### Abstract

Original language | English |
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Place of Publication | Eindhoven |

Publisher | Technische Universiteit Eindhoven |

Publication status | Published - 1988 |

Externally published | Yes |

### Publication series

Name | Memorandum COSOR |
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### Fingerprint

### Cite this

*Global optimization and simulated annealing*. (Memorandum COSOR). Eindhoven: Technische Universiteit Eindhoven.

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*Global optimization and simulated annealing*. Memorandum COSOR, Technische Universiteit Eindhoven, Eindhoven.

**Global optimization and simulated annealing.** / Dekkers, A.; Aarts, E.H.L.

Research output: Book/Report › Book › Scientific

TY - BOOK

T1 - Global optimization and simulated annealing

AU - Dekkers, A.

AU - Aarts, E.H.L.

PY - 1988

Y1 - 1988

N2 - In this paper we are concerned with global optimization, which can be defined as the problem of finding points on a bounded subset of Rn in which some real valued functionf assumes its optimal (i.e. maximal or minimal) value. We present a stochastic approach which is based on the simulated annealing algorithm. The approach closely follows the formulation of the simulated annealing algorithm as originally given for discrete optimization problems. The mathematic formulation is extended to continuous optimization problems and we prove asymptotic convergence to the set of global optima. Furthermore, we discuss an implementation of the algorithm and compare its performance with other well known algorithms. The performance evaluation is carried out for a standard set of test functions from the literature. Keywords: global optimization, continuous variables, simulated annealing.

AB - In this paper we are concerned with global optimization, which can be defined as the problem of finding points on a bounded subset of Rn in which some real valued functionf assumes its optimal (i.e. maximal or minimal) value. We present a stochastic approach which is based on the simulated annealing algorithm. The approach closely follows the formulation of the simulated annealing algorithm as originally given for discrete optimization problems. The mathematic formulation is extended to continuous optimization problems and we prove asymptotic convergence to the set of global optima. Furthermore, we discuss an implementation of the algorithm and compare its performance with other well known algorithms. The performance evaluation is carried out for a standard set of test functions from the literature. Keywords: global optimization, continuous variables, simulated annealing.

M3 - Book

T3 - Memorandum COSOR

BT - Global optimization and simulated annealing

PB - Technische Universiteit Eindhoven

CY - Eindhoven

ER -