Difference between revisions of "Category:Problem characterization"

Revision as of 18:34, 29 November 2008

This is a super-category of all problem description categories, i.e., it lists all subcategories that have been defined so far. Note that the category Category:MIOCP contains a list of all mixed-integer optimal control problems defined on these pages so far. The following graph shows the organization of categories on mintoc.de.

<graphviz border='frame' format='png'> digraph G { rankdir=LR; node [shape=plaintext];

"Problem characterization" [URL="index.php/Category:Problem_characterization"]; "Model characterization" [URL="index.php/Category:Model_characterization"]; "Objective characterization" [URL="index.php/Category:Objective_characterization"]; "Solution characterization" [URL="index.php/Category:Solution_characterization"]; AMPL [URL="index.php/Category:AMPL"]; Application [URL="index.php/Category:Application"];

"Chattering" [URL="index.php/Category:Chattering"]; "Bang bang" [URL="index.php/Category:Bang_bang"]; "DAE model" [URL="index.php/Category:DAE_model"]; "ODE model" [URL="index.php/Category:ODE_model"]; "PDE model" [URL="index.php/Category:PDE_model"]; "State dependent switches" [URL="index.php/Category:State_dependent_switches"]; "Unstable" [URL="index.php/Category:Unstable"]; "Minimum time" [URL="index.php/Category:Minimum_time"]; "Periodic" [URL="index.php/Category:Periodic"]; "Tracking objective" [URL="index.php/Category:Tracking_objective"];

"Aeronautics" [URL="index.php/Category:Aeronautics"]; "Chemical engineering" [URL="index.php/Category:Chemical_engineering"]; "Population dynamics" [URL="index.php/Category:Population_dynamics"]; "Systems biology" [URL="index.php/Category:Systems_biology"]; "Transport" [URL="index.php/Category:Transport"];

"Problem characterization"->"AMPL" "Problem characterization"->"Application" "Problem characterization"->"Model characterization" "Problem characterization"->"Objective characterization" "Problem characterization"->"Solution characterization"

"Solution characterization" -> Chattering "Solution characterization" -> "Bang bang"

"Model characterization" -> "DAE model" "Model characterization" -> "ODE model" "Model characterization" -> "PDE model" "Model characterization" -> "State dependent switches" "Model characterization" -> "Unstable"

"Objective characterization" -> "Minimum time" "Objective characterization" -> "Periodic" "Objective characterization" -> "Tracking objective"

Application -> "Aeronautics" Application -> "Chemical engineering" Application -> "Population dynamics" Application -> "Systems biology" Application -> Transport

} </graphviz>

This categorization is yet incomplete and extended whenever new problems are added to the database that do not fit in this scheme.