# new session-19 - Design and Analysis of Algorithms BRANCH...

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Design and Analysis of Algorithms

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BRANCH AND BOUND -- THE METHOD The design technique known as branch and bound is very similar to backtracking (seen in unit 4) in that it searches a tree model of the solution space and is applicable to a wide variety of discrete combinatorial problems. Each node in the combinatorial tree generated in the last Unit defines a problem state . All paths from the root to other nodes define the state space of the problem.
BRANCH AND BOUND -- THE METHOD Solution states are those problem states 's' for which the path from the root to 's' defines a tuple in the solution space. The leaf nodes in the combinatorial tree are the solution states. Answer states are those solution states 's' for which the path from the root to 's' defines a tuple that is a member of the set of solutions (i.e.,it satisfies the implicit constraints) of the problem. The tree organization of the solution space is referred to as the state space tree .

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A node which has been generated and all of whose children have
• Winter '12
• praveen
• Algorithms, Analysis of algorithms, Combinatorial optimization, Cutting stock problem, Sam Loyd

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