Optimization Problems through Numerical Methods and Simulations


Abstract views: 41 / PDF downloads: 28

Authors

  • Shkelqim Hajrulla Epoka University
  • Gihane Mansour Abou Jaoudeh Saint Joseph University
  • Robert Kosova University "A. Moisiu"
  • Henri Isufi Epoka University

Keywords:

Simulation, Numerical Methods, Optimization, Approximations, Distributions, Error Analysis

Abstract

This research sheds light on the significance of Monte Carlo simulation as a numerical method in
computer science, emphasizing the importance of probability distributions, approximations, errors, and
interpolation techniques within this context. Monte Carlo simulation is a resilient numerical method that can
be used to address optimization issues in the context of computer science.
This article showcases how Monte Carlo simulation, in conjunction with probability distributions and
numerical methods, can be employed to solve complex optimization challenges. The methodology involves
generating random samples from probability distributions to estimate optimal solutions through multiple
simulations, providing a way to estimate the ideal solution for optimization problems that are challenging to
analyze analytically.
The article concludes by discussing future trends and advancements, providing insights into potential
developments and possibilities for further research.
Overall, the article highlights how Monte Carlo simulation offers a way to estimate the ideal solution for
optimization problems in computer science. By exploring its real-world uses and examining its benefits and
drawbacks, this research provides a comprehensive understanding of its applicability and significance in the
field.

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Author Biographies

Shkelqim Hajrulla, Epoka University

Tirana, Albania, Faculty of Engineering, Computer Engineering Department

Gihane Mansour Abou Jaoudeh, Saint Joseph University

Beirut, Lebanon, Faculty of Science, Department of Mathematics

Robert Kosova, University "A. Moisiu"

 Durres, Albania, Faculty of Engineering, Department of Mathematics

Henri Isufi, Epoka University

Tirana, Albania, Faculty of Engineering, Computer Engineering Department

References

Caflisch, R. E. (1998). "Monte Carlo and quasi-Monte Carlo methods". Acta Numerica. 7: 1–49. Bibcode:1998AcNum...7....1C. doi:10.1017/S0962492900002804. S2CID 5708790.

Weinzierl, S. (2000). "Introduction to Monte Carlo methods". arXiv:hep-ph/0006269.

W.C Yeh: "Search for all d-mincuts of a limited-flow network": Computers & Operations Research, VOL 29: No. 13, 2002: pp. 1843-1858

G.S Fishman. "A comparison of four Monte Carlo methods for estimating the probability of s-t connectedness".IEEE Transactions on Reliability, Vol. 25, 1986, pp. 145-155

Hammersley, J. M.; Handscomb, D. C. (1964). Monte Carlo Methods. Methuen. ISBN 978-0-416-52340-9.

Hajrulla, S., Demir, T., Loubna, A. L. İ., & Souliman, N. (2023). Normal Distribution on Energy Saving Problem for the Wireless Sensor Network Life on the Vacation Period. Avrupa Bilim ve Teknoloji Dergisi, (47), 67-72.

Demir, T., Hajrulla, S., & Doğan, P. Using Special Functions on Grünwald-Letnikov and Riemann Liouville

Fractional Derivative and Fractional Integral.

Fryer Jr., R.G. and Loury, G.C. (no date) Affirmative action and its mythology, Journal of Economic Perspectives. Available at: https://www.aeaweb.org/articles?id=10.1257%2F089533005774357888

HAJRULLA, S., & HAJRULLA, G. (2021). Applying Math Economics Instructions on International Relations. PROCEEDINGS BOOK, 345.

Monte Carlo simulation for estimating geologic oil reserves. A case study from Kucova Oilfield in Albania R Kosova, V Shehu, A Naco, E Xhafaj, A Stana... – Muzeul Olteniei Craiova. Oltenia. Studii şi comunicări ..., 2015

Hajrulla, S., Demir, T., Bezati, L., & Kosova, R. (2023). The Impact of Constructive Learning Applied to the Teaching of Numerical Methods. AS-Proceedings, 1(1), 57-64.

Robert, CP; Casella, G (2004).“Statistical Methods (2nd ed.)“ Springer. ISBN 978-1-4419-1939-7.

