Credits

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Credits:

Abate, M	Ackermann, J	Adhya, N	Adjiman, C S	Aggarwal, A
Ahmed, S	Aiyoshi, E	Al-Khayyal, F A	Anitescu, M	ARKI Consulting
Arnold, K J	Ascher, U M	Averick, B M	Avriel, M	Bard, J F
Barmish, B R	Beck, J V	Beltramo, M A	Ben-Sadd, S	Ben-Tal, A
Berna, T	Betts, J	Biegler, L T	Binous, H	Blitzer, C
Bondarenko, A S	Borland	Bracken, J	Brennecke, J	Brooke, A
Bryson, A E	Bulirsch, R	Bullard, L G	Capriz, G	Carlson, R C
Carter, R G	Castillo, J	Cesari, L	Chenery, H B	Cimatti, G
Ciric, A R	Clark, P A	Coello Coello, C A	Colville, A R	Condon, T
Csendes, T	Dahl, H	Dallwig, S	de Gaston, R	Deaven, D M
Deb, K	Dembo, R S	den Hertog, D	Devarajan, S	Dixon, L
Dolan, E D	Drud, A	Drud, A S	Edgar, T F	Eiger, G
Eldersveld, S	Esposito, W R	Fair, R C	Falk, J E	Ferraris, G B
Floudas, C A	Fredenslund, A	Friedman, A	GAMS Development	GAMS Software GmbH
Gay, D M	Gershovitz, V	Gill, P E	Glowinski, R	Goldstein, A
Goyal, M	Graham, R L	Green, K	Greenberg, B	Greening, D
Grossmann, I E	Gumus, Z H	Hancil, V	Handbook of Test Problems	Hansen, E
Harding, S T	Harker, P T	Hart, S M	Haverly, C A	Heidemann, R
Hesse, R	Himmelblau, D M	Hlavacek, V	Ho, K M	Ho, Y
Hock, W	Hofmann, H	Hua, J	Huffman, W	Ishizuka, Y
Kaesbauer, D	Kalantari, B	Kasnagoklu, H	Kearfott, R	Kendrick, D
Kim, I	Kim, Y S	Klepeis, J L	Konno, H	Kubicek, M
Kuijlaars, A	Kuno, T	Kutcher, G P	Lasdon, L S	Le-Si, V
Leclerc, A	Lewis, J	Liebman, J	Liebman, M J	Liu, J
Liu, Y H	Locke, M	Luks, K	Lundqvist K.	Magnussen, T
Mandhane, J	Mangasarian, O L	Manne, A S	Manousiouthakis, V	Maranas, C D
Maria, G	Marin, R	Mathematica	Mattheij, R M M	McCormick, G P
McDonald, C M	Meeraus, A	Meintjes, K	Meyer, C A	Michelsen, M L
Migdalas, A	Mitra, P	Moore, R E	Morari, M	More, J J
Morgan, A P	Morris, J R	Muench, R	Mulvey, J	Murillo-Sanchez, C
Murray, W	Murtagh, B A	Nelson, C R	Nemhauser, G L	Nerz, E
Neumaier, A	Norton, R D	Novoa, M	O'Mara, G T	Pardalos, P M
Paules IV, G E	Pesch, H J	Pindyck, R S	Pinter, J D	Plummer, J
Polocsay, S W	Price, J	Raduchel, W J	Ragsdell, K	Ramsey, F P
Rasmussen, P	Ratschek, H	Ratz, D	Reklaitis, G	Robinson, S
Rod, V	Rokne, J	Rosen, J B	Rosenborg, A	Rosenbrock, H H
Rothschild, B J	Russell, R D	Ryoo, H S	Saff, E B	Safonov, M
Sahinidis, N	Sanchez	Sargent, R	Saunders, M A	Scandizzo, P L
Schaible, S	Schittkowski, K	Schrage, L	Schweiger, C A	Serban, R
Shah, J V	Sharov, A F	Shectman, J P	Shimizu, K	Siddall, J N
Sideris, A	Sinkule, J	Smith, J	So, K C	Sodini, C
Soland, R	Sourlas, D	Stadtherr, M	Stehouwer, H P	Stephanopoulos, G
Stinstra, E	Stoecker, W F	Stoutjesdijk, A J	Swaney, R E	Szegoe, G P
Tawarmalani, M	Taylor, L	Tempo, R	Tendulkar, S	Tesi, A
Thakur, L S	Thoai, N V	Tjoa, I B	Tronconi, E	Tsai, L -
Tuy, H	Vanderbei, R	Varbrand, P	Vestjens, A	Vicino, A
Visweswaran, V	von Stryk, O	Wall, T W	Waren, A D	Westerberg, A W
Westerlund, T	Weyant, J P	Wilkinson, J H	Williams, A C	Wingo, D
Wollenberg, B F	Wood, A J	Woolsey, R E D	Wright, M H	Xia, Q
Xue, G L	Yajima, Y	Yezza, A	Zenios, S A	Zhou, S

Credit List:

Abate, M:

Abate, M, Barmish, B R, Murillo-Sanchez, C, and Tempo, R, Application of Some New Tools to Robust Stability Analysis of Spark Ignition Engines : A Case Study. IEEE Trans. Contr. Syst. Tech. 2 (1994), 22.
Model:
- ex7_3_6

Ackermann, J:

Ackermann, J, Kaesbauer, D, and Muench, R, Robust Gamma-Stability Analysis in a Plant Parameter Space. Automatica 27 (1991), 75.
Models:
- ex7_3_3
- ex7_3_5

Adhya, N:

Adhya, N, Tawarmalani, M, and Sahinidis, N, A Lagrangian Approach to the Pooling Problem. Industrial and Engineering Chemical Research 38 (1999), 1956-1972.
Model:
- haverly

Adjiman, C S:

Floudas, C A, Pardalos, P M, Adjiman, C S, Esposito, W R, Gumus, Z H, Harding, S T, Klepeis, J L, Meyer, C A, and Schweiger, C A, Handbook of Test Problems in Local and Global Optimization. Kluwer Academic Publishers, 1999.
Adjiman, C S, Dallwig, S, Floudas, C A, and Neumaier, A, A Global Optimization Method, aBB, For General Twice-Differentiable NLPs - I. Theoretical Advances. Comput. Chem. Eng. 22 (1998), 1137-1158.
Models:

