Abstract
Simulated Annealing (Čemy 1983, Kirkpatrick et al. 1983) is a technique which allows to find optimal or near optimal solutions to difficult optimization problems. It has been especially successful in applications to NP-complete or NP-hard problems, which occur in a variety of fields (Garey and Johnson 1979). These include mathematics with many graph problems (e.g. Brelaz 1979, Bonomi and Lutton 1987, Andresen et al. 1988), condensed matter physics, e.g. with the problem of finding the ground state of spin glasses (Ettelaie and Moore 1985), with the problem of solving the Ginzberg-Landau equations (Doria et al. 1989), engineering problems with the design of integrated circuits including the partitioning as well as the wiring problem (Vecchi and Kirkpatrick 1983, Sechen and Sangiovanni-Vincentelli 1985, Siarry et al. 1987), the design of binary sequences with low autocorrelation (Beenker et al. 1985, Bernasconi 1987, 1988), image processing (Carnevali et al. 1985), design of X-ray mirrors (Würtz and Schneider 1989), statistics with the application as a learning paradigm in neural network theory (Bernasconi 1990) and economics for instance with the travelling salesman problem (e.g. Bonomi and Lutton 1984, Kirkpatrick and Toulouse 1985, Hanf et al. 1990). Naturally, these are only some selected examples, since it is not possible here to give reference to the few hundred simulated annealing papers which appeared during the last years.
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References
Aarts, E., and J. Korts. 1989: Simulated Annealing and Boltzmann Machines. John Wiley&Sons, Chichester.
Andresen, B., K.H. Hoffmann, K. Mosegaard, J. Nulton, J.M. Pedersen, and P. Salamon. 1988: On Lumped Models for Thermodynamic Properties of Simulated Annealing Problems, J. Phys. Prance 49, 1485.
Beenker, G.F.M., T.A.C.M. Claasen, and P.W.C. Hermens. 1985: Binary Sequences with a Maximally Flat Amplitude Spectrum, Philips J. of Research 40, 289.
Bernasconi, J. 1987: Low Autocorrelation Binary Sequences: Statistical Mechanics and Configuration Space Analysis, J. Physique 40, 559.
Bernasconi, J. 1988. Optimization Problems and Statistical Mechanics. In Chaos and Complexity, Torino. World Scientific, Singapore.
Bernasconi, J. 1990. Learning and Optimization. In Proc. IX Sitges Conf. on Neural Networks. Springer LN Physics, Vol. 368. Springer Verlag, Heidelberg.
Bonomi, E., and J.L. Lutton. 1984: The N-City Travelling Salesman Problem: Statistical Mechanics and the Metropolis Algorithm, SI AM Review 26, 551.
Bonomi, E., and J.L. Lutton. 1987: Simulated Annealing Algorithm for the Minimum Weighted Perfect Euclidean Matching Problem, Operations Research.
Brelaz, D. 1979: New Methods to Color the Vertices of a Graph, ACM 22, 251.
Burke, C.J., and M. Rosenblatt. 1958: A Markovian Function of a Markov Chain, Ann. Math. Stat. 1112.
Carnevali, P., L. Coletti, and S. Paternello. 1985: Image Processing by Simulated Annealing, IBM J. Res. Develop., 29, 569.
Cerny, V. 1983: Thermodynamical Approach to the Traveling Salesman Problem: An Efficient Simulation Algorithm, JOTA 45, 41.
Christoph, M., and K.H. Hoffmann. 1990: Scaling Behavior of Optimal Simulated Annealing Schedules, Preprint
Darema, F., S. Kirkpatrick, and V.A. Norton. 1987: Parallel Algorithms for Chip Placement by Simulated Annealing, IBM J. Res. Develop., 31, 391.
Doria, M.M., J.E. Gubernatis, and D. Rainer. 1989: On solving the Ginzberg-Landau equations by Simulated Annealing, Los Alamos Preprint LA-UR-89–2997.
Dueck, G., and T. Scheuer. 1988: Threshold Accepting a General Purpose Optimization Algorithm Appearing Superior to Simulated Annealing, Research Report TR 88.10.011, IBM Scientific Center, Heidelberg.
Dueck, G. 1989: New Optimization Heuristics: The Great Deluge Algorithm and the Record-to-Record Travel, Research Report TR 89.06.011, IBM Scientific Center, Heidelberg.
Ettelaie, R., and M.A. Moore. 1985: Residual Entropy and Simulated Annealing, J. Physique Lett. 46, L-893.
Garey, M.R., and D.S. Johnson. 1979: Computers and Intractability: A Guide to the Theory of NP-Completeness. W.H. Freeman, San Francisco.
Grötschel, M. 1984: Polyedrische Kombinatorik und Schnittebenenverfahren, Preprint No. 38, Universität Augsburg
Grötschel, M., and M. Padberg. 1985: Polyhedral Theory p. 251, Polyhedral Computations p. 307, In The Travelling Salesman Problem, E.L. Lawler et al. (eds.). Wiley&Sons, Chichester.
Grotschel, M., L. Lovasz, and A. Schrijver. 1988: Geometric Algorithms and Combinatorial Optimization, Springer Verlag, Heidelberg.
