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Multi-objective optimization or Pareto optimization (also known as multi-objective programming, vector optimization, multicriteria optimization, or multiattribute optimization) is an area of multiple-criteria decision making that is concerned with mathematical optimization problems involving more than one objective function to be optimized simultaneously.
Efficiency notions: Pareto-efficiency, graph Pareto-efficiency (where Pareto-domination considers only exchanges between neighbors on a fixed graph), and group-Pareto-efficiency. An allocation X as k-group-Pareto-efficient (GPE k) if there is no other allocation Y that is at least as good (by arithmetic mean of utilities) for all groups of size ...
The Pareto distribution, named after the Italian civil engineer, economist, and sociologist Vilfredo Pareto, [2] is a power-law probability distribution that is used in description of social, quality control, scientific, geophysical, actuarial, and many other types of observable phenomena; the principle originally applied to describing the distribution of wealth in a society, fitting the trend ...
A significant aspect of the Pareto frontier in economics is that, at a Pareto-efficient allocation, the marginal rate of substitution is the same for all consumers. [5] A formal statement can be derived by considering a system with m consumers and n goods, and a utility function of each consumer as = where = (,, …,) is the vector of goods, both for all i.
In a random network the maximum degree, or the expected largest hub, scales as k max ~ log N, where N is the network size, a very slow dependence. In contrast, in scale-free networks the largest hub scales as k max ~ ∼N 1/(γ−1) indicating that the hubs increase polynomically with the size of the network.
A Canadian woman allegedly attempted to smuggle 22 pounds of methamphetamine wrapped as Christmas presents through a New Zealand airport on Sunday, Dec. 8.
In statistics, the generalized Pareto distribution (GPD) is a family of continuous probability distributions.It is often used to model the tails of another distribution. It is specified by three parameters: location , scale , and shape
After a childhood behind the Iron Curtain, Angela Merkel served as Chancellor of a united Germany for 16 years, becoming the most powerful woman in the world while dealing with its most powerful men.