MULTIOBJECTIVE OPTIMISATION USING
GENETIC PROGRAMMING
REFERENCES
BOOKS :
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Holland, l. H. (1975).
Adaptation in Natural & Artificial Systems: An Inroductory Analysis
with Applications to Biology, Control, and Artificial Intelligence. Ann
Arbor, MI: University of Michigan Press.
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Goldberg, D.E. (1989). Genetic
Algorithms in Search, Optimisation and Machine Learning. reading, MA: Addison-Wesley.
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Koza, John R. (1992).
Genetic Programming : On the Programming of Computers by Means of Natural
Selection. Cambridge, MA: The MIT Press
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Koza, John R. (1992). Genetic
Programming II : Automatic Discovery of Reusable Programs. Cambridge, MA:
The MIT Press
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Konig, Denes (1990).
Theory of Finite and Infinite Graphs, Birhhauser
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Grotschel, Martin (1988).
Geometric Algorithms and Combinatorial Optimisation, Springer Verlag.
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Hubert, Lawrence J. (1987).
Assignment Methods in Combinatorial Data Analysis, Marcel Dekker.
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Editor (1985). Graph
Theory with Applications to Algortihms and computer Sicnece, Wiley.
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Editor (1996). CRC Handbook
of combinatorial Designs, CRC Press, Boston
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Aho, A.V. (1974). The
Design and Analysis of Computer Algorithms, Wiley
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Bollobas (1979). Graph
Theory, Graduate Text in Mathematics, Volume.63
The books on graph theory and
combinatorics were studied to find algorithms to seek the similarities
between two treew, that is juding the extent of isomorphism between them.
PAPERS, TECHNICAL REPORTS :
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Deb, K. (1999). Evolutionary
Algorithms for Multi-Criterion Optimization in Engineering Design.Proceedings
of Evolutionary Algorithms in Engineering and Computer Science (EUROGEN-99).
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Deb, K. and Gulati, S. (1999).
Design of truss-structures for minimum weight using genetic algorithms.
KanGAL Report No. 99001. Kanpur: Kanpur GeneticAlgorithms Laboratory, Department
of Mechanical Engineering,Indian Institute of Technology Kanpur
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Deb, K. (1999). Multi-objective
evolutionary algorithms: Introducing bias among Pareto-optimal solutions.
KanGAL Report No. 99002. Kanpur: Kanpur Genetic Algorithms Laboratory,
Department of Mechanical Engineering,Indian Institute of Technology Kanpur
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Deb, K. and Beyer, H. (1999).
Self-Adaptive Genetic Algorithms with Simulated Binary Crossover. Technical
Report No. CI-61/99. Dortmund: Department of Computer Science/LS11, University
of Dortmund, Germany.
-
Deb, K. (1999). Non-linear
Goal Programming Using Multi-Objective Genetic Algorithms. Technical Report
No. CI-60/98, Dortmund: Department of Computer Science/LS11, University
of Dortmund, Germany.
-
Deb, K. (1998). Multi-objective
genetic algorithms: Problem difficulties and construction of test problems.
Technical Report No: CI-49/98. Dortmund: Department of Computer Science/LS11,
University of Dortmund, Germany.
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Srinivas, N. and Deb, K.
(1995). Multiobjective Function Optimization using Nondominated Sorting
Genetic Algorithms.Evolutionary Computation, 2(3), 221-248.
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Knowles, Joshua and Corne,
David (1999) Assessing the Performance of the Pareto Archived Evolution
Strategy
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Coello, C. A. C. (1998).
A comprehensive survey of evolutionary based multiobjective optimisation
techniques.
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Fonseca, C. M. and Fleming,
P.J. (1995). Multiobjective optimisation and multiple constraint handling
with evolutionary algorithms-Part II: Application example. IEEE transactions
on Systems, Man, and Cybernetics: Part A: systems and Humans. 38-47
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Fonseca, C. M. and Fleming,
P.J. (1993).
Genetic Algoritms for multiobjective optimisation: formulation
, discussion, and generalisation. Proceedings of the fifth International
Conference on Genetic Algorithms. 416-423
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Fonseca, Carlos M. and Fleming,
Peter J. (1994). An Overview of Evolutionary Algorithms in Multiobjective
Optimisation. Technical Report, Department of Automatoc Control and Systems
Engineering, University of Sheffield, Sheffield, U.K.
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Fonseca, Carlos M. and Fleming,
Peter J. (1995). Multiobjective Optimisation and Multiple Constraint
Handling with Evolutionary Algorithms I: A Unified Formulation. Technical
Report 564, University of Sheffield, Sheffield, UK.
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Rodriguez-Vazquez, Katya,
Fonseca, Carlos M. and Fleming, Peter J. (1997). Multiobjective Genetic
Programming : A Nonlinear System Identification Application. GP'97 Conference
207-212
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Rodriguez-Vazquez, Katya
and Fleming, Peter J. (1998). Genetic Programming for Dynamic Chaotic
Systems Modelling.
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Ruskey, Frank and Proskurowski,
Andrzej (1990). Generating Binary Trees by Transpositions, Journal
of Algorithms, 11 (1990) 68-84.
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Lucas, Joan, Baronaigien,
D.R. and Ruskey, Frank (1993). On Rotations and the Generation of Binary
Trees, Journal of Algorithms, 15 (1993), 343-366.
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Koda, Y.and Ruskey, F. (1993).
A Gray Code for the Ideals of a Forest Poset, Journal of Algorithms, 15(1993)
324-340.
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Osyczka, Andrzej (1985).
Multicriteria Optimisation for Engineering Design. Design Optimisation,
193-227(1985), Academic Press.
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Pareto Vilfredo (1896).
Cours D'Economic Politique, volume I and II. F.Rouge,Lausanne,1896
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Rosenberg, R.S. (1967).
Simulation of Genetic Population with Boichemical Properties. PhD
thesis, University of Michigan, Ann Harbor, Michigan, 1967.
WEBSITES :
Although there
are many sites on genetic programming and multiobjective evoluitonary algorithms,
the sites below are the most useful and exhaustive. Links to the other
sites may be obtained from them.