Design centering and polyhedral region approximation via parallel-cuts ellipsoidal technique

被引：3

作者：

Hassan, ASO ^{[1
]}

Abdel-Malek, HL ^{[1
]}

Rabie, AA ^{[1
]}

机构：

[1] Cairo Univ, Fac Engn, Dept Engn Math & Phys, Giza 12211, Egypt

来源：

ENGINEERING OPTIMIZATION | 2004年 / 36卷 / 01期

关键词：

design centering; yield optimization; ellipsoidal technique; feasible region approximation;

D O I：

10.1080/03052150310001634880

中图分类号：

T [工业技术];

学科分类号：

08 [工学];

摘要：

A new technique for constructing a polyhedral approximation of the feasible region and finding the associated design center through a parallel-cuts ellipsoidal technique is presented. The linearizations of the feasible region boundary required to implement the parallel-cuts ellipsoidal technique are saved from one iteration to another in a non-redundant form. These linearizations are used in the construction of the parallel cuts as well as in the generation of an exterior polyhedral approximation of the feasible region at no additional cost. Numerical and practical examples are given to demonstrate the effectiveness of the new technique.

引用

页码：37 / 49

页数：13

共 23 条

[1]

A boundary gradient search technique and its applications in design centering [J].

Abdel-Malek, HL ;

Hassan, AKSO ;

Heaba, MH .

IEEE TRANSACTIONS ON COMPUTER-AIDED DESIGN OF INTEGRATED CIRCUITS AND SYSTEMS, 1999, 18 (11) :1654-1661

[2]

AbdelMalek HL, 1997, INT J MICROWAVE MILL, V7, P117, DOI 10.1002/(SICI)1522-6301(199701)7:1<117::AID-MMCE8>3.0.CO

[3]

2-S

[4]

YIELD ESTIMATION FOR EFFICIENT DESIGN CENTERING ASSUMING ARBITRARY STATISTICAL DISTRIBUTIONS [J].

ABDELMALEK, HL ;

BANDLER, JW .

INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS, 1978, 6 (03) :289-303

[5]

YIELD OPTIMIZATION FOR ARBITRARY STATISTICAL DISTRIBUTIONS .1. THEORY [J].

ABDELMALEK, HL ;

BANDLER, JW .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1980, 27 (04) :245-253

[6]

THE ELLIPSOIDAL TECHNIQUE FOR DESIGN CENTERING AND REGION APPROXIMATION [J].

ABDELMALEK, HL ;

HASSAN, AKSO .

IEEE TRANSACTIONS ON COMPUTER-AIDED DESIGN OF INTEGRATED CIRCUITS AND SYSTEMS, 1991, 10 (08) :1006-1014

[7]

[Anonymous], 1965, Mathematics of computation, DOI DOI 10.1090/S0025-5718-1965-0198670-6

[8]

CIRCUIT ANALYSIS AND OPTIMIZATION DRIVEN BY WORST-CASE DISTANCES [J].

ANTREICH, KJ ;

GRAEB, HE ;

WIESER, CU .

IEEE TRANSACTIONS ON COMPUTER-AIDED DESIGN OF INTEGRATED CIRCUITS AND SYSTEMS, 1994, 13 (01) :57-71

[9]

COMPUTATIONALLY EFFICIENT YIELD ESTIMATION PROCEDURES BASED ON SIMPLICIAL APPROXIMATION [J].

DIRECTOR, SW ;

HACHTEL, GD ;

VIDIGAL, LM .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1978, 25 (03) :121-130

[10]

Gray PR., 1984, ANAL DESIGN ANALOG I

← 1 2 3 →