What question did this study set out to answer?

To review the theoretical framework, convergence properties, and practical utility of simulated annealing for optimizing cost functions with multiple local minima across finite sets.

February 1, 1993Statistical ScienceOpen Access

Simulated Annealing

View Full Paper

Ask AI

Bookmark

Authors

DBDimitris BertsimasNew School JTJohn N. TsitsiklisDecision Systems (United States)

Discussion

Member takes

Implication

Methodological review examines global optimization via simulated annealing in finite-state systems, highlighting convergence guarantees and practical performance across complex search landscapes.

Key Points

To review the theoretical framework, convergence properties, and practical utility of simulated annealing for optimizing cost functions with multiple local minima across finite sets.
Evaluated probabilistic optimization frameworks developed by Kirkpatrick et al. and Černý that mimic thermodynamic cooling processes.
Analyzed mathematical formulations restricting cost functions to finite discrete sets alongside literature extensions addressing continuous parameter domains.
Demonstrates that simulated annealing probabilistically circumvents local minima traps by permitting uphill transitions that gradually decrease via controlled cooling schedules.
Summarizes theoretical asymptotic convergence behaviors ensuring eventual stabilization at lowest-cost configurations across discrete search spaces.

Cite This Study

Bertsimas et al. (1993) studied this question.

synapsesocial.com/papers/69deeba27702a00918b0d257 https://doi.org/10.1214/ss/1177011077

View Full Paper

Ask AI

Bookmark

Implication

Methodological review examines global optimization via simulated annealing in finite-state systems, highlighting convergence guarantees and practical performance across complex search landscapes.

Simulated Annealing

Discussion

Member takes

Implication

Key Points

Cite This Study

Simulated Annealing

Discussion

Member takes

Implication

Key Points

Cite This Study

Also Consider

Also Consider