Digital Library of Zielona Góra contains 9 272 digital objects
Object
Title: Statistical physics approach to optimization problems
Contributor:
Tadeusiewicz, Ryszard - red. ; Korbicz, Józef (1951- ) - red. ; Rutkowski, Leszek - red.
Subtitle:
Neural Networks: Theory and Some Applications
Group publication title:
Abstract:
Methods of statistical physics are applied to the Travelling Salesman Problem. The starting point is the Hopfield-type Hamiltonian and the most representative benchmark is the 318-city TSP. We find that the recent Ising model neural network implementation by Mehta and Fulop (1993) can be made fully equivalent to the Potts representation proposed by Peterson and Sodeberg (1989). ; Our calculations using the mean-field method for the Potts representation are more effective (average cost 58000, the best 55000) than the Ising model neural network implementation by Mehta and Fulop (the cost from 64552 to 61337). In terms of the tour cost a genetic-type algorithm always gives better results than the Hopfield approach. We relate distribution of energy in the population during the evolution to the quality of genetic algorithm.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
Resource Identifier:
Pages:
Source:
AMCS, volume 4, number 3 (1994) ; click here to follow the link
Language:
License CC BY 4.0:
Rights:
Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Repository > Faculties > Faculty of Computer, Electrical and Control Engineering
- Repository > Types of work > Articles
- Repository > Scientific journals and UZ publishing series > International Journal of Applied Mathematics and Computer Science (AMCS) > International Journal of Applied Mathematics and Computer Science (AMCS) (1994)
Last modified:
Jul 14, 2025
In our library since:
Jul 28, 2020
Number of object content hits:
136
All available object's versions:
https://zbc.uz.zgora.pl/repozytorium/publication/63938
Show description in RDF format:
Show description in OAI-PMH format:
| Edition name | Date |
|---|---|
| Statistical physics approach to optimization problems | Jul 14, 2025 |
Objects Similar
Kaczorek, Tadeusz (1932- ) Triggiani, Roberto- ed. Maksimov, Vyacheslav I. - ed.
Ling, Wei-Ming Rivera, Daniel E. Skliar, Mikhail - red. Ramirez, W. Fred - red.
Duever, Thomas A. Penlidis, Alexander Skliar, Mikhail - red. Ramirez, W. Fred - red.
Yin, K. Karen Li, Xing Bonde, John Richards, Carl Cholwek, Gary Skliar, Mikhail - red. Ramirez, W. Fred - red.
Klein, Eric J. Rivera, Sheyla L. Skliar, Mikhail - red. Ramirez, W. Fred - red.
Tholudur, Arun Ramirez, W. Fred Skliar, Mikhail - red. Ramirez, W. Fred - red.
Luo, Ningsu De La Sen, Manuel Rodellar, José Yu, Xinghuo - red.
Elliott, Stephen J. Logemann, Hartmut - red. Townley, Stuart - red.
