#### Wiki source for ResearchOptimization

====== Optimization ======

==== What is Mathematical Programming ====

----

~& from [[http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Dantzig_George.html George B. Dantzig]], Father of Mathematical Programming, "[[http://carbon.cudenver.edu/~hgreenbe/glossary/index.php?page=nature.html The Nature of Mathematical Programming]]"

Mathematical programming is the study or use of the mathematical program. It includes any or all of the following:

~- Theorems about the form of a solution, including whether one exists;

~- Algorithms to seek a solution or ascertain that none exists;

~- Formulation of problems into mathematical programs, including understanding the quality of one formulation in comparison with another;

~- Analysis of results, including debugging situations, such as infeasible or anomalous values;

~- Theorems about the model structure, including properties pertaining to feasibility, redundancy and/or implied relations (such theorems could be to support analysis of results or design of algorithms);

~- Theorems about approximation arising from imperfections of model forms, levels of aggregation, computational error, and other deviations;

~- Developments in connection with other disciplines, such as a computing environment.

==== Our Works ====

----

~- [[ZHANGroupProjects Projects]]

~- [[PubOptimization Publications]]

==== Other Resources ====

----

~- [[LinkOptimization Links of Optimization]]

==== What is Mathematical Programming ====

----

~& from [[http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Dantzig_George.html George B. Dantzig]], Father of Mathematical Programming, "[[http://carbon.cudenver.edu/~hgreenbe/glossary/index.php?page=nature.html The Nature of Mathematical Programming]]"

Mathematical programming is the study or use of the mathematical program. It includes any or all of the following:

~- Theorems about the form of a solution, including whether one exists;

~- Algorithms to seek a solution or ascertain that none exists;

~- Formulation of problems into mathematical programs, including understanding the quality of one formulation in comparison with another;

~- Analysis of results, including debugging situations, such as infeasible or anomalous values;

~- Theorems about the model structure, including properties pertaining to feasibility, redundancy and/or implied relations (such theorems could be to support analysis of results or design of algorithms);

~- Theorems about approximation arising from imperfections of model forms, levels of aggregation, computational error, and other deviations;

~- Developments in connection with other disciplines, such as a computing environment.

==== Our Works ====

----

~- [[ZHANGroupProjects Projects]]

~- [[PubOptimization Publications]]

==== Other Resources ====

----

~- [[LinkOptimization Links of Optimization]]