Aggarwal, A:

Aggarwal, A, and Floudas, C A, Synthesis of General Distillation Sequences: Nonsharp Separation. Computers and Chemical Engineering 14, 6 (1990), 631-653.
Model:
- ex5_3_3

Ahmed, S:

Tawarmalani, M, and Ahmed, S, Analysis of a machining process, 1997. Project Report on Design of Experiments
Model:
- st_e42

Aiyoshi, E:

Shimizu, K, and Aiyoshi, E, A New Computational Method for Stackelberg and Mim-Max Problems by Use of a Penalty Method. IEEE Trans. on Aut. Control 26 (1981).
Model:
- ex9_2_2

Al-Khayyal, F A:

Al-Khayyal, F A, and Falk, J E, Jointly constrained biconvex programming. Mathematics of Operations Research 8 (1983), 273-286.
Model:
- st_e23

Anitescu, M:

Anitescu, M, and Serban, R, A Sparse Superlinearly Convergent SQP with Applications to Two-Dimensional Shape Optimization. Tech. rep., Argonne National Laboratory, 1998.
Models:

ARKI Consulting:

ARKI Consulting, ARKI Consulting Client Models.
Models:

Arnold, K J:

Beck, J V, and Arnold, K J, Parameter Estimation in Engineering and Science. Wiley, New York, 1977.
Model:
- st_e37

Ascher, U M:

Ascher, U M, Mattheij, R M M, and Russell, R D, Numerical Solution of Boundary Value Problems for Ordinary Differential Equations. SIAM, 1995.
Models:

Averick, B M:

Averick, B M, Carter, R G, More, J J, and Xue, G L, The MINPACK-2 Test Problem Collection. Tech. rep., Mathematics and Computer Science Division, Argonne National Laboratory, 1992.
Models:

Avriel, M:

Avriel, M, and Williams, A C, An Extension of Geometric Programming with Applications in Engineering Optimization. Journal of Engineering Mathematics 5 (1971), 187-194.
Models:
- ex5_4_2
- ex7_2_3

Bard, J F:

Bard, J F, Some Properties of the Bilevel Programming Problem. Journal of Optimization Theory and Applications 68 (1991), 371-378.
Bard, J F, and Falk, J E, An Explicit Solution to the Multi-Level Programming Problem. Comp. Op. Res. 9 (1982), 77-100.
Shimizu, K, Ishizuka, Y, and Bard, J F, Nondifferentiable and Two-Level Mathematical Programming. Kluwer Academic Publishers, 1997.
Models:

Barmish, B R:

Barmish, B R, New Tools for Robustness of Linear Systems. MacMillan Publishing Company, New York, NY, 1994.
Abate, M, Barmish, B R, Murillo-Sanchez, C, and Tempo, R, Application of Some New Tools to Robust Stability Analysis of Spark Ignition Engines : A Case Study. IEEE Trans. Contr. Syst. Tech. 2 (1994), 22.
Model:
- ex7_3_6

Beck, J V:

Beck, J V, and Arnold, K J, Parameter Estimation in Engineering and Science. Wiley, New York, 1977.
Model:
- st_e37

Beltramo, M A:

Manne, A S, and Beltramo, M A, GTM: An International Gas Trade Model ,International Energy Program Report. Stanford University, 1984.
Model:
- gtm

Ben-Sadd, S:

Ben-Sadd, S, An Algorithm for a Class of Nonlinear Nonconvex Optimization Problems. PhD thesis, University of California, Los Angeles, 1989.
Model:
- ex3_1_4

Ben-Tal, A:

Ben-Tal, A, Eiger, G, and Gershovitz, V, Global Minimization by Reducing the Duality Gap. Mathematical Programming 63 (1994), 193-212.
Models:
- ex5_2_4
- ex5_2_5

Berna, T:

Berna, T, Locke, M, and Westerberg, A W, A New Approach to Optimization of Chemical Processes. American Institute of Chemical Engineers Journal 26, 1 (1980), 37-43.
Model:
- alkyl

Betts, J:

Betts, J, Eldersveld, S, and Huffman, W, Sparse Nonlinear Programming Test Problems. Tech. rep., Boeing Computer Services, 1993.
Models:

Biegler, L T:

Bullard, L G, and Biegler, L T, Iterative Linear-Programming Strategies for Constrained Simulation. Comput. Chem. Eng. 15 (1991), 239-254.
Tjoa, I B, and Biegler, L T, Reduced Successive Quadratic Programming Strategy for Errors-in-Variables Estimation. Comp. Chem. Engng 16 (1992), 523.
Tjoa, I B, and Biegler, L T, Simultaneous Solution and Optimization Strategies for Parameter Estimation of Differential-Algebraic Equations Systems. Ind. Eng. Chem. Res. 30 (1991), 376-385.
Biegler, L T, Grossmann, I E, and Westerberg, A W, Systematic Methods of Chemical Process Design. Prentice Hall, Upper Saddle River, New Jersey, 1997.
Models:

Binous, H:

Binous, H, Chemical Engineering Application Models. (Contributed models)
Models:
- alkylation
- filter

Blitzer, C:

Blitzer, C, Meeraus, A, and Stoutjesdijk, A J, A Dynamic model of OPEC Trade and Production. Journal of Development Economics, 2 (1975), 318-335.
Model:
- otpop

Bondarenko, A S:

Rothschild, B J, Sharov, A F, and Bondarenko, A S, Estimating Growth and Mortality in Stage-Structured Populations. Journal of Plankton Research 19 (1997), 1913-1928.
Models:

Borland:

Borland, Eureka: The Solver, Borland International, Scotts Valley, California, 1987.
Model:
- house

Bracken, J:

Bracken, J, and McCormick, G P, Selected Applications of Nonlinear Programming. John Wiley and Sons, New York, 1968.
Models:

Brennecke, J:

Hua, J, Brennecke, J, and Stadtherr, M, Enhanced Interval Analysis for Phase Stability: Cubic Equation of State Models. I and EC res. 37 (1998), 1519-1527.
Models:

Brooke, A:

