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2011 | OriginalPaper | Buchkapitel

19. Simulated Annealing

verfasst von : Marko Čepin

Erschienen in: Assessment of Power System Reliability

Verlag: Springer London

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Abstract

Simulated annealing is a method suitable for solving optimization problems of a large scale specially ones where a desired global extremum is hidden among many local extrema. The idea of the method is an analogy with thermodynamics, specifically with the way that liquids freeze and crystallize or metals cool and anneal. For slowly cooled systems, nature is able to find the minimum energy state. If a liquid metal is cooled quickly, it does not reach this state, but rather ends up in a polycrystalline or amorphous state having higher energy. So slow cooling is essential for ensuring that a low-energy state is achieved. Simulated annealing randomizes the iterative improvement procedure and also allows occasional uphill moves in attempt to reduce the probability of being stuck at local optimal solution. These uphill moves are controlled probabilistically by the temperature, and become less and less likely toward the end of the process, as the value of temperature decreases.

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Literatur
1.
Zurück zum Zitat Lee KY, El-Sharkawi MA (2008) Modern heuristic optimization techniques: theory and applications to power systems. Wiley, New YorkCrossRef Lee KY, El-Sharkawi MA (2008) Modern heuristic optimization techniques: theory and applications to power systems. Wiley, New YorkCrossRef
2.
Zurück zum Zitat Press WH, Flannery B, Teukolsky S, Vettering W (1986) Numerical recipes: the art of scientific computing. Cambridge University Press, Cambridge, UK Press WH, Flannery B, Teukolsky S, Vettering W (1986) Numerical recipes: the art of scientific computing. Cambridge University Press, Cambridge, UK
3.
Zurück zum Zitat Metropolis N, Rosenbluth AW, Rosenbluth MN et al (1953) Equation of state calculations by fast computing machines. J Chem Phys 21(6):1087?1092CrossRef Metropolis N, Rosenbluth AW, Rosenbluth MN et al (1953) Equation of state calculations by fast computing machines. J Chem Phys 21(6):1087?1092CrossRef
5.
Zurück zum Zitat Bertsimas D, Tsitsiklis J (1993) Simulated annealing. Stat Sci 8(1):10?15CrossRef Bertsimas D, Tsitsiklis J (1993) Simulated annealing. Stat Sci 8(1):10?15CrossRef
6.
Zurück zum Zitat Čepin M (2002) Optimization of safety equipment outages improves safety. Rel Eng Syst Saf 77:71?80CrossRef Čepin M (2002) Optimization of safety equipment outages improves safety. Rel Eng Syst Saf 77:71?80CrossRef
7.
Zurück zum Zitat Mohanta DK, Sadhu PK, Chakrabarti R (2007) Deterministic and stochastic approach for safety and reliability optimization of captive power plant maintenance scheduling using Ga/Sa-based hybrid techniques: a comparison of results. Rel Eng Syst Saf 92:187?199CrossRef Mohanta DK, Sadhu PK, Chakrabarti R (2007) Deterministic and stochastic approach for safety and reliability optimization of captive power plant maintenance scheduling using Ga/Sa-based hybrid techniques: a comparison of results. Rel Eng Syst Saf 92:187?199CrossRef
8.
Zurück zum Zitat Soliman SA, Mantaway AH, El-Hawary ME (2004) Simulated annealing optimization algorithm for power systems quality analysis. Electric Power Energy Syst 26:31?36CrossRef Soliman SA, Mantaway AH, El-Hawary ME (2004) Simulated annealing optimization algorithm for power systems quality analysis. Electric Power Energy Syst 26:31?36CrossRef
9.
Zurück zum Zitat Volkanovski A, Čepin M, Mavko B (2009) Nuclear power plant maintenance optimization. In: Briš R, Guedes Soares C, Martorell S (eds) Reliability, risk and safety: theory and applications. Taylor & Francis, London Volkanovski A, Čepin M, Mavko B (2009) Nuclear power plant maintenance optimization. In: Briš R, Guedes Soares C, Martorell S (eds) Reliability, risk and safety: theory and applications. Taylor & Francis, London
10.
Zurück zum Zitat Wong KP (1995) Solving power system optimization problems using simulated annealing. Eng Appl Artif Intel 8(6):665?670CrossRef Wong KP (1995) Solving power system optimization problems using simulated annealing. Eng Appl Artif Intel 8(6):665?670CrossRef
11.
Zurück zum Zitat Habiballah IO, Irving MR (1995) Multipartitioning of power system state estimation networks using simulated annealing. Electr Pow Syst Res 34:117?120CrossRef Habiballah IO, Irving MR (1995) Multipartitioning of power system state estimation networks using simulated annealing. Electr Pow Syst Res 34:117?120CrossRef
12.
Zurück zum Zitat Chen TY, Su JJ (2002) Efficiency improvement of simulated annealing in optimal structural designs. Adv Eng Software 33:675?680MathSciNetCrossRefMATH Chen TY, Su JJ (2002) Efficiency improvement of simulated annealing in optimal structural designs. Adv Eng Software 33:675?680MathSciNetCrossRefMATH
13.
Zurück zum Zitat Wong SYW (1998) An enhanced simulated annealing approach to unit commitment. Electr Pow Energy Syst 20(5):359?368CrossRef Wong SYW (1998) An enhanced simulated annealing approach to unit commitment. Electr Pow Energy Syst 20(5):359?368CrossRef
14.
Zurück zum Zitat Basu M (2005) A simulated annealing-based goal-attainment method for economic emission load dispatch of fixed head hydrothermal power systems. Electr Pow Energy Syst 27:147?153CrossRef Basu M (2005) A simulated annealing-based goal-attainment method for economic emission load dispatch of fixed head hydrothermal power systems. Electr Pow Energy Syst 27:147?153CrossRef
15.
Zurück zum Zitat Zhu J, Bilbro G, Chow MY (1999) Phase balancing using simulated annealing. IEEE Trans Power Syst 14(4):1508?1513CrossRef Zhu J, Bilbro G, Chow MY (1999) Phase balancing using simulated annealing. IEEE Trans Power Syst 14(4):1508?1513CrossRef
16.
Zurück zum Zitat Rastrigin LA (1974) Systems of extremal control. Nauka, Moscow Rastrigin LA (1974) Systems of extremal control. Nauka, Moscow
Metadaten
Titel
Simulated Annealing
verfasst von
Marko Čepin
Copyright-Jahr
2011
Verlag
Springer London
DOI
https://doi.org/10.1007/978-0-85729-688-7_19