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Optimization<br />

Types of Design Objective<br />

The ratio μ m<br />

(i)<br />

/ μ m<br />

(j)<br />

can be interpreted as the relative weight of the ith objective compared with<br />

the jth objective. This is useful when you want to alter weights to get lower values of a chosen<br />

objective, for example the kth. To find an optimal point which trades off the kth objective,<br />

increase the weight on the kth objective.<br />

Related Topics<br />

Specifying Design Objectives Using .EXTRACT<br />

Specifying Design Objectives Using .OBJECTIVE<br />

Design Objectives for Multi-Point Simulation<br />

Scaling Design Objectives<br />

Goal Values Objectives<br />

This topic explains how to specify design objectives that define goal values on extracted<br />

measures. With this type of design objective the extracted measure aims to get as close as<br />

possible to a goal value r.<br />

Objectives that define goals values on measures are specified using the .OBJECTIVE command<br />

as follows:<br />

* Goal values on measures<br />

.OBJECTIVE EXTRACT_INFO LABEL=F_R<br />

+ {$MACRO|FUNCTION}<br />

+ GOAL=R<br />

+ [WEIGHT=MU_R]<br />

The optional weight μ r is a positive number, defaulting to one.<br />

Multiple Specifications<br />

If multiple objectives are qualified as GOAL=R, a weighted objective function is built using the<br />

non-linear least squares approach, that is by minimizing the squared difference between the<br />

actual value of the measure f r and the goal value r:<br />

μ r (f r − r) 2<br />

Consider the following example:<br />

* Aggregation of two Minimize statements<br />

.OBJECTIVE EXTRACT_INFO_1 LABEL=F_R_1<br />

+ {$MACRO|FUNCTION}<br />

+ GOAL=R_1 WEIGHT=MU_R_1<br />

.OBJECTIVE EXTRACT_INFO_2 LABEL=F_R_2<br />

+ {$MACRO|FUNCTION}<br />

+ GOAL=R_2 WEIGHT=MU_R_2<br />

612<br />

Eldo® User's Manual, 15.3

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