Brooke, A, Kendrick, D, and Meeraus, A, GAMS: A User's Guide. The Scientific Press, Redwood City, California, 1988.
Brooke, A, Drud, A S, and Meeraus, A, Modeling Systems and Nonlinear Programming in a Research Environment. In Ragavan, R, and Rohde, S M, Eds, Computers in Engineering, Vol. III. ACME, 1985.
Models:
- qp1
- qp2
- qp3
- qp4
- qp5
- water

Bryson, A E:

Bryson, A E, Dynamic Optimization. Addison Wesley, 1999.
Bryson, A E, and Ho, Y, Applied Optimal Control: Optimization, Estimation, and Control. John Wiley and Sons, 1975.
Models:

Bulirsch, R:

Bulirsch, R, Ed, Optimal Control. Birkhauser Verlag, 1993.
Models:

Bullard, L G:

Bullard, L G, and Biegler, L T, Iterative Linear-Programming Strategies for Constrained Simulation. Comput. Chem. Eng. 15 (1991), 239-254.
Model:
- ex14_1_3

Capriz, G:

Capriz, G, and Cimatti, G, Free Boundary Problems in the Theory of Hydrodynamic Lubrication: A Survey. In Fasano, A, and Primicerio, M, Eds, Research Notes in Mathematics. Pitman, 1983, pp. 613-635.
Models:

Carlson, R C:

Carlson, R C, and Nemhauser, G L, Scheduling to Minimize Interaction Cost. Operations Research 14 (1966), 52-58.
Model:
- nemhaus

Carter, R G:

Averick, B M, Carter, R G, More, J J, and Xue, G L, The MINPACK-2 Test Problem Collection. Tech. rep., Mathematics and Computer Science Division, Argonne National Laboratory, 1992.
Models:

Castillo, J:

Castillo, J, and Grossmann, I E, Computation of Phase and Chemical Equilibria. Comput. Chem. Eng. 5 (1981), 99.
Model:
- ex6_1_3

Cesari, L:

Cesari, L, Optimization - Theory and Applications. Springer Verlag, 1983.
Models:

Chenery, H B:

Chenery, H B, and Raduchel, W J, Substitution and Structural Change. In Chenery, H B, Ed, Structural Change and Development Policy. Oxford University Press, New York and Oxford, 1979.
Model:
- chenery

Cimatti, G:

Capriz, G, and Cimatti, G, Free Boundary Problems in the Theory of Hydrodynamic Lubrication: A Survey. In Fasano, A, and Primicerio, M, Eds, Research Notes in Mathematics. Pitman, 1983, pp. 613-635.
Models:

Ciric, A R:

Floudas, C A, and Ciric, A R, Eds, Proceedings of the Third International Symposium on Process Systems Engineering, 1988.
Floudas, C A, and Ciric, A R, Strategies for overcoming uncertainties in heat exchanger network synthesis. Computers and Chemical Engineering 13 (1989), 1133-1152.
Models:
- ex5_4_4
- st_e16

Clark, P A:

Clark, P A, and Westerberg, A W, Bilevel Programming for Steady-State Chemical Process Design-i. Fundamentals and Algorithms. Comput. Chem. Eng. 14 (1990), 87.
Clark, P A, and Westerberg, A W, A Note on the Optimality Conditions for the Bilevel Programming Problem. Naval Research Logistics 35 (1988), 413-418.
Models:

Coello Coello, C A:

Coello Coello, C A, Treating Constraints as Objectives for Single-Objective Evolutionary Optimization. Engineering Optimization 32 (2000), 275-308.
Model:
- bearing

Colville, A R:

Colville, A R, A Comparative Study of Nonlinear Programming Codes. In Kuhn, H W, Ed, Princeton Symposium on Mathematical Programming. Princeton Univ. Press, 1970.
Models:
- ex3_1_2
- st_e28

Condon, T:

Condon, T, Dahl, H, and Devarajan, S, Implementing a Computable General equilibrium Model on GAMS - The Cameroon Model. Tech. rep., The World Bank, 1987.
Models:
- camcge
- camcns

Csendes, T:

Csendes, T, and Ratz, D, Subdivision Direction Selection in Interval Methods for Global Optimization. Journal of Global Optimization 7 (1995), 183.
Model:
- ex8_4_4

Dahl, H:

Condon, T, Dahl, H, and Devarajan, S, Implementing a Computable General equilibrium Model on GAMS - The Cameroon Model. Tech. rep., The World Bank, 1987.
Dahl, H, Meeraus, A, and Zenios, S A, Some Financial Optimization Models: Risk Management. In Zenios, S A, Ed, Financial Optimization. Cambridge University Press, New York, NY, 1993.
Models:

Dallwig, S:

Adjiman, C S, Dallwig, S, Floudas, C A, and Neumaier, A, A Global Optimization Method, aBB, For General Twice-Differentiable NLPs - I. Theoretical Advances. Comput. Chem. Eng. 22 (1998), 1137-1158.
Models:

de Gaston, R:

de Gaston, R, and Safonov, M, Exact Calculation of the Multi-Loop Stability Margin. IEEE Trans. Automat. Contr. 33 (1988), 68.
Model:
- ex7_3_1

Deaven, D M:

Morris, J R, Deaven, D M, and Ho, K M, Genetic Algorithm Energy Minimization for Point Charges on a Sphere. Phys. Rev. B. 53 (1996), R1740-R1743.
Models:

Deb, K:

Deb, K, and Goyal, M, Optimizing Engineering Designs Using a Combined Genetic Search. In Back, T, Ed, Proceedings of the Seventh International Conference on Genetic Algorithms. 1997, pp. 521-528.
Model:
- bearing

Dembo, R S:

Dembo, R S, A Set of Geometric Programming Test Problems and Their Solutions. Math. Prog. 10 (1976), 192-213.
Models:
- ex7_2_1
- ex7_2_4

den Hertog, D:

Stinstra, E, den Hertog, D, Stehouwer, H P, and Vestjens, A, Constrained Maximin Designs for Computer Experiments. Technometrics (under revision) (2002).
Model:
- maxmin

Devarajan, S:

Condon, T, Dahl, H, and Devarajan, S, Implementing a Computable General equilibrium Model on GAMS - The Cameroon Model. Tech. rep., The World Bank, 1987.
Models:
- camcge
- camcns

Dixon, L:

