In simulated annealing the probability of accepting a worse move is a function of both the temperature of the system and of the change in the cost function. True

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter19: Probabilistic Dynamic Programming
Section19.4: Further Examples Of Probabilistic Dynamic Programming Formulations
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### Simulated Annealing Concept Check

**Question:**

In simulated annealing, the probability of accepting a worse move is a function of both the temperature of the system and of the change in the cost function.

- [ ] True
- [ ] False

**Explanation:**

This question is quizzing your understanding of the simulated annealing optimization method. In the simulated annealing algorithm, the decision to accept or reject a worse move (one that increases the cost function) depends on two key factors:

- **Temperature of the System:** This is a controlled parameter that decreases over time. At higher temperatures, the algorithm is more likely to accept worse moves to escape local minima. As the temperature decreases, fewer worse moves are accepted.
- **Change in the Cost Function:** The difference in the cost function between the current state and the possible new state. A larger negative change (indicating a worse move) has a lower probability of acceptance.

The correct answer is "True".
Transcribed Image Text:### Simulated Annealing Concept Check **Question:** In simulated annealing, the probability of accepting a worse move is a function of both the temperature of the system and of the change in the cost function. - [ ] True - [ ] False **Explanation:** This question is quizzing your understanding of the simulated annealing optimization method. In the simulated annealing algorithm, the decision to accept or reject a worse move (one that increases the cost function) depends on two key factors: - **Temperature of the System:** This is a controlled parameter that decreases over time. At higher temperatures, the algorithm is more likely to accept worse moves to escape local minima. As the temperature decreases, fewer worse moves are accepted. - **Change in the Cost Function:** The difference in the cost function between the current state and the possible new state. A larger negative change (indicating a worse move) has a lower probability of acceptance. The correct answer is "True".
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