
Local References on the
Mean Field Method for
Combinatorial Optimization

Complex
Systems Group
Department of Theoretical Physics
Lund University
Sweden 

General papers on the mean field method
Traveling Salesman problem
Scheduling problems
Communication routing
Knapsack problems
Set Covering
Back to the Mean Field Solver
home page

C. Peterson and B. Söderberg
Neural Optimization
LU TP 9816 (to appear in The Handbook of Brain Research and Neural
Networks, (2nd edition), M.A. Arbib (ed.), Bradford Books/The MIT Press)
[ ps.gz
]

C. Peterson
Combinatorial Optimization with Feedback Artificial Neural Networks
Proceedings of ICANN '95 International Conference on Artificial
Neural Networks, October 1995, Paris, France , eds. F. FogelmanSoulie
and P. Gallinari, EC2 & Cie (Paris 1995)
[ abs,
ps.gz
]

B. Söderberg
Optimization with Potts Neural Networks
Complexity in Physics and Technology, eds. M.S. Garrido and
R. Vilela Mendes, World Scientific, Singapore, 1992 181190
[ absps.gz
]

L. Gislén, C. Peterson and B. Söderberg
Rotor Neurons  Formalism and Dynamics
Neural Computation 4, 737745 (1992)
[ abs,
ps.gz
]

C. Peterson and B. Söderberg
A New Method for Mapping Optimization Problems onto Neural Networks
International Journal of Neural Systems 1, 322 (1989)
[ abs,
ps.gz
]

E. Hartman and C. Peterson
Explorations of the Mean Field Theory Learning Algorithm
Neural Networks 2, 475494 (1989)
[ abs
]

Carsten Peterson
Parallel Distributed Approaches to Combinatorial Optimization 
Benchmark Studies on Traveling Salesman Problem
Neural Computation 2, 261269 (1990)
[ abs,
ps.gz
] ]

M. Lagerholm, C. Peterson and B.Söderberg
Statistical Properties of Unrestricted Crew Scheduling Problems
LU TP 9711 (submitted to European Journal of Operational Research)
[ abs,
ps.gz
]

M. Lagerholm, C. Peterson and B.Söderberg
Airline Crew Scheduling Using Potts Mean Field Techniques
LU TP 9710 (submitted to European Journal of Operational Research)
[ abs,
ps.gz
]

M. Lagerholm, C. Peterson and B. Söderberg
Airline Crew Scheduling with Potts Neurons
Neural Computation 9, 15891599 (1997)
[ abs,
ps.gz
]

L. Gislén, C. Peterson and B. Söderberg
Complex Scheduling with Potts Neural Networks
Neural Computation 4, 805831 (1992)
[ abs,
ps.gz
]

L. Gislén, B. Söderberg and C. Peterson
Teachers and Classes with Neural Networks
International Journal of Neural Systems 1, 167176 (1989)
[ abs,
ps.gz
]

J. Häkkinen, M. Lagerholm, C. Peterson and B.
Söderberg
Local Routing Algorithms Based on Potts Neural Networks
LU TP 985 (submitted to IEEE Transactions on Neural Networks)
[ abs,
ps.gz
]

J. Häkkinen, M. Lagerholm, C. Peterson and B. Söderberg
A Potts Neuron Approach to Communication Routing
Neural Computation 10, 15871599 (1998)
[ abs,
ps.gz
]

M. Ohlsson and H. Pi
A study of the Mean Field Approach to Knapsack Problems
Neural Networks 10, 263271 (1997)
[ abs,
ps.gz
]

M. Ohlsson, C. Peterson and B. Söderberg
Neural Networks for Optimization Problems with Inequality Constrains
 the Knapsack Problem
Neural Computation 5, 331339 (1993)
[ abs,
ps.gz
]

Mattias Ohlsson, Carsten Peterson and Bo Söderberg
An Efficient Mean Field Approach to the Set Covering Problem
LU TP 9829 (submitted to European Journal of Operations Research)
[ abs,
ps.gz
]
Last updated: Feb 11 1998
Mail comments and queries to mattias@thep.lu.se