G References

Ahrens, J., and V. Dieter. 1972. “Computer Methods for Sampling from the Exponential and Normal Distributions.” Communications of the Association for Computing Machinery 15: 873–82.
Akaike, H. 1974. “A New Look at the Statistical Model Identification.” IEEE Transactions on Automatic Control 19 (6): 716–23. https://doi.org/10.1109/TAC.1974.1100705.
Alexopoulos, C., and A. F. Seila. 1998. “Output Data Analysis.” In Handbook of Simulation, edited by J. Banks. John Wiley & Sons, New York.
Askin, R. G., and J. B. Goldberg. 2002. Design and Analysis of Lean Production Systems. John Wiley & Sons.
Axsäter, S. 2006. Inventory Control. Springer Science + Business Media.
Balci, O. 1997. “Principles of Simulation Model Validation, Verification, and Testing.” Transactions of the Society for Computer Simulation International.
———. 1998. “Verification, Validation, and Testing.” In The Handbook of Simulation, 335–93. John Wiley & Sons.
Ballou, R. H. 2004. Business Logistics/Supply Chain Management: Planning, Organizing, and Controlling the Supply Chain. 5th ed. Prentice-Hall.
Banks, J., J. Carson, B. Nelson, and D. Nicol. 2005. Discrete-Event System Simulation. 4th ed. Prentice Hall.
Biller, B., and B. L. Nelson. 2003. “Modeling and Generating Multivarate Time- Series Input Processes Using a Vector Autogressive Technique.” Assoc. Comput. Mach. Trans. Modeling and Comput. Simul. 13: 211–37.
Blanchard, B. S., and W. J Fabrycky. 1990. Systems Engineering and Analysis. Englewood Cliffs, New Jersey: Prentice- Hall.
Box, G. E. P., G. M. Jenkins, and G. C. Time Series Analysis Reinsel. 1994. Forecasting and Control. 3rd ed. Prentice Hall.
Box, G. E. P., and M. F. Muller. 1958. “Note on the Generation of Random Normal Deviates.” Annals of Mathematical Statistics 29: 610–11.
Brooks, Stephen. 1998. “Markov Chain Monte Carlo Method and Its Application.” Journal of the Royal Statistical Society: Series D (The Statistician) 47 (1): 69–100.
Cario, M. C., and B. L. Nelson. 1996. “Autoregressive to Anything: Time Series Input Processes for Simulation.” Operations Research Letters 19: 51–58.
———. 1998. “Numerical Methods for Fitting and Simulating Autoregressive-to-Anything Processes.” INFORMS Journal of Computing 10: 72–81.
Casella, G., and R. Berger. 1990. Statistical Inference. Wadsworth & Brooks/Cole.
Cash, C. R., D. G. Dippold, J. M. Long, B. L. Nelson, and W. P. Pollard. 1992. “Evaluation of Tests for Initial Conditions Bias.” In Proceedings of the 1992 Winter Simulation Conference, edited by J. J. Swain, D. Goldsman, R. C. Crain, and J. R. Wilson, 577–85.
Cheng, R. C. 1977. “The Generation of Gamma Variables with Nonintegral Shape Parameters.” Applied Statistics 26 (1): 71–75.
Chopra, S., and Meindl. 2007. Supply Chain Management: Strategy, Planning, and Operations. 3rd ed. Prentice-Hall.
Cody, W. J. 1969. “Rational Chebyshev Approximations for the Error Function.” Mathematics of Computation 23 (107): 631–37.
Command, Air Force Systems. 1991. ASD Directorate of Systems Engineering and DSMC Technical Management Department.
Cooper, R. B. 1990. Introduction to Queueing Theory. 3rd ed. CEEPress Books.
Davison AC, Hinkley DV. 1997. Bootstrap Methods and Their Application. Cambridge University Press.
Devroye, L. 1986. Non-Uniform Random Variate Generation. New York: Springer-Verlag.