Hajrulla, S., Demir, T., Lino, V., & Ali, L. (2023). An approach to solving real-life problems using normal distribution. Approximation of results using the Lagrange-Euler method. International Journal of Advanced Natural Sciences and Engineering Researches (IJANSER), 7(10), 18-25.

MONTE CARLO SIMULATION FOR ESTIMATING GEOLOGIC OIL RESERVES. A CASE STUDY FROM KUÇOVA OILFIELD IN ALBANIA. K Robert, X Evgjeni, S Alma, S Valentina, N Adrian... - Oltenia, Studii si Comunicari Seria Stiintele Naturii, 2015

Hajrulla, S., Osmani, D., Lino, V., Avdiu, D., & Hajrulla, D. (2022). A Statistical Method to Estimate AnUnkonown Price in Financial Markets. PROCEEDINGS BOOK, 383.

M.A. Samad, "An efficientt algorithm for Simultaneously deducing MPs as well cuts of a communicaticn network": Microelectronic Reliability, vol. 27, 1087: pp. 437-441

Hajrulla, S., Uka, A., & Ali, L. (2022, November). The role of the correct use of scientific language and scientific researches in improving the English language in universities. The relationship between English learning and research writing. In Conference Proceedings. Innovation in Language Learning 2022.

Harrison DA, Kravitz DA, Mayer DM, Leslie LM, Lev-Arey D. Understanding attitudes toward affirmative action programs in employment: summary and meta-analysis of 35 years of research. J Appl Psychol. 2006 Sep;91(5):1013-36. doi: 10.1037/0021-9010.91.5.1013. PMID: 16953765.

HAJRULLA, S., & HAJRULLA, G. (2021). A Survey and Statistical Data of Math Economics Applications International Relations Triple-Purpose. PROCEEDINGS BOOK, 444.

Kravitz, D. A., & Klineberg, S. L. (2000). Reactions to two versions of affirmative action action among Whites, Blacks, and Hispanics. Journal of Applied Psychology, 85(4), 597–611. https://doi.org/10.1037/0021-9010.85.4.597

Hajrulla, S., Bezati, L., & Hoxha, F. (2018). Application of Initial Boundary Value Problem on Logarithmic Wave Equation in Dynamics.

Mark C. Long et al. (2003) College applications and the effect of affirmative action, Journal of Econometrics. North-Holland. Available at: https://www.sciencedirect.com/science/article/pii/S0304407603002513

Home (2023) World Health Organization. World Health Organization. Available at: https://www.euro.who.int/__data/assets/pdf_file/0011/373718/alb-phc-ra-eng.pdf.2018

Hajrulla, D., Bezati, L., Hajrulla, G., & Hajrulla, S. (2023). Interaction Between the Risk Management Determinants. Risk Management Results Under the Hypothesis Method. International Journal of Advanced Natural Sciences and Engineering Researches (IJANSER), 7(11), 301-306.

Journal of Educational and Social Research. Available at: https://www.mcser.org/journal/index.php/jesr

Hajrulla, S., Demir, T., Bezati, L., & Kosova, R. (2023). The impact of constructive learning applied to the teaching of numerical methods. AS-Proceedings, 1(1), 57-64.

Healthcare Resource Guide - Albania, International Trade Administration | Trade.gov. Available at: https://www.trade.gov/healthcare-resource-guide-albania

Press, WH; Teukolsky, SA; Vetterling, WT; Flannery, BP (2007). Numerical Recipes: The Art of Scientific Computing (3rd ed.). New York: Cambridge University Press. ISBN 978-0-521-88068-8.

W.J. Ke and S.D Wang: "Reliability evaluation for distributed computing netwcrks with imperfect nodes", IEEE -Transactions on Reliability ,vol. 46, 1007: pp. 342-340.

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Published

2024-03-11

How to Cite

Hajrulla, S., Jaoudeh, G. M. A., Kosova, R., & Isufi, H. (2024). Optimization Problems through Numerical Methods and Simulations . International Journal of Advanced Natural Sciences and Engineering Researches, 8(2), 241–250. Retrieved from https://as-proceeding.com/index.php/ijanser/article/view/1717

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