Dixon, L, and Szegoe, G P, Towards Global Optimization. In University of Cagliari, Ed, Proceedings of a Workshop at the University of Cagliari, Italy. North Holland, 1975.
Dixon, L, On Finding the Global Minimum of a Function of One Variable. In SIAM, Ed, SIAM National Meeting. Chicago, 1990.
Models:

Dolan, E D:

Dolan, E D, and More, J J, Benchmarking Optimization Software with COPS. Tech. rep., Mathematics and Computer Science Division, 2000.
Models:

Drud, A:

Drud, A, Missing bounds in models ex8_2_*.gms, Private Communications, 2004.
Drud, A, Missing bounds and replacement of common multiplicative sub-expression exp(data-b(i)) in models ex8_2_*.gms, Private Communications, 2004.
Models:

Drud, A S:

Zenios, S A, Drud, A S, and Mulvey, J, Balancing some large Social Accounting Matrices with Nonlinear Programming. Tech. rep., Department of Civil Engineering, Princeton University, 1986.
Brooke, A, Drud, A S, and Meeraus, A, Modeling Systems and Nonlinear Programming in a Research Environment. In Ragavan, R, and Rohde, S M, Eds, Computers in Engineering, Vol. III. ACME, 1985.
Drud, A S, and Rosenborg, A, Dimensioning Water Distribution Networks. Masters thesis, Institute of Mathematical Statistics and Operations Research, Technical University of Denmark, 1973. (in Danish)
Models:
- sambal
- water

Edgar, T F:

Kim, I, Liebman, M J, and Edgar, T F, Robust Error-in-Variables Estimation Using Nonlinear Programming Techniques. AIChE 36 (1990), 985.
Edgar, T F, Himmelblau, D M, and Lasdon, L S, Optimization of Chemical Processes. McGraw Hill, Boston, 2001.
Models:

Eiger, G:

Ben-Tal, A, Eiger, G, and Gershovitz, V, Global Minimization by Reducing the Duality Gap. Mathematical Programming 63 (1994), 193-212.
Models:
- ex5_2_4
- ex5_2_5

Eldersveld, S:

Betts, J, Eldersveld, S, and Huffman, W, Sparse Nonlinear Programming Test Problems. Tech. rep., Boeing Computer Services, 1993.
Models:

Esposito, W R:

Floudas, C A, Pardalos, P M, Adjiman, C S, Esposito, W R, Gumus, Z H, Harding, S T, Klepeis, J L, Meyer, C A, and Schweiger, C A, Handbook of Test Problems in Local and Global Optimization. Kluwer Academic Publishers, 1999.
Esposito, W R, and Floudas, C A, Global Optimization in Parameter Estimation of Nonlinear Algebraic Models via the Error-in-Variables Approach. Ind. Eng. Chem. Res. 35 (1998), 1841-1858.
Esposito, W R, and Floudas, C A, Parameter Estimation of Nonlinear Algebraic Models via Global Optimization. Comput. Chem. Eng. 22 (1998), S213-S220.
Models:

Fair, R C:

Fair, R C, Specification, Estimation, and Analysis of Macroeconomic Models. Harvard University Press, Cambridge, Mass, 1984.
Model:
- hhfair

Falk, J E:

Bard, J F, and Falk, J E, An Explicit Solution to the Multi-Level Programming Problem. Comp. Op. Res. 9 (1982), 77-100.
Falk, J E, and Liu, J, On Bilevel Programming, Part i: General Nonlinear Cases. Mathematical Programming 70 (1995), 47.
Al-Khayyal, F A, and Falk, J E, Jointly constrained biconvex programming. Mathematics of Operations Research 8 (1983), 273-286.
Falk, J E, and Soland, R M, An algorithm for separable nonconvex programming problems. Management Science 15 (1969), 550-569.
Falk, J E, and Polocsay, S W, Image space analysis of generalized fractional programs. Journal of Global Optimization 4 (1994), 63-88.
Models:

Ferraris, G B:

Ferraris, G B, and Tronconi, E, BUNLSI - a FORTRAN Program for Solution of Systems of Nonlinear Algebraic Equations. Comput. Chem. Eng. 10 (1986), 129-141.
Model:
- ex14_1_4

Floudas, C A:

Floudas, C A, Pardalos, P M, Adjiman, C S, Esposito, W R, Gumus, Z H, Harding, S T, Klepeis, J L, Meyer, C A, and Schweiger, C A, Handbook of Test Problems in Local and Global Optimization. Kluwer Academic Publishers, 1999.
Maranas, C D, and Floudas, C A, Global Minimum Potential Energy Conformations of Small Molecules. Journal of Global Optimization 4 (1994), 135-170.
Adjiman, C S, Dallwig, S, Floudas, C A, and Neumaier, A, A Global Optimization Method, aBB, For General Twice-Differentiable NLPs - I. Theoretical Advances. Comput. Chem. Eng. 22 (1998), 1137-1158.
Floudas, C A, and Pardalos, P M, Eds, State of the Art in Global Optimization. Kluwer Academic Publishers, 1996.
Visweswaran, V, and Floudas, C A, Computational Results for an Efficient Implementation of the GOP Algorithm and its Variants. In Grossmann, I E, Ed, Global Optimization in Engineering Design. Kluwer Books, 1996.
Floudas, C A, and Ciric, A R, Eds, Proceedings of the Third International Symposium on Process Systems Engineering, 1988.
Floudas, C A, Nonlinear and Mixed Integer Optimization: Fundamentals and Applications. Oxford University Press, 1995.
McDonald, C M, and Floudas, C A, Global Optimization for the Phase Stability Problem. AIChE J. 41 (1995), 1798.
McDonald, C M, and Floudas, C A, GLOPEQ: A New Computational Tool for the Phase and Chemical Equilibrium Problem. Comput. Chem. Eng. 21 (1997), 1-23.
McDonald, C M, and Floudas, C A, Global Optimization and Analysis for the Gibbs Free Energy Function Using the UNIFAC, Wilson and ASOG Equations. I and EC Res. 34 (1995), 1674.
McDonald, C M, and Floudas, C A, Global Optimization for the Phase and Chemical Equilibrium Problem: Application to the NRTL Equation. Comput. Chem. Eng. 19 (1995), 1.
Maranas, C D, and Floudas, C A, Global Optimization in Generalized Geometric Programming. Comput. Chem. Eng. 21 (1997), 351-370.
Floudas, C A, and Pardalos P M, Eds, Recent Advances in Global Optimization. Princeton University Press, 1992.
Esposito, W R, and Floudas, C A, Global Optimization in Parameter Estimation of Nonlinear Algebraic Models via the Error-in-Variables Approach. Ind. Eng. Chem. Res. 35 (1998), 1841-1858.
Harding, S T, and Floudas, C A, Global Optimization in Multiproduct and Multipurpose Batch Design Under Uncertainty. I and EC Res. 36 (1997), 1644-1664.
Aggarwal, A, and Floudas, C A, Synthesis of General Distillation Sequences: Nonsharp Separation. Computers and Chemical Engineering 14, 6 (1990), 631-653.
Schweiger, C A, and Floudas, C A, Optimization Framework for the Synthesis of Chemical Reactor Networks. Ind. Eng. Chem. Res. (1998).
Esposito, W R, and Floudas, C A, Parameter Estimation of Nonlinear Algebraic Models via Global Optimization. Comput. Chem. Eng. 22 (1998), S213-S220.
Floudas, C A, and Paules IV, G E, A Mixed-Integer Nonlinear Programming Formulation for the Synthesis of Heat Integrated Distillation Sequence. Computers and Chemical Engineering 12, 6 (1988), 531-546.
Floudas, C A, and Ciric, A R, Strategies for overcoming uncertainties in heat exchanger network synthesis. Computers and Chemical Engineering 13 (1989), 1133-1152.
Visweswaran, V, and Floudas, C A, A global optimization algorithm (GOP) for certain classes of nonconvex NLPs---II. Applications of theory and test problems. Computers and Chemical Engineering 14 (1990), 1419-1434.
Models:
- ex14_1_1
- ex14_1_2
- ex14_1_3
- ex14_1_4
- ex14_1_5
- ex14_1_6
- ex14_1_7
- ex14_1_8
- ex14_1_9
- ex14_2_1
- ex14_2_2
- ex14_2_3
- ex14_2_4
- ex14_2_5
- ex14_2_6
- ex14_2_7
- ex14_2_8
- ex14_2_9
- ex2_1_1
- ex2_1_10
- ex2_1_2
- ex2_1_3
- ex2_1_4
- ex2_1_5
- ex2_1_6
- ex2_1_7
- ex2_1_8
- ex2_1_9
- ex3_1_1
- ex3_1_2
- ex3_1_3
- ex3_1_4
- ex4_1_1
- ex4_1_2
- ex4_1_3
- ex4_1_4
- ex4_1_5
- ex4_1_6
- ex4_1_7
- ex4_1_8
- ex4_1_9
- ex5_2_2_case1
- ex5_2_2_case2
- ex5_2_2_case3
- ex5_2_4
- ex5_2_5
- ex5_3_2
- ex5_3_3
- ex5_4_2
- ex5_4_3
- ex5_4_4
- ex6_1_1
- ex6_1_2
- ex6_1_3
- ex6_1_4
- ex6_2_10
- ex6_2_11
- ex6_2_12
- ex6_2_13
- ex6_2_14
- ex6_2_5
- ex6_2_6
- ex6_2_7
- ex6_2_8
- ex6_2_9
- ex7_2_1
- ex7_2_2
- ex7_2_3
- ex7_2_4
- ex7_3_1
- ex7_3_2
- ex7_3_3
- ex7_3_4
- ex7_3_5
- ex7_3_6
- ex8_1_1
- ex8_1_2
- ex8_1_3
- ex8_1_4
- ex8_1_5
- ex8_1_6
- ex8_1_7
- ex8_1_8
- ex8_2_1
- ex8_2_1a
- ex8_2_1b
- ex8_2_2
- ex8_2_2a
- ex8_2_2b
- ex8_2_3
- ex8_2_3a
- ex8_2_3b
- ex8_2_4
- ex8_2_4a
- ex8_2_4b
- ex8_2_5
- ex8_2_5a
- ex8_2_5b
- ex8_3_1
- ex8_3_10
- ex8_3_11
- ex8_3_12
- ex8_3_13
- ex8_3_14
- ex8_3_2
- ex8_3_3
- ex8_3_4
- ex8_3_5
- ex8_3_6
- ex8_3_7
- ex8_3_8
- ex8_3_9
- ex8_4_1
- ex8_4_2
- ex8_4_3
- ex8_4_4
- ex8_4_5
- ex8_4_6
- ex8_4_7
- ex8_4_8
- ex8_4_8_bnd
- ex8_5_1
- ex8_5_2
- ex8_5_3
- ex8_5_4
- ex8_5_5
- ex8_5_6
- ex8_6_1
- ex8_6_2
- ex9_1_1
- ex9_1_10
- ex9_1_2
- ex9_1_4
- ex9_1_5
- ex9_1_8
- ex9_2_1
- ex9_2_2
- ex9_2_3
- ex9_2_4
- ex9_2_5
- ex9_2_6
- ex9_2_7
- ex9_2_8
- methanol100
- methanol200
- methanol400
- methanol50
- minlphi
- prob06
- st_e16
- st_e18

Fredenslund, A:

Magnussen, T, Rasmussen, P, and Fredenslund, A, UNIFAC Parameter Table for Prediction of Liquid-Liquid Equilibria. I and EC Proc. Des. Dev. 26 (1981), 159.
Model:
- ex6_2_10

Friedman, A:

Friedman, A, Free Boundary Problems in Science and Technology. Notices Amer. Math. Soc. 47 (2000), 854-861.
Models:

GAMS Development:

GAMS Development, GAMS Development Client Models.
Model:
- infeas1

GAMS Software GmbH:

GAMS Software GmbH, GAMS Software Client Models.
Models:
- btest14
- gsg_0001

Gay, D M:

Gay, D M, AMPL Models.
Models:

Gershovitz, V:

Ben-Tal, A, Eiger, G, and Gershovitz, V, Global Minimization by Reducing the Duality Gap. Mathematical Programming 63 (1994), 193-212.
Models:
- ex5_2_4
- ex5_2_5

Gill, P E:

Gill, P E, Murray, W, and Saunders, M A, GAMS/SNOPT: An SQP Algorithm for Large-Scale Constrained Optimization.
Model:
- circle