Efron, B., and R. Tibshirani. 1986. “Bootstrap Methods for Standard Errors, Confidence Intervals, and Other Measures of Statistical Accuracy.” Statistical Science 1 (1): 54–75.
Efron, B., and R. Tibshirani. 1994. An Introduction to the Bootstrap. CRC Press.
Fishman, G. S. 2001. Discrete-Event Simulation: Modeling, Programming, and Analysis. New York: Springer.
Fishman, G. S., and L. S. Yarberry. 1997. “An Implementation of the Batch Means Method.” INFORMS Journal on Computing 9.
Fishman, George. 2006. A First Course in Monte Carlo. Thomson Brooks/Cole.
Fox, J., and S. Weisberg. 2018. An r Companion to Applied Regression. SAGE Publications.
Gan, F., and K. J. Koehler. 1990. “Goodness-of-Fit Tests Based on p-p Probability Plots.” Technometrics 32 (3): 289–303.
Geyer, Charles. 2011. “Handbook of Markov Chain Monte Carlo.” In, edited by Galin Jones Steve Brooks Andrew Gelman and Xiao-Li Meng. Vol. 20116022. CRC Handbooks of Modern Statistical Methods. Chapman & Hall.
Glynn, P. W., and W. Whitt. 1989. “Extensions of the Queueing Relation and \({L}=\lambda {W}\) and \({H}=\lambda {G}\).” Operations Research 37: 634–44.
Goldsman, D., and B. L. Nelson. 1998. “Comparing Systems via Simulation.” In Handbook of Simulation, edited by J. Banks. New York: John Wiley & Sons.
Gross, D., and C. M. Harris. 1998. Fundamentals of Queueing Theory. 3rd ed. New York: John Wiley & Sons.
Gross, D., J. F. Shortle, J. M. Thompson, and C. M. Harris. 2008. Fundamentals of Queueing Theory. John Wiley & Sons.
Hadley, G., and T. M. Whitin. 1963. Analysis of Inventory Systems. Prentice Hall.
Hull, T. E., and A. R. Dobell. 1962. “Random Number Generators.” SIAM Review 4: 230–54.
Kelton, W. D., R. P. Sadowski, and D. T. Sturrock. 2004. Simulation with Arena. 3rd ed. McGraw-Hill.
Kendall, D. G. 1953. “Stochastic Processes Occurring in the Theory of Queues and Their Analysis by the Method of Imbedded Markov Chains.” Annals of Mathematical Statistics 24: 338–54.
Kingman, J. F. C. 1964. The Heavy Traffic Approximation in the Theory of Queues. Proceedings of the Symposium On Congestion Theory.
Kleinrock, L. 1975. Queueing Systems. Vol. 1. John Wiley & Sons.
L’Ecuyer, P., R. Simard, and W. D. Kelton. 2002. “An Object-Oriented Random Number Package with Many Long Streams and Substreams.” Operations Research 50: 1073–75.
Lada, E. K., J. R. Wilson, and N. M. Steiger. 2003. A Wavelet-Based Spectral Method for Steady-State Simulation Analysis. Proceedings of the 2003 Winter Simulation Conference.
Law, A. 2007. Simulation Modeling and Analysis. 4th ed. McGraw-Hill.
Leemis, L. 1991. “Nonparametric Estimation of the Cumulative Intensity Function for a Nonhomogeneous Poisson Process.” Management Science 37 (7): 886–900.
Leemis, L. M., and S. K. Park. 2006. Discrete-Event Simulation: A First Course. Prentice-Hall.
Levina, E., and P. Bickel. 2001. “The Earth Mover’s Distance Is the Mallows Distance: Some Insights from Statistics.” In Proceedings Eighth IEEE International Conference on Computer Vision. ICCV 2001, 2:251–256 vol.2. https://doi.org/10.1109/ICCV.2001.937632.
Little, J. D. C. 1961. “A Proof for the Queuing Formula \({L}=\lambda {W}\).” Operations Research 9: 383–87.
