Publications

Trafalis, T.B. and S. Kasap, "Artificial Neural Networks in Optimization and Applications", submitted to Handbook of Applied Optimization, eds. P.M.Pardalos and M.G.C. Resende, Cambridge University Press, in press, 2000.

Trafalis, T.B. T. Mishina, and B.L. Foote, "An Interior Point Multiobjective Programming Approach for Production Planning with Uncertain Information", submitted to Computers and Industrial Engineering, special issue in Multicriteria Decision Making in Industrial Engineering, in press, 2000.

Trafalis, T.B. and R. Al-Kahtani, "An Interactive Analytic Center Trade Off Cutting Plane Algorithm for Multiobjective Linear Programming", Computer and Industrial Engineering, special issue in Multicriteria Decision Making in Industrial Engineering, in press, 2000. 

Trafalis, T.B., "Artificial Neural Networks Applied to Financial Forecasting", Smart Engineering System Design: Neural Networks, Fuzzy Logic, Evolutionary Programming, Data Mining, and Complex Systems, Dagli, Buczak, Ghosh, Embrechts and Ersoy, Eds., ASME Press, 1049-1054, 1999.

Trafalis, T.B., A White and C. Jeyabalan, "Statistical Analysis of the Base Data from the WSR-88D Weather Radar and Description of Mesocyclone Features Using Neural and Radial Basis Function Network", Smart Engineering System Design: Neural Networks, Fuzzy logic, Evolutionary Programming, Data Mining, and Complex Systems, Dagli, Buczak, Ghosh, Embrechts and Ersoy, Eds., ASME Press, 293-298, 1999.

Trafalis, T.B. and M. Milatovic, "Radial Basis Function Networks for Approximation of Linear and Nonlinear Multiple Criteria Decision Maker's Utility Functions", International Journal of Industrial Engineering-Applications and Practice, Industrial Engineering Applications and Practice: Users' Encyclopedia, 1999.

Theodore B. Trafalis and S. Kasap, "Neural Networks Approaches for Combinatorial Optimization Problems", Handbook of Combinatorial Optimization, D.-Z. Du and P.M. Pardalos (Eds.), Kluwer Academic Publishers, 1999.

Trafalis, T.B. and I. Al-Harkan, "A Hybrid Scatter Genetic Tabu Approach for Continuous Global Optimization", Combinatorial and Global Optimization, P.M. Pardalos, A. Migdalas and R. Burkard, Editors, World Scientific Publishing Co., forthcoming.

Trafalis, T.B. and S. Kasap, "Neural Networks for Combinatorial Optimization", invited paper for the Encyclopedia of Optimization, Kluwer Academic Publishers, in press.

Trafalis, T.B., and Suat Kasap, "Differential-Algebraic Equations in Primal-Dual Interior Point Methods for Linear Programming Problems", Smart Engineering System Design: Neural Networks, Fuzzy Logic and Evolutionary Programming, (C.H. Dagli, Akay, Buczak, Ersoy, and Fernandez), 323-328, 1998.

Trafalis, T.B. and Milan Milatovic, "Radial Basis Function Networks for Effective Approximation of Multiple Criteria Decision Maker’s Utility Functions", Smart Engineering System Design: Neural Networks, Fuzzy Logic and Evolutionary Programming, (C.H. Dagli, Akay, Eersay, Fernandez and Smith, eds.), 953-958, 1997.

Trafalis, T.B., "Genetic Algorithms in Neural Network Training and Applications to Breast Cancer Research", Smart Engineering System Design: Neural Networks, Fuzzy Logic and Evolutionary Programming, (C.H. Dagli, Akay, Ersay, Fernandez and Smith, eds.), 409-414, 1997.

Trafalis, T.B., N.P. Couellan, Po-i Li, Greg Stumpf, and A. White, "An Affine Scaling Neural Network Training Algorithm for Prediction of Tornados", Smart Engineering System Design: Neural Networks, Fuzzy Logic and Evolutionary Programming, (C.H. Dagli, Akay, Eersay, Fernandez and Smith, eds.), 213-218, 1997.

