"A globally-optimal solution can always be found by a series of local improvements from a starting configuration" is a property used by1 pointGreedy AlgorithmDynamic ProgrammingBrute ForceBranch and Bound
Question
"A globally-optimal solution can always be found by a series of local improvements from a starting configuration" is a property used by1 pointGreedy AlgorithmDynamic ProgrammingBrute ForceBranch and Bound
Solution
The property "A globally-optimal solution can always be found by a series of local improvements from a starting configuration" is used by the Greedy Algorithm.
Here's why:
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The Greedy Algorithm makes the locally optimal choice at each stage with the hope that these local choices will lead to a global optimum. It never reconsiders its choices, which is the main difference from dynamic programming, which is exhaustive and can reconsider choices.
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This method doesn't apply to Dynamic Programming because Dynamic Programming is all about breaking down a problem into smaller subproblems and then combining the solutions of the subproblems to reach an overall solution. It doesn't necessarily follow the property of local improvements leading to a global optimum.
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Brute Force doesn't follow this property either. Brute Force tries all possible solutions until it finds the best one. It doesn't make a series of local improvements; instead, it exhaustively tries everything.
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Lastly, Branch and Bound is a method for solving combinatorial optimization problems. It involves partitioning the problem into subproblems and solving them independently. This method also doesn't follow the property of local improvements leading to a global optimum.
So, the answer is Greedy Algorithm.
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The Optimization Problem Involves
Optimization is the method of finding
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