Hanf, M., D. Wiirtz, K.H. Hoffmann, C. de Groot, Y. Lehareinger, and M. Anliker. 1990: Optimization with Parallel Simulated Annealing on a Transputer Farm, submitted to: Parallel Computing
Hoffmann, K.H., and P. Salamon. 1990: The Optimal Simulated Annealing Schedule for a Simple Model, J. Phys. A - Math. Gen. 23, 3511.
Hoffmann, K.H., and P. Sibani. 1988: Diffusion in Hierarchies, Phys. Rev. A 38, 4261.
Hoffmann, K.H., P. Sibani, J.M. Pedersen, and P. Salamon. 1990: Optimal Ensemble Size for Parallel Implementations of Simulated Annealing, Appi. Math. Lett. 3, 53.
Holland, H. 1987: Schnittebenenverfahren für Travelling Salesman und verwandte Probleme, PhD Thesis, Bonn.
Jakobsen, M.O., K. Mosegaard, and J.M. Pedersen. 1988. Global Model Optimization in Reflection Seismology by Simulated Annealing. In Model Optimization in Exploration Geophysics 2, ed. A. Vogel, 361. Bratmschweig/ Wiesbaden: Priedr. Vieweg and Son.
Kemeny, J.G., and J.L. Snell. 1960: Finite Markov Chains. Princeton: D. Van. Nostrand Company, Inc.
Kirkpatrick, S., C.D. Gelatt Jr., and M.P. Vecchi. 1983: Optimization by Simulated Annealing, Science 220, 671.
Kirkpatrick, S., and G. Toulouse. 1985: Configuration Space Analysis of Travelling Salesman Problems, J. de Physique 46, 1277.
Lam, J., and J. Delosme. 1987. An Adaptive Annealing Schedule. Department of Eletrical Engineering, Yale University. 8608.
Lin, S., and B.W. Kernighan. 1973: Oper. Res. 21, 498.
Metropolis, N., A. Rosenbluth, M. Rosenbluth, A. Teller, and E. Teller. 1953: Equation of State Calculations by Fast Computing Machines, J. Chem. Phys 21, 1087.
Morgenstem, I., and D. Würtz. 1987: Simulated Annealing for Spin-Glass-Like Optimization Problems, Z. Phys. B 67, 397.
Mühlenbein, M. Gorges-Schleuter, and O. Kramer. 1988: Evolution Algorithms in Combinatorial Optimization, Parallel Computing 7, 65.
Mühlenbein, H., and J. Kindermann. 1989: The Dynamics of Evolution and Learning. In Connectionism in Perspective. Pfeiffer et al. (eds.), p. 173, North Holland Publ., Amsterdam.
Padberg, M., and G. Rinaldi. 1987: Optimization of a 532-city Symmetric Traveling Salesman Problem by branch and cut, Oper. Res. lett. 6
Pedersen, J.M., K. Mosegaard, M.O. Jacobsen, and P. Salamon. 1989: Optimal Degree of Parallel Implementation in Optimization, Report HC 98–14, Oerstedt Institute, University of Copenhagen
Rees, S., and R.C. Ball. 1987: Criteria for an Optimum Simulated Annealing Schedule for Problems of the Travelling Salesman Type, J. Phys. A 20, 1239.
Rossier, Y., M. Troyen, and T.M. Liebling. 1986: Probabilistic Exchange Algorithms and Euclidian Travelling Salesman Problems, OR Spektrum 8, 151.
Ruppeiner, G., J.M. Pedersen, and P. Salamon. 1990: Ensemble Approach to Simulated Annealing, Preprint
Salamon, P., J. Nulton, J. Robinson, J. Pedersen, G. Ruppeiner, and L. Liao. 1988: Simulated Annealing with Constant Thermodynamic Speed, Comput. Phys. Commun. 49, 423.
Sechen, C., and A. Sangiovanni-Vincentelli. 1985: The TimberWolf Placement and Routing Package, IEEE Journal of Solid State Circuits 20, 510.
Siarry, P., L. Bergouzi, and G. Dreyfus. 1987: Thermodynamic Optimization of Block Placement, IEEE Trans, on Computer-Aided Design, 6, 211.
Sibani, P., J.M. Pedersen, K.H. Hoffmann, and P. Salamon. 1990: Monte Carlo Dynamics of Optimization Problems: A Scaling Description, Phys. Rev. A 42, 7080.
Vecchi, M.P., and S. Kirkpatrick. 1983: Global Wiring by Simulated Annealing, IEEE Trans, on Computer Aided Design 2, 215.
Würtz, D., and T. Schneider. 1989: Optimization of X-Ray Mirrors by Simulated Annealing, IPS Research Report No. 89-02.
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Hoffmann, K.H., Würtz, D., de Groot, C., Hanf, M. (1991). Concepts in Optimizing Simulated Annealing Schedules: An Adaptive Approach for Parallel and Vector Machines. In: Grauer, M., Pressmar, D.B. (eds) Parallel Computing and Mathematical Optimization. Lecture Notes in Economics and Mathematical Systems, vol 367. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-95665-2_10
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