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Multiple criterion optimization with statistical consideration

M Lightner
TLDR
A new method for estimating yield and the gradient of yield is developed based upon a combination of the Simplicial Approximation technique of Director and Hachtel and the yield estimation procedure of Bandler and Abdel-Malek.
Abstract
A number of recent papers have described circuit optimization methods y in which maximizing yield was the sole design criterion. However, in actual practice there are many competing design criterion such as minimizing power, y maximizing speed, area, etc., as well as maximizing yield. In this paper we use the techniques of Multiple Criterion Optimization (MCO) to provide a framework within which to consider all of these objectives simultaneously. Towards this end we develop a new method for estimating yield and the gradient of yield. This method is based upon a combination of the Simplicial Approximation technique of Director and Hachtel and the yield estimation procedure of Bandler and Abdel-Malek. The ideas of MCO and the new yield estimation procedure are applied to the design of a two-input MOSFET NAND gate.

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Book

Decisions with Multiple Objectives: Preferences and Value Trade-Offs

TL;DR: In this article, a confused decision maker, who wishes to make a reasonable and responsible choice among alternatives, can systematically probe his true feelings in order to make those critically important, vexing trade-offs between incommensurable objectives.
Journal ArticleDOI

The Monte Carlo method.

TL;DR: In this paper, the authors present a statistical approach to the study of integro-differential equations that occur in various branches of the natural sciences, such as biology and chemistry.
Book

Modern probability theory and its applications

TL;DR: Probability Theory as the study of Mathematical Models of Random Phenomena as mentioned in this paper is a generalization of probability theory for the study and analysis of statistical models of random variables.
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