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final 2009

# final 2009 - Name Signature Theory CEE 5290/COM S 5722/ORIE...

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1 Name: _______________ ____________ Signature: ___________________________ Theory CEE 5290/COM S 5722/ORIE 5340 Heuristic Methods for Optimization Fall 2009 Final 12/10/2009 (Show your work so the grader can read and understand what you have done. Clearly state any assumptions you make and give any equations (if any) you are using.) You may have your lecture notes, your own handwritten notes, copies of your homework and posted homework solutions. You cannot have copies of old exams, copies of the textbook or any papers. Note you are asked to write on the last page and turn it in with your exam book. 1. (10 points) Assume you want to minimize f(x) for x in a set D. The global minimum of f(x) occurs at a point z . You have an algorithm A that searches for the global minimum of f(x). Let x i be the current value of the solution in the i th iteration . So A generates a series {x i } Assume A reaches the global solution on the 1000 th iteration. However, you don’t know this x 1000 is z ( the global optimal solution), and you continue to run the algorithm forever so there is an infinite series {x i }.

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