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Test Problems Home
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Twice continuously differentiable NLPs represent a very broad class of problems with diverse applications in the fields of engineering, science, finance and economics. Specific problems include phase equilibrium characterization, minimum potential energy conformation of clusters and molecules, distillation sequencing, reactor network design, batch process design, VLSI chip design, protein folding, and portfolio optimization.
| Test Problem | Description | Gams File |
|---|---|---|
| 1 | Adjiman-et.al.(98a) | ex8.1.1.gms |
| 2 | Maranas-Floudas(94b) | ex8.1.2.gms |
| 3 | Goldstein-Price(71) | ex8.1.3.gms |
| 4 | Dixon-Szego(75)(Three-hump camelback function) | ex8.1.4.gms |
| 5 | Dixon-Szego(75)(Six-hump Camelback Function) | ex8.1.5.gms |
| 6 | Dixon-Szego(75)(Shekel Function) | ex8.1.6.gms |
| 7 | Murtagh-Saunders(93) and Adjiman-et.al.(98b) | ex8.1.7.gms |
| 8 | Ryoo-Sahinidis(95) | ex8.1.8.gms |
| Test Problem | Description | Gams File |
|---|---|---|
| 1 | Single-Product Campaign (2 products in 3 stages with 1 scenario) | ex8.2.1.gms |
| 2 | Single-Product Campaign (4 products in 6 stages with 3 scenarios) | ex8.2.2.gms |
| 3 | Single-Product Campaign (5 products in 6 stages with 1 scenario) | ex8.2.3.gms |
| 4 | Mixed-Product Campaign with Unlimited Intermediate Storage (2 products in 3 stages with 1 scenario) | ex8.2.4.gms |
| 5 | Mixed-Product Campaign with Unlimited Intermediate Storage (4 products in 6 stages with 1 scenario) | ex8.2.5.gms |
| Test Problem | Description | Gams File | MINOPT File |
|---|---|---|---|
| 1 | Nonisothermal Van de Vusse Reaction Case I | ex8.3.1.gms | ex8.3.1.dat |
| 2 | Isothermal Van de Vusse Case I | ex8.3.2.gms | ex8.3.2.dat |
| 3 | Isothermal Van de Vusse Case II | ex8.3.3.gms | ex8.3.3.dat |
| 4 | Isothermal Van de Vusse Case III | ex8.3.4.gms | ex8.3.4.dat |
| 5 | Isothermal Van de Vusse Case IV | ex8.3.5.gms | ex8.3.5.dat |
| 6 | Isothermal Trambouze Reaction | ex8.3.6.gms | ex8.3.6.dat |
| 7 | Isothermal Denbigh Reaction Case I | ex8.3.7.gms | ex8.3.7.dat |
| 8 | Isothermal Denbigh Reaction Case II | ex8.3.8.gms | ex8.3.8.dat |
| 9 | Isothermal Levenspiel Reaction | ex8.3.9.gms | ex8.3.9.dat |
| 10 | a-Pinene Reaction | ex8.3.10.gms | ex8.3.10.dat |
| 11 | Nonisothermal Van de Vusse Reaction Case II | ex8.3.11.gms | ex8.3.11.dat |
| 12 | Nonisothermal Naphthalene Reaction | ex8.3.12.gms | ex8.3.12.dat |
| 13 | Nonisothermal Parallel Reactions | ex8.3.13.gms | ex8.3.13.dat |
| 14 | Sulfur Dioxide Oxidation | ex8.3.14.gms | ex8.3.14.dat |
| Test Problem | Description | Gams File |
|---|---|---|
| 1 | Linear Model | ex8.4.1.gms |
| 2 | Polynomial Model | ex8.4.2.gms |
| 3 | Non-linear Model | ex8.4.3.gms |
| 4 | Respiratory Mechanical Model | ex8.4.4.gms |
| 5 | Kowalik Problem | ex8.4.5.gms |
| 6 | Pharmacokinetic Model | ex8.4.6.gms |
| 7 | Steady-State CSTR | ex8.4.7.gms |
| 8 | Vapor-Liquid Equilibrium Model | ex8.4.8.gms |
| Test Problem | Description | Gams File |
|---|---|---|
| 1 | Ternary system with unstable feed solution (Van der Waals) | ex8.5.1.gms |
| 2 | Ternary system with stable feed solution (Van der Waals) | ex8.5.2.gms |
| 3 | Hydrogen sulfide - methane (SRK) | ex8.5.3.gms |
| 4 | Methane - propane (SRK) | ex8.5.4.gms |
| 5 | Carbon dioxide - methane (Peng-Robinson) | ex8.5.5.gms |
| 6 | Nitrogen - methane - ethane (Peng-Robinson) | ex8.5.6.gms |
| Test Problem | Description | Gams File |
|---|---|---|
| 1 | Lennard-Jones Potential | ex8.6.1.gms |
| 2 | Morse Potential | ex8.6.2.gms |
| 3 | Tersoff Potential | .gms |
| 4 | Brenner Potential | .gms |
| 5 | Bolding-Andersen Potential | .gms |