Abstract
Simulation is one of the most widely used probabilistic modeling tools in industry. It is used for the analysis of existing systems and for the selection of hypothetical systems. For example, suppose a bank has been receiving complaints from customers regarding the length of time that customers are spending in line waiting at the drivein window. Management has decided to add some extra windows; they now need to decide how many to add. Simulation models can be used to help management in determining the number of windows to add. Even though the main focus of this textbook is towards building analytical (as opposed to simulation) models, there will be times when the physical system is too complicated for analytical modeling; in such a case, simulation would be an appropriate tool. The idea behind simulation, applied to this banking problem, is that a computer program would be written to generate randomly arriving customers, and then process each customer through the drive-in facility.
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References
Cario, M.C., and Nelson, B.L. (1997). Modeling and Generating Random Vectors with Arbitrary Marginal Distributions and Correlation Matrix. Technical Report, Department of Industrial Engineering and Management Sciences, Northwestern University, Evanston, IL.
Deng, L.Y., and Lin, D.K.J. (2000). Random Number Generation for the New Century. The American Statistician, 54:145–150.
Law, A.M. (2007). Simulation Modeling and Analysis, 4th ed., McGraw Hill, Boston.
L’Ecuyer, P. (1996). Combined Multiple Recursive Random Number Generators. Operations Research, 44:816–822.
Leemis, L.M., and Park, S.K. (2006). Discrete-Event Simulation: A First Course, Pearson Prentice Hall, Upper Saddle River, NJ.
L’Ecuyer, P. (1999). Good Parameters and Implementations for Combined Multiple Recursive Random Number Generators. Operations Research, 47:159–164.
Mlodinow, L. (2008). The Drunkard’s Walk: How Randomness Rules our Lives, Pantheon Book, New York.
Odeh, R.E., Evans, J.O. (1974). The Percentage Points of the Normal Distribution. Applied Statistics, 23:96–97.
Schrage, L. (1979). A More Portable Fortran Random Number Generator. ACM Transactions on Mathematical Software, 5:132–138.
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© 2010 Springer-Verlag Berlin Heidelberg
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Feldman, R.M., Valdez-Flores, C. (2010). Basics of Monte Carlo Simulation. In: Applied Probability and Stochastic Processes. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-05158-6_2
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DOI: https://doi.org/10.1007/978-3-642-05158-6_2
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