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Dynamic Optimization Problems

Dynamic optimization problems involve dynamic variables whose values change in time. Such problems exist in the areas of optimal control, parameter estimation for dynamic models, reactor network synthesis where the dynamic models arise from the differential modeling of the tubular reactors (plug flow reactors), and for dynamic simulation and optimization.

Note: The data files in this chapter are provided as MINOPT input files. MINOPT is able to solve problems containing both differential and algebraic equations, while GAMS can only handle algebraic equations. For more information about MINOPT, visit the MINOPT home page.

Section 1: Chemical Reactor Network Synthesis

Test Problem Description MINOPT File
1 Nonisothermal Van de Vusse Reaction Case I ex15.1.1.dat
2 Isothermal Van de Vusse Reaction Case I ex15.1.2.dat
3 Isothermal Van de Vusse Reaction Case II ex15.1.3.dat
4 Isothermal Van de Vusse Reaction Case III ex15.1.4.dat
5 Isothermal Van de Vusse Reaction Case IV ex15.1.5.dat
6 Isothermal Trambouze Reaction ex15.1.6.dat
7 Isothermal Denbigh Reaction Case I ex15.1.7.dat
8 Isothermal Denbigh Reaction Case II ex15.1.8.dat
9 Isothermal Levenspiel Reaction ex15.1.9.dat
10 alpha-Pinene Reaction ex15.1.10.dat
11 Nonisothermal Van de Vusse Reaction Case II ex15.1.11.dat
12 Nonisothermal Naphthalene Reaction ex15.1.12.dat
13 Nonisothermal Parallel Reactions ex15.1.13.dat
14 Sulfur Dioxide Oxidation ex15.1.14.dat

Section 2: Parameter Estimation Problems

Test Problem Description MINOPT File
1 First order irreversible chain reaction I ex15.2.1.dat
2 First order irreversible chain reaction II ex15.2.2.dat
3 Catalytic Cracking of Gas Oil ex15.2.3.dat
4 Bellman's Problem ex15.2.4.dat
5 Methanol-to-Hydrocarbons Process ex15.2.5.dat
6 Lotka-Volterra Problem ex15.2.6.dat

Section 3: Optimal Control Problems

Test Problem Description MINOPT File
1 One state - one control variable ex15.3.1.dat
2 Nonlinear singular control problem ex15.3.2.dat
3 CSTR Problem ex15.3.3.dat
4 Oil Shale Pyrolysis ex15.3.4.dat
5 Bifunctional Catalyst Blend Problem ex15.3.5.dat

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