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1. WHAT IS OPTIMIZATION?

1. WHAT IS OPTIMIZATION? optimization problem:Maximizing or minimizing some function relative to some set,often representing a range of choices available in a certain situation. The functionallows comparison of the different choices for determining which might be best. Common applications:Minimal cost, maximal profit, minimal error, optimal design,optimal management, variational of the subject:The understanding ofModeling issues What to look for in setting up an optimization problem?What features are advantageous or disadvantageous?What devices/tricks of formulation are available?How can problems usefully be categorized?Analysis of solutions What is meant by a solution? When do solutions exist, and when are they unique?How can solutions be recognized and characterized?

the material in a box of 12 cans, arranged in a 3×4 pattern. The cost expression takes the form c 1S 1 + c 2S 2, where S 1 is the surface area of the 12 cans and S 2 is the surface area of the box. (The coefficients c 1 and c 2 are positive.) A side requirement is that no dimension of the box can exceed a given amount D 0.

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