====== 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]]