Characteristic Analysis and Tolerance Analysis of Nonlinear Resistive Circuits Using Integer Programming
Summary :
This paper presents efficient and easily implementable methods for the characteristic analysis and tolerance analysis of nonlinear resistive circuits using integer programming. In these methods, the problem of finding all characteristic curves or all solution sets (regions of possible operating points) is formulated as a mixed integer programming problem, and it is solved by a high-performance integer programming solver such as CPLEX. It is shown that the proposed methods can easily be implemented without making complicated programs, and that all characteristic curves or all solution sets are obtained by solving mixed integer programming problems several times. Numerical examples are given to confirm the effectiveness of the proposed methods.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E99-A No.3 pp.710-719
- Publication Date
- 2016/03/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E99.A.710
- Type of Manuscript
- PAPER
- Category
- Nonlinear Problems
Authors
Kiyotaka YAMAMURA
Chuo University
Suguru ISHIGURO
Chuo University
Hiroshi TAKI
Chuo University
Keyword
Latest Issue
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Kiyotaka YAMAMURA, Suguru ISHIGURO, Hiroshi TAKI, "Characteristic Analysis and Tolerance Analysis of Nonlinear Resistive Circuits Using Integer Programming" in IEICE TRANSACTIONS on Fundamentals,
vol. E99-A, no. 3, pp. 710-719, March 2016, doi: 10.1587/transfun.E99.A.710.
Abstract: This paper presents efficient and easily implementable methods for the characteristic analysis and tolerance analysis of nonlinear resistive circuits using integer programming. In these methods, the problem of finding all characteristic curves or all solution sets (regions of possible operating points) is formulated as a mixed integer programming problem, and it is solved by a high-performance integer programming solver such as CPLEX. It is shown that the proposed methods can easily be implemented without making complicated programs, and that all characteristic curves or all solution sets are obtained by solving mixed integer programming problems several times. Numerical examples are given to confirm the effectiveness of the proposed methods.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E99.A.710/_p
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@ARTICLE{e99-a_3_710,
author={Kiyotaka YAMAMURA, Suguru ISHIGURO, Hiroshi TAKI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Characteristic Analysis and Tolerance Analysis of Nonlinear Resistive Circuits Using Integer Programming},
year={2016},
volume={E99-A},
number={3},
pages={710-719},
abstract={This paper presents efficient and easily implementable methods for the characteristic analysis and tolerance analysis of nonlinear resistive circuits using integer programming. In these methods, the problem of finding all characteristic curves or all solution sets (regions of possible operating points) is formulated as a mixed integer programming problem, and it is solved by a high-performance integer programming solver such as CPLEX. It is shown that the proposed methods can easily be implemented without making complicated programs, and that all characteristic curves or all solution sets are obtained by solving mixed integer programming problems several times. Numerical examples are given to confirm the effectiveness of the proposed methods.},
keywords={},
doi={10.1587/transfun.E99.A.710},
ISSN={1745-1337},
month={March},}
Copy
TY - JOUR
TI - Characteristic Analysis and Tolerance Analysis of Nonlinear Resistive Circuits Using Integer Programming
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 710
EP - 719
AU - Kiyotaka YAMAMURA
AU - Suguru ISHIGURO
AU - Hiroshi TAKI
PY - 2016
DO - 10.1587/transfun.E99.A.710
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E99-A
IS - 3
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - March 2016
AB - This paper presents efficient and easily implementable methods for the characteristic analysis and tolerance analysis of nonlinear resistive circuits using integer programming. In these methods, the problem of finding all characteristic curves or all solution sets (regions of possible operating points) is formulated as a mixed integer programming problem, and it is solved by a high-performance integer programming solver such as CPLEX. It is shown that the proposed methods can easily be implemented without making complicated programs, and that all characteristic curves or all solution sets are obtained by solving mixed integer programming problems several times. Numerical examples are given to confirm the effectiveness of the proposed methods.
ER -
English
