Transactions of the Japan Society for Industrial and Applied Mathematics

[title in Japanese]

Article type: Cover
2002 Volume 12 Issue 1 Pages Cover1-
Published: March 15, 2002
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.12.1_Cover1

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[title in Japanese]

Article type: Cover
2002 Volume 12 Issue 1 Pages Cover2-
Published: March 15, 2002
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.12.1_Cover2

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[title in Japanese]

Article type: Appendix
2002 Volume 12 Issue 1 Pages App1-
Published: March 15, 2002
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.12.1_App1

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[title in Japanese]

[in Japanese]

Article type: Article
2002 Volume 12 Issue 1 Pages i-
Published: March 15, 2002
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.12.1_i

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[title in Japanese]

Article type: Appendix
2002 Volume 12 Issue 1 Pages App2-
Published: March 15, 2002
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.12.1_App2

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Solving Ordinary Differential Equations by Taylor Series

Hiroshi Hirayama, Seiji Komiya, Soutarou Satou

Article type: Article
2002 Volume 12 Issue 1 Pages 1-8
Published: March 15, 2002
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.12.1_1

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The arithmetic operations and functions of Taylor series can be defined by C++ language. The functions which consist of arithmetic operations, pre-defined functions and conditional statements can be expanded in Taylor series. Using this, the solution of an ordinary differential equation can be expanded in Taylor series. The solution can be expanded up to arbitrary order, so the calculation formula of arbitrary order can be used instead of Runge-Kutta formula. Taylor series can be used for the evaluations of the errors and the optimal step size within given error allowance easily. In addition, we can transform Taylor series into Pade series, which give arbitrary order, high precision and A-stable formula for solving ordinary differential equation numerically.

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Optimization of Sub-package Problem in Building Construction Project : Proposal of Sub-package Support System

Yuko Wada, Shuzo Furusaka, Katsuki Fujisawa, Takashi Kaneta

Article type: Article
2002 Volume 12 Issue 1 Pages 9-28
Published: March 15, 2002
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.12.1_9

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A single construction project is undertaken by a multitude of firms comprised of a prime contractor and many subcontractors. Generally, these organizations are assembled only for the period of the construction project. The success of the project depends largely on whether subcontractor organizations can be properly engaged and managed. The general contractor has the right to define the work scope for each component of the construction project and to assign the subcontractor to carry out each subtask. Therefore, it is very important for the general contractor to develop a good subcontractor team based on the specific characteristics of each project. In this paper, we present a new concept of a sub-package problem by focusing on its management time and cost. Also, we formulate the sub-package problem as a mathematical programming model through which we demonstrate some numerical results.

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Development of Refining Tool for Large-Scale Parallel FE Analyses

Hiroshi Okuda, Shin'ichi Ezure, Kengo Nakajima

Article type: Article
2002 Volume 12 Issue 1 Pages 29-43
Published: March 15, 2002
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.12.1_29

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At present, in order to carry out computer simulations of complex large-scale problems, parallel computers are necessary to store huge amounts of data and to solve such problems in a given practical time. The finite element method (FEM) has been widely applied in various fields of engineering science, but considerable time and labor are needed to prepare the mesh data of complex large-scale model, especially for parallel computations. In order to satisfy these demands, we developed a Parallel Mesh Relocator (PMR), which combined the functions of partitioning and refining of a given finite element mesh. In this paper, we report algorithms implemented in the developed PMR software and verify them by applying PMR to several models.

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Dynamic Progamming for Generating Optimal Development of a Sheet Metal Product

Masaya Toyama, Shigeyuki Tomita, Yasunari Yoshitomi

Article type: Article
2002 Volume 12 Issue 1 Pages 45-66
Published: March 15, 2002
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.12.1_45

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This paper presents a new method for generating the optimal development of a sheet metal product. In this work, Dynamic Programming is adopted. Each of two sections of the entrance and the exit is expressed with some points. The objective function is made up from two functions, the first of which describes the total length of bending lines that links two sample points surrounding the entrance and the exit, respectively; the second of which describes the smoothness of changes in directions of normal vectors of the generated side surfaces. We can then get some optimal solutions more speedily, which are practical enough to be used in the industry.

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On A Chaotic Method Classifying Time Series Data

Fumio Ohi, Tatsuya Suzuki, Kazuomi Sugimoto

Article type: Article
2002 Volume 12 Issue 1 Pages 67-78
Published: March 15, 2002
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.12.1_67

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Several methods that distinguish between a normal and an abnormal time series have been proposed. See Iokibe [3], Kaplan and Glass [4], and Wayland, Bromley, Pickett and Passamante [7]. These methods are algorithmically complicated, and then it is hard to clear the mathematical properties of them. In this paper we propose two simple methods for the problem of classification of time series data, which are called cos analysis method (CAM) and simplified cos analysis method (SCAM). Applying the proposed methods to the artificially produced chaotic time series data and the pressure data of an extruder, we show that we may practically use the methods for checking the strangeness of machines. Furthermore, using ergodic theory, we show that the quantity derived by the simplified cos analysis method equals to -1/2, when the time series data is random.

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[title in Japanese]

Article type: Appendix
2002 Volume 12 Issue 1 Pages App3-
Published: March 15, 2002
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.12.1_App3

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[title in Japanese]

Article type: Cover
2002 Volume 12 Issue 1 Pages Cover3-
Published: March 15, 2002
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.12.1_Cover3

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[title in Japanese]

Article type: Cover
2002 Volume 12 Issue 1 Pages Cover4-
Published: March 15, 2002
Released on J-STAGE: April 08, 2017

DOIhttps://doi.org/10.11540/jsiamt.12.1_Cover4

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