Stochastic Optimization - · PDF fileAnt Colony Optimization Knapsack problem: Which boxes...
Transcript of Stochastic Optimization - · PDF fileAnt Colony Optimization Knapsack problem: Which boxes...
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Stochastic Optimization
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Simmulated Annealing
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Greedy algorithms can get stuck in local optima, and depend on initial conditions :(
Simmulated Annealing
Energy
- Initial configuration i with
- Choose random (nearby) state j with
- Accept change with probability
Simmulated Annealing procedure:
- Gradually decrease T according to a “cooling schedule”
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Simmulated Annealing
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Quantum Annealing
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Swarm intelligence
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Swarm intelligence
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Ant Colony Optimization
Swarm intelligence
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Ant Colony Optimization
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Ant Colony Optimization
TSP: Which is the shortest path that visits each city exactly once?
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Ant Colony Optimization
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Ant Colony Optimization
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Ant Colony Optimization
Knapsack problem: Which boxes should be chosen to maximize the amount of money while still keeping the overall weight under or equal to 15 kg?
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Ant Colony Optimization
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Which boxes should be chosen to maximize the amount of money while still keeping the overall weight under or equal to 15 kg?
Knapsack problem: Travelling salesman problem:
Which is the shortest path that visits each city exactly once?