Branch_and_Bound

# Branch_and_Bound - Branch and Bound Definitions: Similar to...

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Branch and Bound Definitions: Similar to backtracking technique BFS-like search for solutions Uses a search tree E-node Live-node Solution-node Dead-node Requirements Branching: A set of solutions, which is represented by a node, can be partitioned into mutually exclusive sets. Each subset in the partition is represented by a child of the original node. Lower bounding: An algorithm is available for calculating a lower bound on the cost of any solution in a given subset. Searching: Least-cost search (LC) Cost and approximation Each node, X, in the search tree is associated with a cost: C(X)

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C(X) = cost of reaching the current node, X (E- node), from the root + the cost of reaching an answer node from X. C(X) = g(X) + h(X) Get an approximation of C(x), C ^ (x) such that C ^ (x) C(x), and C ^ (x) = C(x) if x is a solution-node. The approximation part of C ^ (x) is h(x)=the cost of reaching a solution-node from X, not known. Least-cost search:
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## This document was uploaded on 09/03/2010.

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Branch_and_Bound - Branch and Bound Definitions: Similar to...

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