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Pareto Efficient Frontier 1024x1024
Pareto may refer to: People * Vilfredo Pareto (1848–1923), Italian economist, political scientist, and philosopher, works named for him include: ** Pareto analysis, a statistical analysis tool in problem solving **Pareto distribution, a power-law probability distribution **Pareto efficiency **Pareto front, the set of all Pareto efficient solutions **Pareto principle, or the 80-20 rule * Bartolomeo Pareto, medieval priest and cartographer from Genoa * Graziella Pareto (1889–1973), Catalan soprano * Lorenzo Pareto (1800–1865), Italian geologist and statesman * Paula Pareto (born 1986), Argentine judoka * Benedetto Pareto, builder of the Shrine of Nostra Signora della Guardia in Liguria, Italy Other uses * Pareto, Piedmont, a town in Italy * Pareto Group, a Norwegian finance company See also * Paret, a surname * Pereto, a town in Italy * Perito Perito ( Cilentan: ''Prito'') is a town and ''comune'' in the province of Salerno in the Campania region of south-western Ita ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pareto Front
In multi-objective optimization, the Pareto front (also called Pareto frontier or Pareto curve) is the set of all Pareto efficient solutions. The concept is widely used in engineering. It allows the designer to restrict attention to the set of efficient choices, and to make tradeoffs within this set, rather than considering the full range of every parameter. Definition The Pareto frontier, ''P''(''Y''), may be more formally described as follows. Consider a system with function f: X \rightarrow \mathbb^m, where ''X'' is a compact set of feasible decisions in the metric space \mathbb^n, and ''Y'' is the feasible set of criterion vectors in \mathbb^m, such that Y = \. We assume that the preferred directions of criteria values are known. A point y^ \in \mathbb^m is preferred to (strictly dominates) another point y^ \in \mathbb^m, written as y^ \succ y^. The Pareto frontier is thus written as: : P(Y) = \. Marginal rate of substitution A significant aspect of the Pareto frontie ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Vilfredo Pareto
Vilfredo Federico Damaso Pareto ( , , , ; born Wilfried Fritz Pareto; 15 July 1848 – 19 August 1923) was an Italian polymath (civil engineer, sociologist, economist, political scientist, and philosopher). He made several important contributions to economics, particularly in the study of income distribution and in the analysis of individuals' choices. He was also responsible for popularising the use of the term "elite" in social analysis. He introduced the concept of Pareto efficiency and helped develop the field of microeconomics. He was also the first to discover that income follows a Pareto distribution, which is a power law probability distribution. The Pareto principle was named after him, and it was built on his observations that 80% of the wealth in Italy belonged to about 20% of the population. He also contributed to the fields of sociology and mathematics. According to the mathematician Benoit Mandelbrot and Richard L. Hudson: Biography Pareto was born of an e ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pareto Analysis
Pareto analysis is a formal technique useful where many possible courses of action are competing for attention. In essence, the problem-solver estimates the benefit delivered by each action, then selects a number of the most effective actions that deliver a total benefit reasonably close to the maximal possible one. Pareto analysis is a creative way of looking at causes of problems because it helps stimulate thinking and organize thoughts. However, it can be limited by its exclusion of possibly important problems which may be small initially, but will grow with time. It should be combined with other analytical tools such as failure mode and effects analysis and fault tree analysis for example. This technique helps to identify the top portion of causes that need to be addressed to resolve the majority of problems. Once the predominant causes are identified, then tools like the Ishikawa diagram or Fish-bone Analysis can be used to identify the root causes of the problems. While it ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pareto Distribution
The Pareto distribution, named after the Italian civil engineer, economist, and sociologist Vilfredo Pareto ( ), 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 that a large portion of wealth is held by a small fraction of the population. The Pareto principle or "80-20 rule" stating that 80% of outcomes are due to 20% of causes was named in honour of Pareto, but the concepts are distinct, and only Pareto distributions with shape value () of log45 ≈ 1.16 precisely reflect it. Empirical observation has shown that this 80-20 distribution fits a wide range of cases, including natural phenomena and human activities. Definitions If ''X'' is a random variable with a Pareto (Type I) distribution, then the probability that ''X'' is ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pareto Efficiency
Pareto efficiency or Pareto optimality is a situation where no action or allocation is available that makes one individual better off without making another worse off. The concept is named after Vilfredo Pareto (1848–1923), Italian civil engineer and economist, who used the concept in his studies of economic efficiency and income distribution. The following three concepts are closely related: * Given an initial situation, a Pareto improvement is a new situation where some agents will gain, and no agents will lose. * A situation is called Pareto-dominated if there exists a possible Pareto improvement. * A situation is called Pareto-optimal or Pareto-efficient if no change could lead to improved satisfaction for some agent without some other agent losing or, equivalently, if there is no scope for further Pareto improvement. The Pareto front (also called Pareto frontier or Pareto set) is the set of all Pareto-efficient situations. Pareto originally used the word "optimal" for t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pareto Principle
