• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to project page

2005 Fiscal Year Final Research Report Summary

Efficient Monte-Carlo Method using Precise Pseudorandom Numbers and Its Application to Reliability Problems

Research Project

Project/Area Number 15560418
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Structural engineering/Earthquake engineering/Maintenance management engineering
Research InstitutionAnan National College of Technology

Principal Investigator

MATSUHO A.S.  Anan National College of Technology, Associate Prof., 建設システム工学科, 助教授 (90157347)

Project Period (FY) 2003 – 2005
KeywordsMonte-Carlo Method / Efficiency / Pseudorandom Numbers / Reliability Problem / Structural System
Research Abstract

Monte Carlo method can be widely applied to various types of problems. Therefore, we can apply the method to problems that is hard to solve based on analytical methods. When these analytically difficult problems are solved using the Monte Carlo method, its efficient method is indispensable. So, this study tried to develop the efficient methods, which contain a method depends on precision of pseudorandom numbers
This study classified a Monte Carlo method into two types. One type is a Monte Carlo method that is used in integral problems. Another one is a method in which the relevant phenomena are simulated. It should be noted that the term of the hit-or-miss Monte Carlo method is not used only in the integral problems but also in the phenomena simulation problems. Because we can take many advantages of efficient methods in case of the integral problem, this study proposed such classification.
At the first half of this study, the phenomena simulation type of Monte Carlo method was considered and its efficient method was developed. Generally, the Monte Carlo calculation problems can be expressed in integral forms. However, some problems need adequate consideration in expression of integral. In such cases, the phenomena simulation type of Monte Carlo method can be conveniently applied.
The latter half of this study considered uniformly distributed pseudorandom numbers that emphasize its probabilistic uniformity. This is based on an idea that is used in quasi-Monte Carlo method. Through several numerical examples, it was shown that efficient Monte Carlo computation be realized, when the proposed pseudorandom numbers were used.

  • Research Products

    (4 results)

All 2005 2004

All Journal Article (4 results)

  • [Journal Article] 構造信頼性評価のための事象再現型モンテカルロ法の効率化2005

    • Author(s)
      松保重之(明憲)
    • Journal Title

      材料 54・3

      Pages: 314-319

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Efficient Hit-or-Miss Monte Carlo Methods Simulating Relevant Events for Structural Reliability Evaluation2005

    • Author(s)
      A.S.MATSUHO
    • Journal Title

      Journal of the Society of Materials Science Japan Vol.54, No.3

      Pages: 314-319

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] 構造信頼性評価に用いる乱数に関する基礎的考察2004

    • Author(s)
      松保重之(明憲)
    • Journal Title

      第20回材料・構造信頼性シンポジウム講演論文集 20・1

      Pages: 122-126

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Basic Study on Random Numbers that is used in Reliability Evaluation of Structures2004

    • Author(s)
      A.S.MATSUHO
    • Journal Title

      Proceeding of Symposium on Material and Structural Reliability Vbl.20

      Pages: 122-126

    • Description
      「研究成果報告書概要(欧文)」より

URL: 

Published: 2008-05-27  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi