Wiki source for ResearchOptimization
====== Optimization ======
==== What is Mathematical Programming ====
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~& 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 ====
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~- [[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]]