Everything about Extended Mathematical Programming
Algebraic modeling languages like AIMMS, AMPL, GAMS, MPL and others have been developed to facilitate the description of a problem in mathematical terms and to link the abstract formulation with data-management systems on the one hand and appropriate algorithms for solution on the other. Robust algorithms and modeling language interfaces have been developed for a large variety of mathematical programming problems such as linear programs (LPs), nonlinear programs (NPs), mixed integer programs (MIPs), mixed complementarity programs (MCPs) and others. Researchers are constantly updating the types of problems and algorithms that they wish to use to model in specific domain applications. Wikipedia →
🧠Start here: a 6-step reading path
- Read the overview: Extended Mathematical ProgrammingA 5-minute orientation
- Pick up a classic book: String-Math 2016The most-reprinted book on the subject
- Read the landmark paper: An extended mathematical programming frameworkCited 49 times
- Go sideways: Bilevel optimizationA closely related topic
- Go sideways: Complementarity theoryA closely related topic
đź“– Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
An extended mathematical programming framework
Solving equilibrium problems using extended mathematical programming
Optimization of extended business processes in digital supply chains using mathematical programming
A mathematical programming approach for frictional contact problems with the extended finite element method
An Extended Mathematical Programming Model for Optimising the Transportation of Oil in Pipeline Networks
đź“š Books worth reading
String-Math 2016Amir-Kian Kashani-Poor, Ruben Minasian · 2018
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
đź”— Related topics
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- Complementarity theory A complementarity problem is a type of mathematical optimization problem. It is the problem of optimizing (minimizing or maximizing) a function of two…
- General algebraic modeling system The general algebraic modeling system (GAMS) is a high-level modeling system for mathematical optimization. GAMS is designed for modeling and solving linear…
- List of optimization software Given a transformation between input and output values, described by a mathematical function, optimization deals with generating and selecting the best…
- Algebraic modeling language Algebraic modeling languages (AML) are high-level computer programming languages for describing and solving high complexity problems for large scale mathematica…
- Artelys Knitro Artelys Knitro is a commercial software package for solving large scale nonlinear mathematical optimization problems. KNITRO – (the original solver name)…
- Mathematical optimization Mathematical optimization (alternatively spelled optimisation) or mathematical programming is the selection of a best element, with regard to some criteria…
- COIN-OR Computational Infrastructure for Operations Research (COIN-OR), is a project that aims to "create for mathematical software what the open literature is…