Litton, J. R., and C. H. Harmonosky. 2002. A Comparison of Selective Initialization Bias Elimination Methods. Proceeding of the 2002 Winter Simulation Conference.
Livny, M., B. Melamed, and A. K. Tsiolis. 1993. “The Impact of Autocorrelation on Queueing Systems.” Management Science 39 (3): 322–39.
Matejcik, F. J., and B. L. Nelson. 1995. “Two-Stage Multiple Comparisons with the Best for Computer Simulation.” Operations Research 43 (4): 633–40.
Miller, L. H. 1956. “Table of Percentage Points of Kolmogorov Statistics.” Journal of the American Statistical Association, 111–21.
Montgomery, D. C., and G. C. Runger. 2006. Applied Statistics and Probability for Engineers. 4th ed. John Wiley & Sons.
Muckstadt, J. A., and A. Sapras. 2010. Principles of Inventory Management: When You Are down to Four, Order More. Springer.
Nadarajah, Saralees, Emmanuel Afuecheta, and Stephen Chan. 2017. “A Compendium of Copulas.” Statistica 77 (4): 279–328. https://doi.org/10.6092/issn.1973-2201/7202.
Nahmias, S. 2001. Production and Operations Analysis. 4th ed. McGraw-Hill.
Nelsen, Roger B. 2004. “Properties and Applications of Copulas : A Brief Survey.” In. https://api.semanticscholar.org/CorpusID:2508363.
Nelson, B. L. 1990. “Control Variate Remedies.” Operations Research 38 (6): 974–92.
———. 1995. Stochastic Modeling Analysis and Simulation. McGraw-Hill.
Nelson, B. L., and L. Pei. 2021. Foundations and Methods of Stochastic Simulation: A First Course. Vol. 316. International Series in Operations Research & Management Science. Springer International Publishing.
Nelson, B. L., J. Swan, D. Goldsman, and W. Song. 2001. “Simple Procedures for Selecting the Best Simulated System When the Number of Alternatives Is Large.” Operations Research 49 (6): 950–63.
Nelson, Roger B. 1999. An Introduction to Copulas. ISBN o-387-98623-5. New York: Springer-Verlag.
Patuwo, B. E., R. L. Disney, and D. C. Mcnickle. 1993. “The Effect of Correlated Arrivals on Queues.” IIE Transactions 25 (3): 105–10.
Pegden, C. D., R. E. Shannon, and R. P. Sadowski. 1995. Introduction to Simulation Using SIMAN. 2nd ed. McGraw-Hill.
Pishro-Nik, H. 2014. Introduction to Probability, Statistics, and Random Processes. Kappa Research LLC.
Ravindran, A., D. Phillips, and J Solberg. 1987. Operations Research Principles and Practice. 2nd ed. John Wiley & Sons.
Ripley, B. D. 1987. Stochastic Simulation. John Wiley & Sons Inc.
Robert, Christian P., and Wu Changye. n.d. “Markov Chain Monte Carlo Methods, a Survey with Some Frequent Misunderstandings.” http://arxiv.org/abs/2001.06249.
Robinson, S. 2005. “Automated Analysis of Simulation Output Data.” Edited by M. E. Kuhl, N. M. Steiger, F. B. Armstrong, and J. A. Joines. Proceedings of the 2005 Winter Simulation Conference 763-770.
Ross, S. 1997. Introduction to Probability Models. 6th ed. Academic Press.
Ross, Sheldon M. 2023. Simulation (6th Edition). Elsevier.
Rossetti, M. D. 2008. JSL: An Open-Source Object-Oriented Framework for Discrete-Event Simulation in Java.” International Journal of Simulation and Process Modeling 4 (1): 69–87.
———. 2015. Simulation Modeling and Arena. New York, New York: John Wiley & Sons.
Rossetti, M. D., and P. J. Delaney. 1995. Control of Initialization Bias in Queueing Simulations Using Queueing Approximations. Piscataway, New Jersey: Institute of Electrical; Electronics Engineers.
