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2003 Fiscal Year Final Research Report Summary

Research on the analysis and its utilization of evaluating fixed-assets for housing by the mathematical model

Research Project

Project/Area Number 14580494
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 社会システム工学
Research InstitutionNanzan University

Principal Investigator

OSAKI Shunji  Nanzan University, Department of Information and Telecommunication Engineering, Professor, 数理情報学部, 教授 (10034399)

Co-Investigator(Kenkyū-buntansha) DOHI Tadashi  Hiroshima University, Graduate School of Engineering, Professor, 大学院・工学研究科, 教授 (00243600)
SUZUKI Atsuo  Hiroshima University, Graduate School of Engineering, Professor, 数理情報学部, 教授 (70162922)
FUSHIMI Masanori  Nanzan University, Department of Mathematical Sciences, Professor, 数理情報学部, 教授 (70008639)
OKAMURA Hiroyuki  Hiroshima University, Graduate School of Engineering, Associate Professor, 大学院・工学研究科, 助教授 (10311812)
Project Period (FY) 2002 – 2003
Keywordsevaluation of a property tax by pricing land / factors for pricing land / estimation for pricing land / quantification method I / multiple regression analysis / proportional hazard model / maximum likelihood method / empirical analysis
Research Abstract

We have developed a mathematical model of evaluating fixed-assets for housing and made a system based on the mathematical model. In particular, the mathematical model has been extended to the multiple regression analysis form the quantification method I which is used in the previous researches. In the quantification method I, we have to categorize quantitative measures for pricing land such as the distance to station to several classes, so that the. quantitative measures would be regarded as discrete values. By using the multiple regression analysis, we have been able to use the quantitative measures directly to evaluate fixed-assets for housing. Similar to the multiple regression. analysis, the evaluation method on the Cox regression analysis has been proposed, where the Cox regression analysis is performed in a proportional hazard model. The proposed method takes an advantage to estimate the range of land prices, which is the interval estimation of land price, because the land price is represented as a random Variable in the proportional hazard model.
In numerical experiments, we have performed the multiple regression analysis and, the Cox regression analysis under the measures pricing land for housing which are collected in Higashi-Hiroshima City, and have compared two analyses quantitatively. To evaluate the goodness-of fit to the real land price for the multiple and Cox regression analyses, we use mean absolute errors, likelihood, AIC, BIC. As a result, the Cox regression analysis is superior to the multiple regression analysis in terms of pricing land for housing. In addition, the evaluation system has been developed on spreadsheet software, where we can estimate the prices of land with simple operations. In this system, the recent estimation methods are applied for making the fast estimation. Finally, we will submit the paper on this research to the journal of industrial and applied mathematics in Japan.

  • Research Products

    (24 results)

All Other

All Publications (24 results)

  • [Publications] 安田修: "土地価格形成要因の定量データに基づいた固定資産税路線価式評価法"日本オペレーションズ・リサーチ学会2003年秋季研究発表会予稿集. 80-81 (2003)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 安田修: "比例ハザードモデルに基づいた固定資産税路線価式評価法"日本オペレーションズ・リサーチ学会2003年秋春研究発表会. 248-249 (2003)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 岡村寛之: "EMアルゴリズムに基づいたソフトウェア信頼性モデルの推定"電子情報通信学会論文誌. J85-A. 442-450 (2002)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] 岡村寛之: "モジュール構造をもつソフトウェアの信頼性モデル"電子情報通信学会論文誌. J85-D-I. 905-914 (2002)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Hiroyuki Okamura: "An iterative scheme for maximum likelihood estimation in software reliability modeling"Proceedings of 14th International Symposium on Software Reliability Engineering. 246-256 (2003)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Kazuki Iwamoto: "Discrete-time cost analysis for a telecommunication billing application with rejuvenation"Proc.2nd Euro-Japanese Workshop on Stochastic Risk Modelling for Finance, Insurance, Production and Reliability. 181-190 (2002)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Hiroki Fujio: "Fine-grained shock models to rejuvenate a software system"Proc.2nd Euro-Japanese Workshop on Stochastic Risk Modelling for Finance, Insurance, Production and Reliability. 111-120 (2002)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Hiroaki Suzuki: "Cost-effective analysis of software systems with periodic rejuvenation"IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences. E85-A. 2923-2932 (2002)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Hiroyuki Okamura: "Dependability Analysis of a Transaction-Based Multi-Server System with Rejuvenation"IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences. E86-A. 2081-2090 (2003)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Hiroyuki Okamura: "Phase type approximation for optimal auto-sleep scheduling"Mathematical and Computer Modelling. 38. 1391-1398 (2003)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Hiroyuki Okamura: "A structural approximation method to generate the optimal auto-sleep schedule for computer systems"computers and Mathematics with Applications. 46. 1103-1110 (2003)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Zvi Drezner: "The big triangle small triangle method for the solution of nonconvex facility location problems"Operations Research. 52. 128-135 (2004)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] Osamu Yasuda: "An evaluation method of fixed-assets based on quantitative measures of factors pricing land"Abstracts of the 2003 Fall National Conference of Operations Research Society of Japan. 80-81 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Osamu Yasuda: "An evaluation method of fixed-assets based on a proportional hazard model"Abstracts of the 2003 Spring National Conference of Operations Research Society of Japan. 248-249 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Hiroyuki Okamura: "An estimation of software reliability models based on EM algorithm, Transactions of the Institute of Electronics"Information and Communication Engineers A. J85-A. 442-450 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Hiroyuki Okamura: "A reliability growth model for modular software, Transactions of the Institute of Electronics"Information and Communication Engineers D-I. J85-D-I. 905-914 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Hiroyuki Okamura: "An iterative scheme for maximum likelihood estimation in software reliability modeling"Proceedings of 14th International Symposium on Software Reliability Engineering. 246-256 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Kazuki Iwamoto: "Discrete-time cost analysis for a telecommunication billing application with-rejuvenation"Proceedings of 2nd Euro-Japanese Workshop on Stochastic Risk Modeling for Finance Insurance, Production and Reliability. 181-190 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Hiroki Fujii: "Fine-grained shock models to rejuvenate a software system, Proceedings of 2nd Euro-Japanese Workshop on Stochastic Risk Modeling for Finance"Insurance, Production and Reliability. 111-120 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Hiroaki Suzuki: "Cost-effective analysis of software systems with periodic rejuvenation"IEICE Transactions on Fundamentals of Electronics, Communication and Computer Sciences. E85-A. 2923-2932 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Hiroyuki Okamura: "Dependability analysis of a transaction-based multi-server system with rejuvenation, IEICE Transactions on Fundamentals of Electronics"Communication and Computer Sciences. E86-A. 2081-2090 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Hiroyuki Okamura: "Phase type approximation for optimal auto-sleep scheduling"Mathematical and Computer Modeling. 38. 1391-1398 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Hiroyuki Okamura: "A structural approximation method to generate the optimal auto-sleep schedule for computer systems"Computers and Mathematics with Applications. 46. 1103-1110 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Zvi Drezner, Atsuo Suzuki: "The big triangle small triangle method for the solution of nonconvex facility location problems"Operations Research. Vol.52,No.1. 128-135 (2004)

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

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Published: 2005-04-19  

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