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Lecture25-3-22-2002

Lecture25-3-22-2002 - MAE 552 Heuristic Optimization...

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MAE 552 – Heuristic Optimization Lecture 25 March 22, 2002 Topic: Tabu Search
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A Simple Illustration of Tabu Search A Simple Version of the short term memory component of the Tabu Search is illustrated in this example. The problem is known as a minimum spanning tree problem The minimum spanning tree (MST) of a graph defines the cheapest subset of edges that keeps the graph in one connected component. Telephone companies are particularly interested in minimum spanning trees, because the minimum spanning tree of a set of sites defines the wiring scheme that connects the sites using as little wire as possible.
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A Simple Illustration of Tabu Search Legal Spanning Tree Illegal Spanning Tree
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A Simple Illustration of Tabu Search A solution can be represented in terms of a vector indicating whether or not an edge appears in the solution. X 1 [6] X 3 [18] X 7 [12] X 5 [0] X 4 [2] X 2 [9] X 6 [8] This solution is (0,1,0,1,1,0,1) and F=23
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A Simple Illustration of Tabu Search Additionally there are constraints imposed on this problem.
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