利用混合整数编程问题优化薄膜型光纤布线设计

IF 0.7 4区 数学 Q3 MATHEMATICS, APPLIED
Hiroki Ishikura, Takashi Wakamatsu, Nozomi Hata, Katsuki Fujisawa
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引用次数: 0

摘要

光纤是当今信息通信领域应用最广泛的工具之一,其发展轨迹十分活跃。薄膜互连是应用于光纤的方法之一。然而,由于其特性,必须做好互连设计,使每根光纤都能满足多项设计要求。在这项研究中,我们开发了一种利用薄膜光纤互连进行自动布线设计的数学模型。为了设计从薄膜顶部到底部的光纤布线,我们提出了一种使用混合整数编程问题的精确求解方法和一种基于精确求解方法的启发式方法。在本文中,我们将我们的方法与基于规则的方法进行了比较,结果证实我们的方法更胜一筹。在实验中,我们根据之前与住友电气工业株式会社的联合研究项目创建了样本数据并加以使用。此外,我们还调查了布线设计的条件,本文讨论了获得更高效布线方法的条件。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Optimization of film-type optical fiber wiring design using mixed-integer programming problem

Optimization of film-type optical fiber wiring design using mixed-integer programming problem

Optical fibers are among the most widely used tools in information communication today, and they have had an active development trajectory. Film interconnection is among the methods applied to optical fibers. However, due to its characteristics, the interconnection design must be done well so that each fiber satisfies several design requirements. In this study, we developed a mathematical model for automatic wiring design using film optical fiber interconnections. To design optical fiber routing from the top to the bottom of the film, we propose an exact solution method using a mixed-integer programming problem and a heuristic method based on the exact solution method. In this paper, we compare the results of our methods with rule-based methods and confirm that our methods are superior. For the experiments, we created sample data based on a previous joint research project with Sumitomo Electric Industries, Ltd. and used it. Additionally, we investigated conditions for wiring design, and this paper discusses conditions for obtaining more efficient wiring methods.

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来源期刊
CiteScore
1.50
自引率
11.10%
发文量
56
审稿时长
>12 weeks
期刊介绍: Japan Journal of Industrial and Applied Mathematics (JJIAM) is intended to provide an international forum for the expression of new ideas, as well as a site for the presentation of original research in various fields of the mathematical sciences. Consequently the most welcome types of articles are those which provide new insights into and methods for mathematical structures of various phenomena in the natural, social and industrial sciences, those which link real-world phenomena and mathematics through modeling and analysis, and those which impact the development of the mathematical sciences. The scope of the journal covers applied mathematical analysis, computational techniques and industrial mathematics.
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