Trafalis, T.B. and T.A. Tutunji, "Barrier and Stochastic Barrier Newton-Type Methods for Training Feedforward Neural Networks with Bounded Weights," International Journal of Smart Engineering System Design, 1: 241-254, 1998.

Trafalis, T.B. and T. Mishina, "A Circumscribed Ellipsoid Method for Multiobjective Programming and Applications to Financial Planning", New Operational Approaches for Financial Modelling, (C. Zopounidis, ed.) Physica-Verlag, Heidelberg, 377-388, 1997.

Trafalis, T.B. and T.A. Tutunji, "Deterministic and Stochastic Logarithmic Barrier Function Methods for Neural Network Training", Parallel Computing in Optimization, (A. Migdalas, P.M. Pardalos and S. Storoy, Eds) Kluwer Academic Publishers, Chapter 13, 529-574, 1997.

Trafalis, T.B., N.P. Couellan and T.A. Tutunji, "Interior Point Methods for Supervised Training of Artificial Neural Networks with Bounded Weights", Network Optimization, edited by P.M. Pardalos, D. Hearn and W. Hager, Lecture Notes in Economics and Mathematical Systems, 450 Springer Verlag, 441-470, 1997.

Trafalis, T.B. and N.P. Couellan, "Neural Network Training via Quadratic Programming", Interfaces in Computer Science and Operations Research: Advances in Metaheuristics, Optimization and Stochastic Modelling, (R.S. Barr, R.V. Helgason and J.L. Kennington, eds), Kluwer Academic Publishers, 123-139, 1996.

Trafalis, T. B. and T. A. Tutunji, "Training of Artifical Neural Networks via a Barrier Function Method with L₁ Norm", Intelligent Engineering Systems Through Artificial Neural Networks, ASME Press, 6, 85-90, November 1996.

Trafalis, T. B. and S. Kasap, "An Affine Scaling Scatter Search Approach for Continuous Global Optimization Problems", Intelligent Engineering Systems Through Artifical Neural Networks, (C. H. Dagli, Akay, Chen, Fernandez and J. Ghosh, Eds) ASME Press, 6, November 1996, 1027-1032.

Trafalis, T. B., J. H. Zhu and M. M. Zaman, "Prediction of Shear Stress-Strain Behavior of Soil with Recurrent Neural Network", Intelligent Engineering Systems Through Artificial Neural Networks, (C. H. Dagli, Akay, Chen, Fernandez and J. Ghosh, Eds) ASME Press, 6, 809-814, November 1996.

Trafalis, T.B. and N.P. Couellan, "Neural Network Training via an Affine Scaling Quadratic Optimization Algorithm", Neural Networks, 9:3, 475-481, 1996.

Trafalis, T.B. and T. Tutunji, "A Stochastic Logarithmic Barrier Function Method for Neural Network Training with Bounded Weights", Intelligent Engineering Systems Through Artificial Neural Networks, edited by C.H. Dagli, Akay, Chen, Fernández and Ghosh, ASME Press, 5: 167-172, 1995. (nominated for best paper award)

Trafalis, T.B. and R. V. Parekh, "Primal-Dual Training of Artificial Neural Networks with an L_{_} Error", Intelligent Engineering Systems Through Artificial Neural Networks, eds. C.H. Dagli, Akay, Chen, Fernández and Ghosh, ASME Press, 5:233-238, 1995.

Trafalis, T.B. and T. Tutunji, "A Quasi-Newton Barrier Function Algorithm for Artificial Neural Network Training with Bounded Weights", Intelligent Engineering Systems through Artificial Neural Networks, eds. C.H. Dagli, Kumara, B.R. Fernández and J. Ghosh, ASME Press, 4, 161-166, 1994.

Trafalis, T.B. and D. B. Sieger, "Training of Multi-layer Feedforward ANN by a Logarithmic Barrier Function Adaptation Scheme", Intelligent Engineering Systems through Artificial Neural Networks, eds. C.H. Dagli, Laura I. Burke, Benita R. Fernández, and J. Ghosh, ASME Press, 3, 167-173, 1993.

Kaiser, M.J., T.L. Morin, and T.B. Trafalis, "Centers and Invariant Points of Convex Bodies," Applied Geometry and Discrete Mathematics: The Victor Klee Festschrift, eds. P. Gritzmann and B. Sturmfels, AMS DIMACS Series in Discrete Mathematics and Theoretical Computer Science, American Mathematical Society, Providence, RI, 367-385, 1991.

Abhyankar, S.S., T.L. Morin, and T.B. Trafalis, "Efficient Faces of Polytopes: Interior Point Algorithms, Parameterization of Algebraic Varieties and Multiple Objective Optimization," Contemporary Mathematics, AMS, 114, Mathematical Developments Arising from Linear Programming, eds. J.C. Lagarias and M.J. Todd, 319-341, 1990.

Trafalis, T.B., (1999), "PRimal-Dual Optimization Methods in Neural Networks and Support Vector Machines Training", Tutorial Paper in Support Vector Machines and Applications, ACAI'99, Chania, Crete, Greece.

Trafalis, T.B. (1999), "A Hybrid Genetic Incremental Primal-Dual Algorithm for Design and Training of Multilayer Neural Networks", Proceedings of 5th International Conference of the Decision Sciences Institute, July 1999, Athens, Greece.

Trafalis, T.B., C. Jeyabalan, and A White (1998), "Statistical Analysis of Base Data from the WSR-88D Weather Radar and Description of Mesocyclone Features Using Neural Networks", 14th Conference on probability and Statistics in the Atmosphere Sciences, 11-16, January, 1998.

Trafalis, T.B. and T. Mishina (1998). "Production Planning Through a Scenario Analysis", Proceedings of the International Symposium on Manufacturing Strategy '98 (ISM '98), 260-265.

Trafalis, T.B. and Kasap S. (1998). "Affine Scaling Genetic ScatterTabu (ASGST) Search: A Hybrid of Modern Heuristics and Interior Point Methods", Proceedings of the Second International Symposium on Intelligient Manufacturing Systems, August 6-7, 1998, Sakarya, Turkey.

Chidambaram Jeyabalan, A. White and T.B. Trafalis, " Statistical Analysis of Base Data from the WSR-88D Weather Radar and Description of Mesocyclone Features Using Neural Networks", 14th Conference on Probability and Statistics in the Atmospheric Sciences, J93-J96, 1998.

Trafalis, T.B. and Milan Milatovic, "Radial Basis Function Netwroks for effective Approximation of Multiple Criteria Decision Maker's Utility Functions", 47th Meeting of the European Working Group, Thessaloniki, 26-27, March 1998.

Trafalis, T.B. and N. Couellan,"An Incremental Nonlinear Primal-Dual Algorithm and Applications to Artificial Neural Networks Training", Proceedings of LSS’98, preprints, Volume II, 1053-1059.

Trafalis, T.B., N.P. Couellan and S.C. Bertrand, "Training of Supervised Neural Networks via a Nonlinear Primal-Dual Interior Point Method", Proceedings of ICNN/IEEE ‘97, June 1997.

Trafalis, T.B., Z. Yu and T. Sparrow, "A Fast Algorithm for Security Constrained Ecnomic Dispatch in Case of Energy Exchange and Wheeling", Proceedings of the 59th American Power Conference, 59-1, 371-376, 1997.

Trafalis, T.B., N.P. Couellan and S.C. Bertrand, "Training of Supervised Neural Networks via a Primal-Dual Interior Point Method for Nonlinear Programming", Proceedings of MASECT ‘96, 21-25, 1996.

Trafalis, T.B. and I. Al-Harkan, "A Continuous Scatter Search Approach for Global Optimization", Proceedings of APMOD'95, Applied Mathematical Programming and Modelling, 91-94, 1995.

Trafalis, T.B., invited, "Interior Point Algorithms in Supervised Neural Networks", Proceedings of APMOD'95, Applied Mathematical Programming and Modelling, 88-90, 1995.

Trafalis, T.B. and N.P. Couellan, "Neural Network Training Via a Trust Region Algorithm for Quadratic Programming", Proceedings of the Ninth Mid-America Symposium on Emerging Technologies '95, 23-28, 1995.

Trafalis T.B. and N.P. Couellan, "Neural Network Training Via A Primal-Dual Interior Point Method for Nonlinear Programming", Proceedings of World Congress of Neural Networks ‘96, San Diego, CA, September 1996.

Trafalis, T.B. and Z. Yu, "A New Optimization Method for Minimizing the Cost of Electric Power Wheeling in Multiple Control Areas", Proceedings of the 56th American Power Conference, Illinois Institute of Technology, 56-I, 17-22, 1994.

Trafalis, T.B. and N.P. Couellan, "Neural Network Training via A Primal-Dual Interior Point Method for Linear Programming", Proceedings of the World Congress on Neural Networks, INNS Press, II, 798-803, 1994.

Trafalis, T.B., Kapur, K.C. and B.R. Cho, "Quality Evaluation by Quadratic Loss Function", Proceedings of Quality Leadership Symposium, April 19-20, 1994.

Raman, S., B. Subramanian, and T. Trafalis, "Possible Re-evaluation of Friction and Wear in Machining Using Fractals", ASME Energy Sources Technology Conference and Exhibition, Proceedings of the Tribology Symposium, (H. Masudi, Ed), 91-101, ASME PD-61, 1994.

Badiru, A.B., Le Gruenwald, and T.B. Trafalis, "A New Search Technique for Artificial Intelligence Systems", Proceedings of the 6th Oklahoma Symposium on Artificial Intelligence, 91-96,1992.

Extended Abstracts

Trafalis, T.B., "An Incremeental Primal-Dual Method for Nonlinear Programming Problems with Special Decomposable Structure" extended abstracts, Proceedings of APMOD’98, Limassal, Cyprus, March 11-13, 1998.

Trafalis, T.B., "Radial Basis Function Network Training via a Primal-Dual Interior Point Method for Linear Programming", extended abstract, Proceedings of APMOD’98, Limassal, Cypprus, March 11-13, 1998.

Trafalis, T.B., N.P. Couellan, and P.-I. Li, F. Stumpf, and A. White, "An Affine Scaling Neural Network Training Algorithm for Prediciton of Tornados", extended abstract, Proceedings of APMOD’98, Limassal, Cyprus, March 11-13, 1998.

Refered Research Papers
Submitted (under review)

Trafalis, T.B. and N.P. Couellan, "An Incremental Primal-Dual Method for Nonlinear Programming with Special Structure", submitted to SIAM Journal on Optimization, in revision, October 1997.

Trafalis T.B. and N.P. Couellan, "An Incremental Nonlinear Primal-Dual Algorithm and Applications to Artificial Neural Networks Training", submitted to Journal of Computational Optimization and Applications, in revision, July 1997.

Couellan N.P. and T.B. Trafalis, "A Stochastic Primal-Dual Technique for Nonlinear Programming", submitted to Journal of Global Optimization, September 1997.

Trafalis, T.B., T. Terlaky, J.P. Warner and C. Roos, "Unsupervised Neural Network Training via a Potential Reduction Approach", submitted to Neural Networks, under revision.

Trafalis, T.B. and I. Al-Harkan, "A Hybrid Scatter Genetic Tabu Approach for Continuous Global Optimization", submitted to Journal of Heuristics, October 1996, under revision.

Morin, T.L. and T.B. Trafalis, "Differential DP for Differential Games," submitted to Optimal Control Applications and Methods.

Trafalis, T.B. and T.L. Morin, "Nonlinear Programming in Banach Spaces: A Penalty Method Approach", Working Paper, School of Industrial Engineering, Purdue University, submitted to Journal of Mathematical Analysis and Applications, under revision.

Badiru, A.B., T.B. Trafalis, and Le Gruenwald, "New Directions for AI Search Using The Theory of Cantor Set", submitted to Annals of Mathematics and AI, under review.

Trafalis, T.B. and S.H. Vasilev, "On the Dynamics of Surfaces Under the Flows of Interior Point Method Fields," Journal of Optimization Theory and Applications, under review.