Glowinski, R:

Glowinski, R, Numerical Methods for Nonlinear Variational Problems. Springer Verlag, 1984.
Models:

Goldstein, A:

Goldstein, A, and Price, J, On Descent From Local Minima. Mathematics of Computation 25 (1971), 569-574.
Models:
- ex4_1_6
- ex8_1_3

Goyal, M:

Deb, K, and Goyal, M, Optimizing Engineering Designs Using a Combined Genetic Search. In Back, T, Ed, Proceedings of the Seventh International Conference on Genetic Algorithms. 1997, pp. 521-528.
Model:
- bearing

Graham, R L:

Graham, R L, The Largest Small Hexagon. J. Combin. Th. 18 (1975), 165-170.
Models:

Green, K:

Green, K, Zhou, S, and Luks, K, The Fractal Response of Robust Solution Techniques to the Stationary Point Problem. Fluid Phase Equilibria 84 (1993), 49-78.
Model:
- ex8_5_1

Greenberg, B:

Greenberg, B, Lasdon, L S, and Plummer, J, Using Global Optimization to Estimate Population Class Sizes. Tech. rep., McComb School of Business, University of Texas, Austin, TX, 2003.
Models:

Greening, D:

Wall, T W, Greening, D, and Woolsey, R E D, Solving Complex Chemical Equilibria Using a Geometric-Programming Based Technique. Operations Research 34, 3 (1987).
Model:
- wall

Grossmann, I E:

Grossmann, I E, Ed, Global Optimization in Engineering Design. Kluwer Books, 1996.
Kocis, G R, and Grossmann, I E, Global Optimization of Nonconvex MINLP Problems in Process Synthesis. Industrial and Engineering Chemical Research 27 (1988), 1407-1421.
Castillo, J, and Grossmann, I E, Computation of Phase and Chemical Equilibria. Comput. Chem. Eng. 5 (1981), 99.
Grossmann, I E, and Sargent, R, Optimal Design of Multipurpose Chemical Plants. Ind. Eng. Chem. Proc. Des. Dev. 18 (1979), 343.
Morari, M, and Grossmann, I E, Eds, Chemical Engineering Optimization Models with GAMS. Computer Aids for Chemical Engineering Corporation, 1991.
Sahinidis, N, and Grossmann, I E, Convergence properties of generalized Benders' decomposition. Computers and Chemical Engineering 15 (1991), 481-491.
Biegler, L T, Grossmann, I E, and Westerberg, A W, Systematic Methods of Chemical Process Design. Prentice Hall, Upper Saddle River, New Jersey, 1997.
Models:

Gumus, Z H:

Floudas, C A, Pardalos, P M, Adjiman, C S, Esposito, W R, Gumus, Z H, Harding, S T, Klepeis, J L, Meyer, C A, and Schweiger, C A, Handbook of Test Problems in Local and Global Optimization. Kluwer Academic Publishers, 1999.
Models:

Hancil, V:

Rod, V, and Hancil, V, Iterative Estimation of Model Parameters When Measurements of All Variables are Subject to Error. Comp. Chem. Engng 4 (1980), 33.
Model:
- ex8_4_3

Handbook of Test Problems:

Floudas, C A, Pardalos, P M, Adjiman, C S, Esposito, W R, Gumus, Z H, Harding, S T, Klepeis, J L, Meyer, C A, and Schweiger, C A, Handbook of Test Problems in Local and Global Optimization. Kluwer Academic Publishers, 1999.
Models:

Hansen, E:

Moore, R E, Hansen, E, and Leclerc, A, Rigorous Methods for Global Optimization. In Floudas, C A, and Pardalos P M, Eds, Recent Advances in Global Optimization. Princeton University Press, 1992.
Model:
- ex8_4_5

Harding, S T:

Floudas, C A, Pardalos, P M, Adjiman, C S, Esposito, W R, Gumus, Z H, Harding, S T, Klepeis, J L, Meyer, C A, and Schweiger, C A, Handbook of Test Problems in Local and Global Optimization. Kluwer Academic Publishers, 1999.
Harding, S T, and Floudas, C A, Global Optimization in Multiproduct and Multipurpose Batch Design Under Uncertainty. I and EC Res. 36 (1997), 1644-1664.
Models:

Harker, P T:

Harker, P T, Alternative Models of Spatial Competition. Operations Research 34, 3 (1986), 410-425.
Model:
- harker

Hart, S M:

Liu, Y H, and Hart, S M, Characterizing an Optimal Solution to the Linear Bilevel Programming Problem. European Journal of Operational Research 79 (1994), 164-166.
Model:
- ex9_1_2

Haverly, C A:

Haverly, C A, Studies of the Behavior of Recursion for the Pooling Problem. ACM SIGMAP Bull 25 (1978), 19-28.
Models:

Heidemann, R:

Heidemann, R, and Mandhane, J, Some Properties of the NRTL Equation in Correcting Liquid-Liquid Equilibrium Data. Chem. Eng. Sci. 28 (1973), 1213.
Models:

Hesse, R:

Hesse, R, A Heuristic Search Procedure for Estimating a Global Solution of Nonconvex Programming Problems. Op. Res. 21 (1973), 1267.
Model:
- ex3_1_3

Himmelblau, D M:

Himmelblau, D M, Applied Nonlinear Programming. Mc Graw Hill, New York, 1972.
Edgar, T F, Himmelblau, D M, and Lasdon, L S, Optimization of Chemical Processes. McGraw Hill, Boston, 2001.
Models:

Hlavacek, V:

Kubicek, M, Hofmann, H, Hlavacek, V, and Sinkule, J, Multiplicity and Stability in a Sequence of Two Nonadiabatic Nonisothermal CSTRS. Chem. Engng. Sci. 35 (1980), 987.
Model:
- ex14_1_8

Ho, K M:

Morris, J R, Deaven, D M, and Ho, K M, Genetic Algorithm Energy Minimization for Point Charges on a Sphere. Phys. Rev. B. 53 (1996), R1740-R1743.
Models:

Ho, Y:

Bryson, A E, and Ho, Y, Applied Optimal Control: Optimization, Estimation, and Control. John Wiley and Sons, 1975.
Models:

Hock, W:

Hock, W, and Schittkowski, K, Test Examples for Nonlinear Programming Codes, Lecture Notes in Economics and Mathematical Systems. Springer Verlag, 1981.
Models:

Hofmann, H:

Kubicek, M, Hofmann, H, Hlavacek, V, and Sinkule, J, Multiplicity and Stability in a Sequence of Two Nonadiabatic Nonisothermal CSTRS. Chem. Engng. Sci. 35 (1980), 987.
Model:
- ex14_1_8

Hua, J:

Hua, J, Brennecke, J, and Stadtherr, M, Enhanced Interval Analysis for Phase Stability: Cubic Equation of State Models. I and EC res. 37 (1998), 1519-1527.
Models:

Huffman, W:

Betts, J, Eldersveld, S, and Huffman, W, Sparse Nonlinear Programming Test Problems. Tech. rep., Boeing Computer Services, 1993.
Models:

Ishizuka, Y:

Shimizu, K, Ishizuka, Y, and Bard, J F, Nondifferentiable and Two-Level Mathematical Programming. Kluwer Academic Publishers, 1997.
Model:
- ex9_2_1

Kaesbauer, D:

Ackermann, J, Kaesbauer, D, and Muench, R, Robust Gamma-Stability Analysis in a Plant Parameter Space. Automatica 27 (1991), 75.
Models:
- ex7_3_3
- ex7_3_5

Kalantari, B:

Kalantari, B, and Rosen, J B, An algorithm for global minimization of linearly constrained convex quadratic functions. Mathematics of Operations Research 12 (1987), 544--561.
Model:
- st_e22

Kasnagoklu, H:

Le-Si, V, Scandizzo, P L, and Kasnagoklu, H, Turkey Agricultural Sector Model. Tech. rep., The World Bank, 1982.
Model:
- turkey

Kearfott, R:

Kearfott, R, and Novoa, M, INTBIS, A Portable Interval Newton Bisection Package. ACM Trans. Math. Soft. 16 (1990), 152-157.
Models:
- ex14_1_5
- ex14_1_6

Kendrick, D:

Brooke, A, Kendrick, D, and Meeraus, A, GAMS: A User's Guide. The Scientific Press, Redwood City, California, 1988.
Kendrick, D, Caution and Probing in a Macroeconomic Model. Journal of Economic Dynamics and Control 4, 2 (1982).
Kendrick, D, and Taylor, L, Numerical methods and Nonlinear Optimizing models for Economic Planning. In Chenery, H B, Ed, Studies of Development Planning. Harvard University Press, 1971.
Models:
- abel
- chakra
- qp1
- qp2
- qp3
- qp4
- qp5

Kim, I:

Kim, I, Liebman, M J, and Edgar, T F, Robust Error-in-Variables Estimation Using Nonlinear Programming Techniques. AIChE 36 (1990), 985.
Models:

Kim, Y S:

Kim, Y S, Problems in reliability, 1998. Personal Communication
Model:
- st_e41

Klepeis, J L:

Floudas, C A, Pardalos, P M, Adjiman, C S, Esposito, W R, Gumus, Z H, Harding, S T, Klepeis, J L, Meyer, C A, and Schweiger, C A, Handbook of Test Problems in Local and Global Optimization. Kluwer Academic Publishers, 1999.
Models:

Konno, H:

Konno, H, and Kuno, T, Linear multiplicative programming. Mathematical Programming 56 (1992), 51-64.
Konno, H, Kuno, T, and Yajima, Y, Global optimization of a generalized convex multiplicative function. Journal of Global Optimization 4 (1994), 47-62.
Models:

Kubicek, M:

Kubicek, M, Hofmann, H, Hlavacek, V, and Sinkule, J, Multiplicity and Stability in a Sequence of Two Nonadiabatic Nonisothermal CSTRS. Chem. Engng. Sci. 35 (1980), 987.
Model:
- ex14_1_8

Kuijlaars, A:

Saff, E B, and Kuijlaars, A, Distributing Many Points on the Sphere. Math. Intelligencer 19 (1997), 5-11.
Models:

Kuno, T:

Konno, H, and Kuno, T, Linear multiplicative programming. Mathematical Programming 56 (1992), 51-64.
Konno, H, Kuno, T, and Yajima, Y, Global optimization of a generalized convex multiplicative function. Journal of Global Optimization 4 (1994), 47-62.
Models:

Kutcher, G P:

Kutcher, G P, Meeraus, A, and O'Mara, G T, Agriculture Sector and Policy Models. The World Bank, 1988.
Model:
- demo7

Lasdon, L S:

Liebman, J, Lasdon, L S, Schrage, L, and Waren, A D, Modeling and Optimization with GINO. The Scientific Press, Palo Alto, CA, 1986.
Greenberg, B, Lasdon, L S, and Plummer, J, Using Global Optimization to Estimate Population Class Sizes. Tech. rep., McComb School of Business, University of Texas, Austin, TX, 2003.
Edgar, T F, Himmelblau, D M, and Lasdon, L S, Optimization of Chemical Processes. McGraw Hill, Boston, 2001.
Models:

Le-Si, V:

Le-Si, V, Scandizzo, P L, and Kasnagoklu, H, Turkey Agricultural Sector Model. Tech. rep., The World Bank, 1982.
Model:
- turkey

Leclerc, A:

Moore, R E, Hansen, E, and Leclerc, A, Rigorous Methods for Global Optimization. In Floudas, C A, and Pardalos P M, Eds, Recent Advances in Global Optimization. Princeton University Press, 1992.
Model:
- ex8_4_5

Lewis, J:

Lewis, J, and Robinson, S, Chapter 11. In Chenery, H B, Robinson, S, and Syrquin, M, Eds, Industrialization and Growth: A Comparative Study. Oxford University Press, London, 1986.
Models:
- korcge
- korcns

Liebman, J:

Liebman, J, Lasdon, L S, Schrage, L, and Waren, A D, Modeling and Optimization with GINO. The Scientific Press, Palo Alto, CA, 1986.
Models:

Liebman, M J:

Kim, I, Liebman, M J, and Edgar, T F, Robust Error-in-Variables Estimation Using Nonlinear Programming Techniques. AIChE 36 (1990), 985.
Models:

Liu, J:

