary pairs) based on a combination of a binary and a quinary maximal-length sequence is presented. With an appropriate vector mapping of the combined maximal-length sequences the autocorrelation function is shown to be tri-level with approximate values of 1, 0.5, and 0. This effectively renders the numbers uncorrelated except at values equal to the lengths of the individual maximal-length sequences, where this autocorrelation is 0.5. The first peak value of the autocorrelation function occurs at a value equal to the length of the shorter of the component sequences. (Reprinted by permission of the publisher.)

Mathematical logic, Binary Number System, Pseudo-Random Number Generation, Decimal Number System, Correlation Analysis

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An empirical evaluation of antithetic variates and quasirandom points for simulating stochastic networks

Article Abstract:

This paper is concerned with simulation procedures for estimating the distribution function of the time to complete stochastic activity networks. A conditional Monte Carlo method using uniformly directed cutsets is considered and combined with antithetic variate sampling and quasirandom points. The efficiency of the two variance reduction techniques is compared using CPU times and mean-square errors. By using three examples the study illustrates the decreasing benefits of using quasirandom points over antithetic variate technique as the network size increases. (Reprinted by permission of the publisher.)

Mathematical models, Product introduction, Network analyzers, LAN Monitor, Simulation, Mathematics of Computing, Scientific Research, Stochastic Model, New Technique, Algorithm Analysis, Monte Carlo Methods

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