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Everything about Mathematical optimization
Study of mathematical algorithms for optimization problems
Mathematical optimization or mathematical programming is the selection of a best element, with regard to some criteria, from some set of available alternatives. It is generally divided into two subfields: discrete optimization and continuous optimization. Optimization problems arise in all quantitative disciplines from computer science and engineering to operations research and economics, and the development of solution methods has been of interest in mathematics for centuries. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Mathematical optimizationA 5-minute orientation
- Skim a recent paper: Artificial hummingbird algorithm: A new bio-inspired optimizer with its engineering applicationsInfluential work since 2022
- Pick up a classic book: Recent Advances in Computational OptimizationThe most-reprinted book on the subject
- Read the landmark paper: Salp Swarm Algorithm: A bio-inspired optimizer for engineering design problemsCited 4,879 times
- Go sideways: Nonlinear programmingA closely related topic
- Go sideways: Gradient descentA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
Salp Swarm Algorithm: A bio-inspired optimizer for engineering design problems
Survey of multi-objective optimization methods for engineering
Reliability-based optimization in structural engineering
Multiplier methods for engineering optimization
Niching chimp optimization for constraint multimodal engineering optimization problems
An engineering approach: Hierarchical optimization criteria
Optimization in engineering design
A Modified Cuckoo Optimization Algorithm for Engineering Optimization
🆕 Influential since 2022
Artificial hummingbird algorithm: A new bio-inspired optimizer with its engineering applications
Golden jackal optimization: A novel nature-inspired optimizer for engineering applications
Pelican Optimization Algorithm: A Novel Nature-Inspired Algorithm for Engineering Applications
Artificial rabbits optimization: A new bio-inspired meta-heuristic algorithm for solving engineering optimization problems
Osprey optimization algorithm: A new bio-inspired metaheuristic algorithm for solving engineering optimization problems
📚 Books worth reading
Recent Advances in Computational OptimizationStefka Fidanova · 2013
Modeling and Optimization: Theory and ApplicationsTamás Terlaky · 2012
Nonlinear Approaches In Engineering ApplicationsLiming Dai · 2011
Swarm Intelligence AlgorithmsAdam Slowik · 2020
Optimization in Engineering SciencesPierre Borne, Abdelkader El Kamel · 2012
Linear programmingRobert J. Vanderbei · 1996
Principles of optimal designPanos Y. Papalambros, Douglas J. Wilde · 1988
Reliability and Optimization of Structural SystemsDaniel Straub · 2010
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Nonlinear programming In mathematics, nonlinear programming (NLP), also known as nonlinear optimization, is the process of solving an optimization problem where some of the…
- Gradient descent Gradient descent is a method for unconstrained mathematical optimization. It is a first-order iterative algorithm for minimizing a differentiable multivariate…
- Convex optimization Convex optimization is a subfield of mathematical optimization that studies the problem of minimizing convex functions over convex sets (or, equivalently…
- List of numerical analysis topics This is a list of numerical analysis topics. Validated numerics Iterative method Rate of convergence — the speed at which a convergent sequence approaches…
- Interior-point method Interior-point methods (also referred to as barrier methods or IPMs) are algorithms for solving linear and non-linear convex optimization problems. IPMs…
- Active-set method In mathematical optimization, the active-set method is an algorithm used to identify the active constraints in a set of inequality constraints. The active…
- Penalty method In mathematical optimization, penalty methods are a certain class of algorithms for solving constrained optimization problems. A penalty method replaces…
- MINOS (optimization software) MINOS is a Fortran software package for solving linear and nonlinear mathematical optimization problems. MINOS (Modular In-core Nonlinear Optimization…