Falk, J E, and Liu, J, On Bilevel Programming, Part i: General Nonlinear Cases. Mathematical Programming 70 (1995), 47.
Model:
- ex9_2_6

Liu, Y H:

Liu, Y H, and Hart, S M, Characterizing an Optimal Solution to the Linear Bilevel Programming Problem. European Journal of Operational Research 79 (1994), 164-166.
Model:
- ex9_1_2

Locke, M:

Berna, T, Locke, M, and Westerberg, A W, A New Approach to Optimization of Chemical Processes. American Institute of Chemical Engineers Journal 26, 1 (1980), 37-43.
Model:
- alkyl

Luks, K:

Green, K, Zhou, S, and Luks, K, The Fractal Response of Robust Solution Techniques to the Stationary Point Problem. Fluid Phase Equilibria 84 (1993), 49-78.
Model:
- ex8_5_1

Lundqvist K.:

Westerlund, T, and Lundqvist K., Alpha-ECP, Version 5.01 An Interactive MINLP-Solver Based on the Extended Cutting Plane Method, Report 01-178-A. Tech. rep., Process Design Laboratory at Abo University, 2001.
Models:

Magnussen, T:

Magnussen, T, Rasmussen, P, and Fredenslund, A, UNIFAC Parameter Table for Prediction of Liquid-Liquid Equilibria. I and EC Proc. Des. Dev. 26 (1981), 159.
Model:
- ex6_2_10

Mandhane, J:

Heidemann, R, and Mandhane, J, Some Properties of the NRTL Equation in Correcting Liquid-Liquid Equilibrium Data. Chem. Eng. Sci. 28 (1973), 1213.
Models:

Mangasarian, O L:

Mangasarian, O L, Nonlinear Programming. McGraw Hill, New York, 1973.
Model:
- pollut

Manne, A S:

Manne, A S, ETA-MACRO: A Model of Energy-Economy Interactions. In Hitch, C J, Ed, Modeling Energy-Economy Interactions: Five Approaches. Resources for the Future, Washington, DC, 1977.
Manne, A S, and Beltramo, M A, GTM: An International Gas Trade Model ,International Energy Program Report. Stanford University, 1984.
Manne, A S, Nelson, C R, So, K C, and Weyant, J P, CPM: A Contingency Planning Model of the International Oil Market, International Energy Program Report. Tech. rep., Stanford University, 1982.
Models:

Manousiouthakis, V:

Manousiouthakis, V, and Sourlas, D, A Global Optimization Approach to Rationally Constrained Rational Programming. Chem. Eng. Comm. 115 (1992), 127.
Models:

Maranas, C D:

Maranas, C D, and Floudas, C A, Global Minimum Potential Energy Conformations of Small Molecules. Journal of Global Optimization 4 (1994), 135-170.
Maranas, C D, and Floudas, C A, Global Optimization in Generalized Geometric Programming. Comput. Chem. Eng. 21 (1997), 351-370.
Models:

Maria, G:

Maria, G, An Adaptive Strategy for Solving Kinetic Model Concomitant Estimation - Reduction Problems. Can. J. Chem. Eng. 67 (1989), 825.
Models:

Marin, R:

Marin, R, Points of location on a fixture, 1998. Personal Communication
Model:
- st_e30

Mathematica:

Mathematica, MathOptimizer - An Advanced Modeling and Optimization System for Mathematica Users. http://www.wolfram.com/products/applications/mathoptimizer/
Models:

Mattheij, R M M:

Ascher, U M, Mattheij, R M M, and Russell, R D, Numerical Solution of Boundary Value Problems for Ordinary Differential Equations. SIAM, 1995.
Models:

McCormick, G P:

Bracken, J, and McCormick, G P, Selected Applications of Nonlinear Programming. John Wiley and Sons, New York, 1968.
Models:

McDonald, C M:

McDonald, C M, Global Optimization for the Phase and Chemical Equilibrium Problem. PhD thesis, Princeton University, 1995.
McDonald, C M, and Floudas, C A, Global Optimization for the Phase Stability Problem. AIChE J. 41 (1995), 1798.
McDonald, C M, and Floudas, C A, GLOPEQ: A New Computational Tool for the Phase and Chemical Equilibrium Problem. Comput. Chem. Eng. 21 (1997), 1-23.
McDonald, C M, and Floudas, C A, Global Optimization and Analysis for the Gibbs Free Energy Function Using the UNIFAC, Wilson and ASOG Equations. I and EC Res. 34 (1995), 1674.
McDonald, C M, and Floudas, C A, Global Optimization for the Phase and Chemical Equilibrium Problem: Application to the NRTL Equation. Comput. Chem. Eng. 19 (1995), 1.
Models:

Meeraus, A:

Brooke, A, Kendrick, D, and Meeraus, A, GAMS: A User's Guide. The Scientific Press, Redwood City, California, 1988.
Kutcher, G P, Meeraus, A, and O'Mara, G T, Agriculture Sector and Policy Models. The World Bank, 1988.
Blitzer, C, Meeraus, A, and Stoutjesdijk, A J, A Dynamic model of OPEC Trade and Production. Journal of Development Economics, 2 (1975), 318-335.
Dahl, H, Meeraus, A, and Zenios, S A, Some Financial Optimization Models: Risk Management. In Zenios, S A, Ed, Financial Optimization. Cambridge University Press, New York, NY, 1993.
Brooke, A, Drud, A S, and Meeraus, A, Modeling Systems and Nonlinear Programming in a Research Environment. In Ragavan, R, and Rohde, S M, Eds, Computers in Engineering, Vol. III. ACME, 1985.
Models:
- demo7
- immun
- meanvar
- otpop
- qp1
- qp2
- qp3
- qp4
- qp5
- water
- worst

Meintjes, K:

Meintjes, K, and Morgan, A P, Chemical-Equilibrium Systems as Numerical Test Problems. ACM Trans. Math. Soft. 16 (1990), 143-151.
Model:
- ex14_1_2

Meyer, C A:

Floudas, C A, Pardalos, P M, Adjiman, C S, Esposito, W R, Gumus, Z H, Harding, S T, Klepeis, J L, Meyer, C A, and Schweiger, C A, Handbook of Test Problems in Local and Global Optimization. Kluwer Academic Publishers, 1999.
Models: