Finding all solutions of piecewise-linear resistive circuits using the dual simplex method

被引：0

作者：

Yamamura, K ^{[1
]}

Tanak, S ^{[1
]}

机构：

[1] Chuo Univ, Tokyo 1128551, Japan

来源：

ISCAS 2000: IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS - PROCEEDINGS, VOL IV: EMERGING TECHNOLOGIES FOR THE 21ST CENTURY | 2000年

关键词：

D O I：

暂无

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

An efficient algorithm is proposed for finding all solutions of piecewise-linear (PWL) resistive circuits using linear programming (LP). This algorithm is based on a simple test (termed the LP test) for nonexistence of a solution to a system of PWL equations in a given region. In the LP test, the system of PWL equations is transformed into an LP problem, to which the simplex method is applied. Such an LP problem is obtained by surrounding the PWL functions by rectangles. In this paper, we introduce the dual simplex method to the LP test, which makes the average number of pivotings per region much smaller (less than one, for example) and makes the algorithm very efficient.

引用

页码：165 / 168

页数：4

共 50 条

[41] A SIMPLE ALGORITHM FOR FINDING ALL SOLUTIONS OF PIECEWISE-LINEAR NETWORKS [J].

HUANG, Q ;

LIU, RW .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1989, 36 (04) :600-609

[42] Finding all solutions of separable systems of piecewise-linear equations using integer programming [J].

Yamamura, Kiyotaka ;

Tamura, Naoya .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2012, 236 (11) :2844-2852

[43] A dual simplex algorithm for piecewise-linear programming [J].

Guder, F ;

Nourie, FJ .

JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY, 1996, 47 (04) :583-590

[44] Complete Analysis of Piecewise-Linear Resistive Circuits Using Integer Programming [J].

Yamamura, Kiyotaka ;

Takahara, Hiroki .

2017 EUROPEAN CONFERENCE ON CIRCUIT THEORY AND DESIGN (ECCTD), 2017,

[45] FINDING NORMAL SOLUTIONS IN PIECEWISE-LINEAR PROGRAMMING [J].

KIWIEL, KC .

APPLIED MATHEMATICS AND OPTIMIZATION, 1995, 32 (03) :235-254

[46] MULTIPLE SOLUTIONS OF PIECEWISE-LINEAR RESISTIVE-NETWORKS [J].

LEE, SM ;

CHAO, KS .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1983, 30 (02) :84-89

[47] MULTIPLE SOLUTIONS OF PIECEWISE-LINEAR RESISTIVE NETWORKS. [J].

Lee, Shuch-Mien ;

Chao, Kwong-Shu .

IEEE transactions on circuits and systems, 1983, CAS-30 (02) :84-89

[48] Finding all solutions of nonlinear equations using the dual simplex method [J].

Yamamura, K ;

Fujioka, T .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2003, 152 (1-2) :587-595

[49] Capturing all branches of any one-port characteristic in piecewise-linear resistive circuits [J].

Pastore, S ;

Premoli, A .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 1996, 43 (01) :26-33

[50] PIECEWISE-LINEAR THEORY AND COMPUTATION OF SOLUTIONS OF HOMEOMORPHIC RESISTIVE NETWORKS [J].

CHIEN, MJ .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1977, 24 (03) :118-127

← 1 2 3 4 5 →