By Josef Kallrath (auth.), Josef Kallrath (eds.)
This booklet Algebraic Modeling platforms – Modeling and fixing genuine global Optimization difficulties – offers with the facets of modeling and fixing real-world optimization difficulties in a distinct mixture. It treats systematically the key algebraic modeling languages (AMLs) and modeling platforms (AMLs) used to resolve mathematical optimization difficulties. AMLs helped considerably to extend using mathematical optimization in undefined. accordingly it really is logical outcome that the GOR (Gesellschaft für Operations study) operating crew Mathematical Optimization in actual existence had a moment assembly dedicated to AMLs, which, after 7 years, the unique 71st assembly of the GOR (Gesellschaft für Operations study) operating staff Mathematical Optimization in actual existence which was once held below the name Modeling Languages in Mathematical Optimization in the course of April 23–25, 2003 within the German Physics Society convention development in undesirable Honnef, Germany. whereas the 1st assembly led to the e-book Modeling Languages in Mathematical Optimization, this ebook is an offspring of the 86th assembly of the GOR operating crew which was once back held in undesirable Honnef below the name Modeling Languages in Mathematical Optimization.
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Additional info for Algebraic Modeling Systems: Modeling and Solving Real World Optimization Problems
The solver technology, in some sense, is now a commodity which allows the users to switch, for instance, from one MILP solver to another one, or play and collect experience with the free Coin-OR solvers. The implementation of polylithic modeling and solution approaches described in Kallrath  is possible without huge development efforts. And last but not least, the development of Microsoft Windows and improved hardware technology lead to graphical user interfaces such as XpressIVE for Mosel, GAMSIDE in GAMS, or systems such as AIMMS and MPL.
At that time there was no market for AMLs. , they symbolically generated the first and second derivative information. Another line of development was triggered by the advent of personal computers (PCs). Dash Optimization with their solver XPRESS-OPTIMIZER and their modeling language mp-model provided a tool to PC users rather than mainframes. Thus, after a while, AMLs also became superior in implementing LP models and succeeded MPS. Nowadays, academic research models (developed by scientists) are used to developing and testing solvers, or constructing efficient model reformulations.
The language is extensible, notions can be defined as usual and will then be understood. • To deal with ambiguities, the system makes use of contextual information. By complementing existing approaches to mathematical knowledge management, the FMathL project will contribute towards the development of: • The QED project : FMathL would come with a database of basic mathematics, preferably completely formalized. In addition, the natural interface would make contributing to the QED project easier.
Algebraic Modeling Systems: Modeling and Solving Real World Optimization Problems by Josef Kallrath (auth.), Josef Kallrath (eds.)