Skip to main content

Elements of Statistics for Simulation

  • Chapter
  • First Online:
Robust Modelling and Simulation

Abstract

This chapter presents statistical concepts and definitions that are used when designing a simulation model. We start, in the first instance, by considering a conceptual model, then the need to verify the initial data for the model, followed, if necessary, by the data that can be adjusted to some probability distribution, where validating this adjustment also involves statistical concepts. Later, once the results are in, we consider the experiments that need to be done, as well as the replications, ending up with the analysis of the data obtained.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 99.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 129.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 129.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Notes

  1. 1.

    http://www.promodel.com.mx/statfit.php.

References

  • Altiok, T., & Melamed, B. (2007). Simulation modeling and analysis with ARENA. New York: Academic Press.

    Google Scholar 

  • Banks, J. (ed.). (1998). Handbook of simulation. New York: Wiley.

    Google Scholar 

  • Barton, R. (2004). Designing simulation experiments. In Proceedings of the 2004 winter simulation conference (pp. 73–79).

    Google Scholar 

  • Carson, J., & Banks, J. (1993). Discrete- event system simulation. Englewood Cliffs: Prentice Hall.

    Google Scholar 

  • Coss, B. R. (2003). Simulación. Limusa: Un enfoque práctico.

    Google Scholar 

  • Currie, C., & Cheng, R. (2013) A practical introduction to analysis of simulation output data. In R. Pasupathy, S.-H. Kim, A. Tolk, R. Hill & M. E. Kuhl (Eds.), Proceedings of the 2013 winter simulation conference (pp. 328–341).

    Google Scholar 

  • Flores, I., & Elizondo, M. (2007). Apuntes de simulación, Facultad de Ingeniería UNAM.

    Google Scholar 

  • González, M. C. (1996). Modelos y simulación. UNAM: ENEP Acatlán.

    Google Scholar 

  • Gordon, G. (1991). Simulación de sistemas, 6ta. reimpresión de la 1ª. Edición, Diana.

    Google Scholar 

  • Guasch, A., Piera, M. A., Casanovas, J., & Figueras, Y. J. (2003). Modelado y simulación: aplicación a procesos logísticos de fabricación y servicios. 2a. ed., Barcelona, Ediciones UPC.

    Google Scholar 

  • Kelton, D., & Barton, R. (2003). Experimental design for simulation. In Proceedings of the 2003 winter simulation conference (pp. 59–65).

    Google Scholar 

  • Kolmogorov, A. N. Y., & Uspenskii, V.A. (1987). Algorithms and randomness, Ed. Teor. Veroyatnost. i Primenen.

    Google Scholar 

  • Law, A. (2003). How to conduct a successful simulation study. In Proceedings of the 2003 winter simulation conference (pp. 66–70).

    Google Scholar 

  • Law, A. (2004). Statistical analysis of simulation output data: The practical state of the art. In Proceedings of the 2004 winter simulation conference (pp. 67–72).

    Google Scholar 

  • Law, A. (2006). Simulation modeling and analysis with expertfit software. New York: Mc. Graw-Hill.

    Google Scholar 

  • Law, A. (2010). Statistical analysis of simulation output data: The practical state of the art. In Proceedings of the 2010 winter simulation conference (pp. 65–73).

    Google Scholar 

  • Law, A., & Kelton, D. (2000). Simulation modelling and analysis. New York: Mc. Graw-Hill.

    Google Scholar 

  • Lécuyer, P. (1990). Random numbers for simulation. Communications of the ACM, 33, Núm. 10, 85–97.

    Google Scholar 

  • Lehmer, D. H. (1951). Mathematical methods in large-scale computing units. In Proceedings of a second symposium on large-scale digital calculating machinery (pp. 141–146). Cambridge: Harvard University Press.

    Google Scholar 

  • Robinson, S., & Bhatia, V (1995). Secrets of successful simulation projects. In Conference: Simulation conference proceedings, Winter WSC ‘95 Proceedings of the 27th conference on Winter simulation, pp. 61–67

    Google Scholar 

  • Skoogh, A., & Johansson, B. (2008). A methodology for input data management in discrete event simulation projects. In S. J. Mason, R. R. Hill, L. Mönch, O. Rose, T. Jefferson & J. W. Fowler (Eds.), Proceedings of the 2008 winter simulation conference (pp. 1727–1735).

    Google Scholar 

  • Taha, H. (2004). Investigación de Operaciones, 7ª. ed., Prentice-Hall.

    Google Scholar 

  • Trybula, W. J. (1994). Building simulation models without data. Proceedings of the IEEE International Conference of Systems, Man and Cybernetics, 209–214.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this chapter

Cite this chapter

De La Mota, I.F., Guasch, A. (2017). Elements of Statistics for Simulation. In: Robust Modelling and Simulation. Springer, Cham. https://doi.org/10.1007/978-3-319-53321-6_2

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-53321-6_2

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-53320-9

  • Online ISBN: 978-3-319-53321-6

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics