Optimal Methods
Our Specialty is Software for Nonlinear Optimization
     
Publications
 

The following are most of our publications on...

Nonlinear Optimization - Theory, Algorithms, and Applications

Daniel Fylstra, Leon Lasdon, Allan Waren, and John Watson, "Design and Use of the Microsoft Excel Solver," Interfaces, to appear 1998.

Y.Fan, S. Sarkar, and L. Lasdon, "Experiments with Successive Quadratic Programming Algorithms,"
Journal of Optimization Theory and Applications, Vol. 56, No. 3, March 1998.

Leon Lasdon, John Plummer, and Allan D. Waren, "Nonlinear Programming," Chapter 5 in Mathematical Programming for Industrial Engineers, M. Avriel and B. Golany (eds.), Marcel Dekker, Inc., May 1996.

Leon S. Lasdon, Billy Rigby, and Allan D. Waren, "The Evolution of Texaco's Blending Systems: From OMEGA to StarBlend," Interfaces, Vol 25, No. 5, pp. 64-83; September-October 1995.

Stuart Smith and Leon Lasdon, "Solving Large Sparse Nonlinear Programs Using GRG," ORSA Journal on Computing, Vol. 4, No. 1, Winter 1992.

C. W. DeWitt, L. S. Lasdon, A. D. Waren, D. A. Brenner, and S. Melham, "OMEGA: An Improved Gasoline Blending System for Texaco," in Excellence in Management Science Practice, A. A. Assad, E. A. Wasil, and G. L. Lilien (eds.), Prentice-Hall, Inc., 1990.

C. W. DeWitt, L. S. Lasdon, A. D. Waren, D. A. Brenner, and S. Melham, "OMEGA: An Improved Gasoline Blending System for Texaco," Interfaces, Vol. 19, pp. 85-101; January-February 1989.

L. S. Lasdon, J. Plummer, B. Buehler, and A. D. Waren, "Optimal Design of Efficient Acoustic Antenna Arrays" Mathematical Programming, Vol. 39, pp. 131-156; November 1987.

A. D. Waren, M. S. Hung, and L. S. Lasdon, "The Status of NLP Software: An Update," Operations Research, Vol. 35, pp. 489 - 503; July-August 1987.

Judith Liebman, Leon Lasdon, Linus Schrage, and Allan Waren, Modeling and Optimization with GINO, The Scientific Press, Palo Alto, 1986.

Jianzhong Zhang, Nae-Heon Kim and L. Lasdon, "An Improved Successive Linear Programming Algorithm,"
Management Science, Vol. 31, No. 10, October 1985.

L. S. Lasdon and A. D. Waren, "Large Scale Nonlinear Programming," Computers and Chemical Engineering, Vol. 7, No. 5, pp. 595-604; May 1983.

L. S. Lasdon and A. D. Waren, "Solving Large Nonlinear Programs - Algorithms and Applications," Proc. National Conference AICHE, November, 1982.

L. S. Lasdon and A. D. Waren, "Large Scale Nonlinear Programming," Proc. Twentieth Annual Allerton Conference on Communication, Control and Computing, pp. 416-424; October, 1982.

L. S. Lasdon and A. D. Waren, "GRG2 - An All FORTRAN General Purpose Nonlinear Optimizer," ACM SIGMAP Bulletin, No. 30, pp. 10-11; February 1981.

L. S. Lasdon and A. D. Waren, "A Survey of Nonlinear Programming Applications," Operations Research, Vol. 28, No. 5, pp. 1029-1073; September-October 1980. (Feature article)

L. S. Lasdon, A. D. Waren, S. Sarkar and F. Palacios, "Solving the Pooling Problem Using Generalized Reduced Gradient and Successive Linear Programming Algorithms," ACM SIGMAP Bulletin, No. 27, pp. 9-15; August 1979.

A. D. Waren and L. S. Lasdon, "The Status of Nonlinear Programming Software," Operations Research, Vol. 27, No. 3, pp. 431-457; May-June 1979.

L. S. Lasdon and A. D. Waren, "Generalized Reduced Gradient Software for Linearly and Nonlinearly Constrained Problems," in Design and Implementation of Optimization Software, H. J. Greenberg (ed.), Sitjhoff and Noordhoff, 1978.

L. S. Lasdon and A. D. Waren, "Nonlinear Programming Software," American Astronautical Society, Vol. 30, AAS Microfiche Series; November 1978.

L. S. Lasdon, A. D. Waren, A. Jain and M. Ratner, "Design and Testing of a Generalized Reduced Gradient Code for Nonlinear Programming," ACM Transactions on Mathematical Software, Vol. 4, No. 1, pp. 34-50; March 1978.

A. D. Waren, L. S. Lasdon, L. Stotts, and D. McCall, "Recent Developments in Nonlinear Optimization and Their Use in Engineering Design," in Large Engineering Systems, A. Wexler (ed.), Pergamon Press, pp. 184-197, 1977.

A. D. Waren and L. S. Lasdon, "A Survey of Nonlinear Programming Software," Proc. ACM Annual Conference, October 1977.

L. S. Lasdon and A. D. Waren, "Optimal Design of Filters with Bounded Lossy Elements," in Computer-Aided Circuit Design: Simulation and Optimization, S. W. Director (ed.), Dowden, Hutchinson and Ross, 1974.

I. A. Athanassopoulos, J. D. Schoeffler and A. D. Waren, "Time Domain Synthesis by Nonlinear Programming," in Computer-Aided Circuit Design: Simulation and Optimization, S. W. Director (ed.), Dowden, Hutchinson and Ross, 1974.

A. D. Waren and L. S. Lasdon, "Optimal Design of Acoustic Sonar Transducer Arrays," IEEE International Conference Record on Engineering in the Ocean Enviornment, Vol. 2, pp. 3-9, August 1974.

L. S. Lasdon and A. D. Waren, "Optimal Design of Filters with Bounded Lossy Elements," in Computer-Aided Filter Design, George Szentermai (ed.), pp. 235-247; IEEE Press, 1973.

A. D. Waren and L. S. Lasdon, "Applying Mathematical Programming," Electro-Technology, Vol. 81, No. 3, pp. 48-52; March 1968.

A. D. Waren, L. S. Lasdon and D. F. Suchman, "Optimizing in Engineering Design," Proceedings of the IEEE, Vol. 55, No. 11, pp. 1888-1897; November 1967.

L. S. Lasdon and A. D. Waren, "Mathematical Programming for Optimal Design," Electro-Technology, Vol. 80, No. 11, pp. 53-70; November 1967.

L. S. Lasdon, D. F. Suchman and A. D. Waren, "Nonlinear Programming Applied to Linear Array Design," Journal of the Acoustical Society, Vol. 40, No. 5, pp. 1197-1200; November 1966.

L. S. Lasdon and A. D. Waren, "Optimal Design of Filters with Bounded Lossy Elements," IEEE Transactionson Circuit Theory, Vol. CT - 13, pp. 175-187; June 1966.

S. K. Mitter, L. S. Lasdon and A. D. Waren, "The Method of Conjugate Gradients for Optimal Control Problems," Proceedings of the IEEE, Vol. 54, No. 6, pp. 904-5; June 1966.

A. D. Waren and L. S. Lasdon, "A Note on the Automatic Design of Filters," Proceedings of the IEEE, Vol. 53, No. 9, pp. 1261-1262; September 1965.

A. D. Waren and L. S. Lasdon, "Practical Filter Design Using Mathematical Optimization," Proc. Third Annual Allerton Conference on Circuit and System Theory, pp. 677-689; October, 1965.