Monte Carlo Simulation and Applications


  • Abd Al Kareem I Sheet Univ. of Mosul
  • Nadia Adeel Saeed Univ. of Mosul



Monte Carlo, Markov Renewal Process, simulation


The Monte Carlo simulation technique is one of the common computational tools used to imitate and follow up complex real life systems and their development with time. Variables of a disease problem were defined and the mathematical model for this problem was constructed. The numerical solution of this model was compared with the computational simulation of  Markov Renewal Process of the type '' Birth and Death ''. We obvious from the results we obtained the efficiency of the Monte Carlo simulation technique and through out extended time periods episodes. 


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- Burden, Richard L., Faires J. Douglas and “Numerical Analysis", Prindle, Weber and Schmidt, 7th Edition, 2001.

- Cinlar E., " Markov Renewal Theory: A survey management science ", 21, no. 7,

-752, 1975.

- Giordano Frank R.,Weir Maurice D. and Fox William P.,"A FirstCourse in Mathematical Modeling ", Brooks / cole,adivision of Thomson Learning, Inc., 2003.

- Heyman D.P. and Sobel M. J., " Stochastic Models in Operations Research " (vol. I), McGraw-Hill Book Company, 1982.

- Korn Granino A. and Wait ,John V, " Digital Continuous SystemSimulation ". Prentice-Hall Inc., 1978.

- Mackay D. J., Information Theory, Inference and Learning Algorithms, Draft Copy 2.4.1, 2002.

- Taylor, H. M. and Karlin S. " An introduction to Stochastic Modeling ", Academic Press Inc., 1984.

- Taha Hamdy A., " Operations Research ", Person Education, Inc., 7th Edition, 2003.

- Law A. and Kelton W., Simulation Modeling and Analysis, McGraw-Hill Higher Education, 3rd Edition, 2000.

- Sheet Abd alkareem I., Numerical Simulation of Markov renewal Equations, un published MSc. Thesis ,1991.

- Asmussen S., “Applied Probability and Queues” , John Wiley and Sons, Inc., 1987.




How to Cite

Sheet, A. A. K. I., & Saeed, N. A. (2012). Monte Carlo Simulation and Applications. Journal of Kufa for Mathematics and Computer, 1(6), 75–78.

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