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Evolution and Optimum Seeking

Evolution and Optimum Seeking

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Chapter 1<br />

Introduction<br />

There is scarcely a modern journal, whether of engineering, economics, management,<br />

mathematics, physics or the social sciences, in which the concept optimization is missing<br />

from the subject index. If one abstracts from all specialist points of view, the recurring<br />

problem is to select a better or best (Leibniz, 1710 eventually, heintroduced the term<br />

optimal ) alternative fromamonganumber of possible states of a airs. However, if one<br />

were to follow thehypothesis of Leibniz, as presented in his Theodicee, that our world<br />

is the best of all possible worlds, one could justi ably sink into passive fatalism. There<br />

would be nothing to improve or to optimize.<br />

Biology, especially since Darwin, has replaced the static world picture of Leibniz' time<br />

by a dynamic one, that of the more or less gradual development of the species culminating<br />

in the appearance of man. Paleontology is providing an increasingly complete picture<br />

of organic evolution. So-called missing links repeatedly turn out to be not missing, but<br />

rather hitherto undiscovered stages of this process. Very much older than the recognition<br />

that man is the result (or better, intermediate state) of a meliorization process is<br />

the seldom-questioned assumption that he is a perfect end product, the \pinnacle of creation."<br />

Furthermore, long before man conceived of himself as an active participant in<br />

the development of things, he had unconsciously in uenced this evolution. There can be<br />

no doubt that his ability <strong>and</strong> e orts to make the environment meet his needs raised him<br />

above other forms of life <strong>and</strong> have enabled him, despite physical inferiority, to nd,to<br />

hold, <strong>and</strong> to extend his place in the world{so far at least. As long as mankind has existed<br />

on our planet, spaceship earth, we, together with other species have mutually in uenced<br />

<strong>and</strong> changed our environment. Has this always been done in the sense of meliorization?<br />

In 1759, the French philosopher Voltaire (1759), dissatis ed with the conditions of his<br />

age, was already taking up arms against Leibniz' philosophical optimism <strong>and</strong> calling for<br />

conscious e ort to change the state of a airs. In the same way today, whenwe optimize<br />

we nd that we are both the subject <strong>and</strong> object of the history of development. In the<br />

desire to improve an object, a process, or a system, Wilde <strong>and</strong> Beightler (1967) see an<br />

expression of the human striving for perfection. Whether such alofty goal can be attained<br />

depends on many conditions.<br />

It is not possible to optimize when there is only one way to carry out a task{then one<br />

has no alternative. If it is not even known whether the problem at h<strong>and</strong> is soluble, the<br />

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