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Monte Carlo Simulation

In: Structural Reliability and Time-Dependent Reliability

Author

Listed:
  • Cao Wang

    (University of Wollongong)

Abstract

This chapter discusses the basic concept and techniques for Monte Carlo simulation. The simulation methods for a single random variable as well as those for a random vector (consisting of multiple variables) are discussed, followed by the simulation of some special stochastic processes, including Poisson process, renewal process, Gamma process and Markov process. Some advanced simulation techniques, such as the importance sampling, Latin hypercube sampling, and subset simulation, are also addressed in this chapter.

Suggested Citation

  • Cao Wang, 2021. "Monte Carlo Simulation," Springer Series in Reliability Engineering, in: Structural Reliability and Time-Dependent Reliability, chapter 0, pages 105-163, Springer.
  • Handle: RePEc:spr:ssrchp:978-3-030-62505-4_3
    DOI: 10.1007/978-3-030-62505-4_3
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    Citations

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    Cited by:

    1. El-Dib, Yusry O. & Elgazery, Nasser S., 2022. "A novel pattern in a class of fractal models with the non-perturbative approach," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    2. Guilin Zhu & Linyou Zhang & Zhihui Deng & Qingda Feng & Zhaoxuan Niu & Wenhao Xu, 2023. "Three-Dimensional Geological Modeling and Resource Estimation of Hot Dry Rock in the Gonghe Basin, Qinghai Province," Energies, MDPI, vol. 16(16), pages 1-16, August.
    3. Guillem Piris & Ignasi Herms & Albert Griera & Montse Colomer & Georgina Arnó & Enrique Gomez-Rivas, 2021. "3DHIP-Calculator—A New Tool to Stochastically Assess Deep Geothermal Potential Using the Heat-In-Place Method from Voxel-Based 3D Geological Models," Energies, MDPI, vol. 14(21), pages 1-21, November.
    4. Maximilian Frick & Stefan Kranz & Ben Norden & David Bruhn & Sven Fuchs, 2022. "Geothermal Resources and ATES Potential of Mesozoic Reservoirs in the North German Basin," Energies, MDPI, vol. 15(6), pages 1-26, March.
    5. Gang Liu & Duo Chen & Bo Li & Changjun Li, 2023. "Primary Growth Behavior of Sulfur Particles through the Throttle Valve in the Transmission System of High Sulfur Content Natural Gas," Energies, MDPI, vol. 16(7), pages 1-31, March.
    6. Wei Zhang & Qihong Feng & Sen Wang & Xianmin Zhang & Jiyuan Zhang & Xiaopeng Cao, 2022. "Molecular Simulation Study and Analytical Model for Oil–Water Two-Phase Fluid Transport in Shale Inorganic Nanopores," Energies, MDPI, vol. 15(7), pages 1-20, March.
    7. Qin, Lei & Wang, Ping & Lin, Haifei & Li, Shugang & Zhou, Bin & Bai, Yang & Yan, Dongjie & Ma, Chao, 2023. "Quantitative characterization of the pore volume fractal dimensions for three kinds of liquid nitrogen frozen coal and its enlightenment to coalbed methane exploitation," Energy, Elsevier, vol. 263(PA).
    8. Tan, Bo & Cheng, Gang & Fu, Shuhui & Wang, Haiyan & Li, Zixu & Zhang, Xuedong, 2022. "Molecular simulation for physisorption characteristics of O2 in low-rank coals," Energy, Elsevier, vol. 242(C).
    9. Li, Jing & Xie, Yetong & Liu, Huimin & Zhang, Xuecai & Li, Chuanhua & Zhang, Lisong, 2023. "Combining macro and micro experiments to reveal the real-time evolution of permeability of shale," Energy, Elsevier, vol. 262(PB).

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