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  2. Multi-objective optimization - Wikipedia

    en.wikipedia.org/wiki/Multi-objective_optimization

    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.

  3. Pareto front - Wikipedia

    en.wikipedia.org/wiki/Pareto_front

    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.

  4. Efficient approximately fair item allocation - Wikipedia

    en.wikipedia.org/wiki/Efficient_approximately...

    There is a finite set of objects, denoted by M.There are n agents. Each agent i has a value-function V i, that assigns a value to each subset of objects.The goal is to partition M into n subsets, X 1,...,X n, and give each subset X i to agent i, such that the allocation is both Pareto-efficient and approximately fair.

  5. Pareto chart - Wikipedia

    en.wikipedia.org/wiki/Pareto_chart

    A Pareto chart is a type of chart that contains both bars and a line graph, where individual values are represented in descending order by bars, and the cumulative total is represented by the line. The chart is named for the Pareto principle , which, in turn, derives its name from Vilfredo Pareto , a noted Italian economist.

  6. Pareto distribution - Wikipedia

    en.wikipedia.org/wiki/Pareto_distribution

    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 ...

  7. Pareto efficiency - Wikipedia

    en.wikipedia.org/wiki/Pareto_efficiency

    Pareto efficiency does not require a totally equitable distribution of wealth, which is another aspect that draws in criticism. [31] An economy in which a wealthy few hold the vast majority of resources can be Pareto-efficient. A simple example is the distribution of a pie among three people.

  8. Pareto index - Wikipedia

    en.wikipedia.org/wiki/Pareto_index

    For example, if the population is 100 and the total wealth is $100x m, then together q=20 people have px m =$80x m. Hence, each of these people has x=p x m /q=$4 x m . One of the simplest characterizations of the Pareto distribution, when used to model the distribution of incomes, says that the proportion of the population whose income exceeds ...

  9. MongoDB - Wikipedia

    en.wikipedia.org/wiki/MongoDB

    In addition, MongoDB Inc. offers proprietary licenses for MongoDB. The last versions licensed as AGPL version 3 are 4.0.3 (stable) and 4.1.4. [53] MongoDB has been removed from the Debian, Fedora and Red Hat Enterprise Linux distributions because of the licensing change. Fedora determined that the SSPL version 1 is not a free software license ...