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Place this template at the bottom of appropriate articles in optimization: {{Optimization algorithms}}For most transcluding articles, you should add the variable designating the most relevant sub-template: The additional variable will display the sub-template's articles (while hiding the articles in the other sub-templates):
Mathematical optimization (alternatively spelled optimisation) or mathematical programming is the selection of a best element, with regard to some criteria, from some set of available alternatives. [ 1 ] [ 2 ] It is generally divided into two subfields: discrete optimization and continuous optimization .
You mentioned some important graph algorithms above. The template is for optimization algorithms. Your suggestion sounds appropriate for a template on optimization theory. A year ago, I made some similar comments, suggeting some topics that I thought might belong in a more (theoretical) template---"foundations of optimization": Order & lattice ...
In terms of mathematical optimization, dynamic programming usually refers to simplifying a decision by breaking it down into a sequence of decision steps over time. This is done by defining a sequence of value functions V 1 , V 2 , ..., V n taking y as an argument representing the state of the system at times i from 1 to n .
Consider a finite, undirected graph G rooted at the vertex r. Let the ground set be the vertices of G and the feasible sets be the vertex subsets containing r that induce connected subgraphs of G. This is called the vertex search greedoid and is a kind of antimatroid. Consider a finite, directed graph D rooted at r.
Branch and bound (BB, B&B, or BnB) is a method for solving optimization problems by breaking them down into smaller sub-problems and using a bounding function to eliminate sub-problems that cannot contain the optimal solution. It is an algorithm design paradigm for discrete and combinatorial optimization problems, as well as mathematical ...
A commercial optimization solver for linear programming, non-linear programming, mixed integer linear programming, convex quadratic programming, convex quadratically constrained quadratic programming, second-order cone programming and their mixed integer counterparts. AMPL: CPLEX: Popular solver with an API for several programming languages.
In mathematics, the minimum k-cut is a combinatorial optimization problem that requires finding a set of edges whose removal would partition the graph to at least k connected components. These edges are referred to as k-cut. The goal is to find the minimum-weight k-cut.