The Pareto principle states that for many outcomes, roughly 80% of consequences come from 20% of causes (the "vital few"). Other names for this principle are the 80/20 rule, the law of the vital few, or the principle of factor sparsity. Management consultant Joseph M. Juran developed the concept in the context of quality control and improvement after reading the works of Italian sociologist and economist Vilfredo Pareto, who wrote about the 80/20 connection while teaching at the University of Lausanne. In his first work, ''Cours d'économie politique'', Pareto showed that approximately 80% of the land in the Kingdom of Italy was owned by 20% of the population. The Pareto principle is only tangentially related to the Pareto efficiency. Mathematically, the 80/20 rule is roughly described by a power law distribution (also known as a Pareto distribution) for a particular set of parameters. Many natural phenomena distribute according to power law statistics. It is an adage of busin ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bartolomeo Pareto
Bartolomeo Pareto was a medieval priest and cartographer from Genoa who is best known for his sole surviving work, a 1455 nautical chart of the known world. The chart is highly ornate and is notable for its depiction of Antillia, a phantom island said to exist in the Atlantic Ocean. Thought to have been lost in the mid-1800s, the Italian geographer Pietro Amat di San Filippo reported having located it in a storage room in the library of the Roman College The Roman College ( la, Collegium Romanum, it, Collegio Romano) was a school established by St. Ignatius of Loyola in 1551, just 11 years after he founded the Society of Jesus (Jesuits). It quickly grew to include classes from elementary school t ... in 1877. Notes 15th-century Genoese people 15th-century Italian Roman Catholic priests 15th-century Italian cartographers {{Italy-bio-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Graziella Pareto
Engràcia Pareto Homs (6 May 1889 – 1 September 1973), better known as Graziella Pareto, was a Catalan soprano leggiero, one of the leading sopranos of the inter-war years. She is considered one of the great coloratura sopranos of the "Spanish School" of the early 20th century, alongside Maria Barrientos, Maria Galvany and Mercedes Capsir. Biography Pareto was born in Barcelona, Spain. She studied in Milan, and made her stage debut in Barcelona, as Micaela in Carmen in 1906, and in Madrid, in 1908, as Amina in ''La sonnambula''. She made her debut at La Scala, as Gilda from Rigoletto in 1914. She appeared in Paris, London, Vienna, and St Petersburg, and had a long association with the Teatro Colón in Buenos Aires, where she sang from 1909 until 1927, also appearing with the Chicago Opera Company from 1921 to 1922. Her best roles included: Rosina, Norina, Lucia, Juliette, Ophélie, Leila, and Lakmé. She retired to Naples, with her second husband, Dr Nando Arena ( ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lorenzo Pareto
Lorenzo Nicolò Pareto (Genoa, 6 December 1800 – Genoa, 19 June 1865) was an Italian geologist and statesman. As a man of science, he is considered one of the fathers of modern geology. A member of the Italian National Academy of Sciences, he is credited with naming the Villafranchian age, a European land mammal age between 3 and 2 million years ago overlapping the end of the Pliocene era and beginning of the Pleistocene era. As a politician, he is remembered as a member of Giovine Italia and a patriot during the period of Italian unification. He was the President of the Chamber of Deputies of the 2nd and 3rd legislatures of Kingdom of Sardinia, and served as foreign minister in the cabinet of Italian writer and statesman Cesare Balbo, first constitutional prime minister of Piedmont it, Piemontese , population_note = , population_blank1_title = , population_blank1 = , demographics_type1 = , demographics1_footnotes = , demographics1_title1 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Paula Pareto
Paula Belén Pareto (born 16 January 1986) is an Argentine retired judoka and physician. She was the flag bearer for her country at the closing ceremony of the 2016 Summer Olympics held in Rio de Janeiro, Brazil. She competed at the 2020 Summer Olympics. Biography Paula, nicknamed "La Peque" (The small one), was born in San Fernando, Argentina. She lives with her parents in Tigre, close to the capital city. She began swimming at the age of four, and a year later, she took up gymnastics. Her inspiration for judo arose when she was 9, and her younger brother Marco came home from school beaten up. Her father, Aldo, used to practice judo when he was young, so he decided to send Marco to a judo club. Paula was curious and wanted to go too. Her first judo club was Club San Fernando. She soon won her first tournament, and when she decided to continue practicing judo, she moved to bigger Club Estudiantes de La Plata. First years she competed in the −44 kg division but later move ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Shrine Of Nostra Signora Della Guardia
The Shrine of Nostra Signora della Guardia ("Our Lady of the Watch") is a Roman Catholic place of pilgrimage located on the top of Monte Figogna (804 m asl) in the Municipality of Ceranesi, about from the city of Genoa, in the northwest of Italy. It is the most important Marian shrine in Liguria. The name “Guardia” in Italian means “watch”, and the shrine is so called because in the Middle Ages Mount Figogna was a strategic observation station for monitoring the movement of armies along the Valpolcevera and of ships on the sea in the approaches to Genoa. From the pavement in front of the shrine, on a clear day, it is possible to look over all the Polcevera valley below, part of the city of Genoa, and the Ligurian Italian Riviera, Riviera. On a very clear day, mainly in winter, the skyline of the mountains of the French island of Corsica can also be seen. The shrine is the destination of pilgrims from Genoa and from and all over Italy. The cult has been spread throughout ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pareto, Piedmont
Pareto is a ''comune'' (municipality) in the Province of Alessandria in the Italian region Piedmont, located about southeast of Turin and about southwest of Alessandria. Pareto borders the following municipalities: Cartosio, Giusvalla, Malvicino, Mioglia, Ponzone, Sassello, and Spigno Monferrato. The village is located on a steep hill, almost 500 meters above sea level. The name of the village has been mistakenly interpreted according to a paretimology that connects it with Latin ''piretus'', 'pear (tree) orchard'. This is evidently a paretymology, deriving, instead, the toponym from the Indo-European root ''*br- / *bar-'', with the meaning of 'rock', 'stone', 'hill', 'mountain', 'slope', = Latin ''pǎrǐēs'', 'mountain face', 'rock wall'. The toponym would have originated in Indo-European times (''Par-eto'' ~ ''Par-'' < PIE ''*br- / *bar-'', 'stone', 'hill', 'mountain', 'slope', + ''-eto'' [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