Rossetti, M. D., and Z. Li. 2005. “Exploring Exponentially Weighted Moving Average Control Charts to Determine the Warm-up Period.” In Proceedings of the 2005 Winter Simulation Conference, edited by M. E. Kuhl, N. M. Steiger, F. B. Armstrong, and J. A. Joines, 771–80. Piscataway, New Jersey: Institute of Electrical; Electronics Engineers.
Rubinstein, R., and D. Kroese. 2017. Simulation and the Monte Carlo Method. John Wiley & Sons Inc.
Rumbaugh, J. R., M. R. Blaha, L. Lorenson, F. Eddy, and W. Premerlani. 1991. Object-Oriented Modeling and Design. Prentice Hall.
Schmeiser, B. W. 1982. “Batch Size Effects in the Analysis of Simulation Output.” Operations Research 30: 556–68.
Schwarz, Gideon. 1978. Estimating the Dimension of a Model.” The Annals of Statistics 6 (2): 461–64. https://doi.org/10.1214/aos/1176344136.
Silver, E. A., D. F. Pyke, and R. Peterson. 1998. Inventory Management and Production Planning and Scheduling. 3rd ed. John Wiley & Sons.
Sklar, A. 1959. “Fonctions de r ́Epartition a ́ n Dimensions Et Leurs Marges.” Publ. Inst. Statist. Univ. Paris 8: 229–31.
Soto, J. 1999. “Statistical Testing of Random Numbers.” In Proceedings of the 22nd National Information Systems Security Conference.
Speagle, Joshua S. 2020. “A Conceptual Introduction to Markov Chain Monte Carlo Methods.” 2020. http://arxiv.org/abs/1909.12313.
Stecke, K. E. 1992. “Machine Interference: Assignment of Machines to Operators.” In Handbook of Industrial Engineering, edited by G. Salvendy. John-Wiley & Sons.
Steiger, N. M., and J. R. Wilson. 2002. “An Improved Batch Means Procedure for Simulation Output Analysis.” Management Science 48.
Tijms, H. C. 2003. A First Course in Stochastic Models. John-Wiley & Sons.
Van Ravenzwaaij, Pete Cassey, Don, and Scott D. Brown. 2018. “A Simple Introduction to Markov Chain Monte–Carlo Sampling.” Psychonomic Bulletin & Review 25 (1): 143–54.
Vose, David. 2010. “Fitting Distributions to Data.” https://citeseerx.ist.psu.edu/document?repid=rep1&type=pdf&doi=19631811c7fd08cac567a4ee886acae6d82e8f3f.
Wehrens, Hein Putter, Ron, and Lutgarde M. C Buydens. 2000. “The Bootstrap: A Tutorial.” Chemometrics and Intelligent Laboratory Systems 54 (1): 35–52.
Welch, P. D. 1983. “A Graphical Approach to the Initial Transient Problem in Steady State Simulation.” In 10th IMACS World Congress on System Simulation and Scientific Computation, 219–21.
White, K. P., M. J. Cobb, and S. C. Spratt. 2000. A Comparison of Five Steady-State Truncation Heuristics for Simulation. Proceeding of the 2000 Winter Simulation Conference.
Whitt, W. 1983. “The Queueing Network Analyzer.” The Bell System Technical Journal 62 (9): 2779–2815.
———. 1989. “Planning Queueing Simulations.” Management Science 35 (11): 1341–66.
———. 1993. “Approximations for the GI/G/m Queue.” Productions and Operations Management 2 (2): 114–61.
Williams, C. Arthur. 1950. “On the Choice of the Number and Width of Classes for the Chi-Square Test of Goodness of Fit.” Journal of the American Statistical Association 45 (249): 77–86.
Wilson, J. R., and A. A. B. Pritsker. 1978. “A Survey of Re-Search on the Simulation Startup Problem.” Simulation.
Zipkin, P. H. 2000. Foundations of Inventory Management. McGraw-Hill.