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REPORTS & PAPERS

Hooking solvers to AMPL Learn More >>

David M. Gay, Hooking Your Solver to AMPL. Technical report, Bell Laboratories, Murray Hill, NJ (1993; revised 1994, 1997). Abstract >>

Running AMPL remotely on the NEOS Server Learn More >>

Elizabeth D. Dolan, Robert Fourer, Jean-Pierre Goux, Todd S. Munson and Jason Sarich, Kestrel: An Interface from Optimization Modeling Systems to the NEOS Server. INFORMS Journal on Computing 20 (2008) 525-538. Abstract >>

Elizabeth D. Dolan, Robert Fourer, Jorge J. Moré and Todd S. Munson, Optimization on the NEOS Server. SIAM News 35, 6 (July/August 2002), 4, 8-9.

General principles of AMPL and modeling languages

Robert Fourer, Algebraic Modeling Languages for Optimization. In S.I. Gass and M.C. Fu, eds., Encyclopedia of Operations Research and Management Science, Springer (2013).

Robert Fourer, On the Evolution of Optimization Modeling Systems. M. Groetschel, Optimization Stories. Documenta Mathematica (2012) 377-388.

Robert Fourer, David M. Gay and Brian W. Kernighan, Design Principles and New Developments in the AMPL Modeling Language. In Modeling Languages in Mathematical Optimization , J. Kallrath, ed., Kluwer Academic Publishers, Dordrecht, The Netherlands (2003).Abstract >>

Robert Fourer, David M. Gay and Brian W. Kernighan, A Modeling Language for Mathematical Programming. Management Science36 (1990) 519-554.Abstract >>

Robert Fourer, Modeling Languages versus Matrix Generators for Linear Programming. ACM Transactions on Mathematical Software 9 (1983) 143-183. Abstract >>

Details of AMPL’s design

David M. Gay, Using Expression Graphs in Optimization Algorithms. Mixed-Integer Nonlinear Programming: IMA Volumes in Mathematics and its Applications 154 (2012) 247-262. Abstract >>

Robert Fourer and David M. Gay, Numerical Issues and Influences in the Design of Algebraic Modeling Languages for Optimization. In Proceedings of the 20th Biennial Conference on Numerical Analysis, Dundee, Scotland, D.F. Griffiths and D.A. Watson, eds. Numerical Analysis Report NA/217 (2003) 39-51.

Robert Fourer and David M. Gay, Extending an Algebraic Modeling Language to Support Constraint Programming. INFORMS Journal on Computing 14, 4 (2002) 322-344. Abstract >>

David M. Gay, Symbolic-Algebraic Computations in a Modeling Language for Mathematical Programming. In Symbolic Algebraic Methods and Verification Methods, G. Alefeld, J. Rohn, and T. Yamamoto, eds, Springer-Verlag (2001) 99-106. Abstract >>

Robert Fourer and David M. Gay, Conveying Problem Structure from an Algebraic Modeling Language to Optimization Algorithms. In Computing Tools for Modeling, Optimization and Simulation: Interfaces in Computer Science and Operations Research, M. Laguna and J.L. González-Velarde, eds., Kluwer Academic Publishers, Dordrecht, The Netherlands (2000). Abstract >>

Michael C. Ferris, Robert Fourer and David M. Gay, Expressing Complementarity Problems in an Algebraic Modeling Language and Communicating Them to Solvers. SIAM Journal on Optimization 9 (1999) 991-1009. Abstract >>

Robert Fourer, Extending a General-Purpose Algebraic Modeling Language to Combinatorial Optimization: A Logic Programming Approach. In D.L. Woodruff, ed., Advances in Computational and Stochastic Optimization, Logic Programming, and Heuristic Search: Interfaces in Computer Science and Operations Research, Kluwer Academic Publishers (Dordrecht, The Netherlands, 1998) 31-74.

David M. Gay, Automatically Finding and Exploiting Partially Separable Structure in Nonlinear Programming Problems. Bell Laboratories, Murray Hill, NJ (1996). Abstract >>

David M. Gay, More AD of Nonlinear AMPL Models: Computing Hessian Information and Exploiting Partial Separability. In Computational Differentiation: Techniques, Applications, and Tools, M. Berz, C. Bischof, G. Corliss and A. Griewank, eds., SIAM (Philadelphia, 1996) 173-184. Abstract >>

Robert Fourer and David M. Gay, Expressing Special Structures in an Algebraic Modeling Language for Mathematical Programming. ORSA Journal on Computing 7 (1995) 166-190. Abstract >>

Robert Fourer and David M. Gay, Experience with a Primal Presolve Algorithm. In Large Scale Optimization: State of the Art, W.W. Hager, D.W. Hearn and P.M. Pardalos, eds., Kluwer Academic Publishers (Dordrecht, 1994) 135-154. Abstract >>

David M. Gay, Automatic Differentiation of Nonlinear AMPL Models. In Automatic Differentiation of Algorithms: Theory, Implementation, and Application, A. Griewank and G. Corliss, eds., SIAM (Philadelphia, 1991) 61-73. Abstract >>

David M. Gay, Correctly Rounded Binary-Decimal and Decimal-Binary Conversions. Numerical Analysis Manuscript 90-10, AT&T Bell Laboratories, Murray Hill, NJ (1990). Abstract >>