“One of the first applications of the simplex algorithm was to the determination of an adequate diet that was of least cost. In the fall of 1947, Jack Laderman of the Mathematical Tables Project of the National Bureau of Standards undertook, as a test of the newly proposed simplex method, the first large-scale computation in this field. It was a system with nine equations in seventy-seven unknowns. Using hand-operated desk calculators, approximately 120 man-days were required to obtain a solution. … The particular problem solved was one which had been studied earlier by George Stigler (who later became a Nobel Laureate) who proposed a solution based on the substitution of certain foods by others which gave more nutrition per dollar. He then examined a "handful" of the possible 510 ways to combine the selected foods. He did not claim the solution to be the cheapest but gave his reasons for believing that the cost per annum could not be reduced by more than a few dollars. Indeed, it turned out that Stigler's solution (expressed in 1945 dollars) was only 24 cents higher than the true minimum per year $39.69.”

cited in: John J. O'Connor & Edmund F.; Robertson (2003) " George Dantzig http://www-history.mcs.st-and.ac.uk/Biographies/Dantzig_George.html". in: MacTutor History of Mathematics archive, University of St Andrews.
Linear programming and extensions (1963)

Adopted from Wikiquote. Last update June 3, 2021. History

Help us to complete the source, original and additional information

Do you have more details about the quote "One of the first applications of the simplex algorithm was to the determination of an adequate diet that was of least c…" by George Dantzig?
George Dantzig photo
George Dantzig 9
American mathematician 1914–2005

Related quotes

E. W. Hobson photo

“The first period embraces the time between the first records of empirical determinations of the ratio of the circumference to the diameter of a circle until the invention of the Differential and Integral Calculus, in the middle of the seventeenth century. This period, in which the ideal of an exact construction was never entirely lost sight of, and was occasionally supposed to have been attained, was the geometrical period, in which the main activity consisted in the approximate determination of π by the calculation of the sides or the areas of regular polygons in- and circum-scribed to the circle. The theoretical groundwork of the method was the Greek method of Exhaustions. In the earlier part of the period the work of approximation was much hampered by the backward condition of arithmetic due to the fact that our present system of numerical notation had not yet been invented; but the closeness of the approximations obtained in spite of this great obstacle are truly surprising. In the later part of this first period methods were devised by which the approximations to the value of π were obtained which required only a fraction of the labour involved in the earlier calculations. At the end of the period the method was developed to so high a degree of perfection that no further advance could be hoped for on the lines laid down by the Greek Mathematicians; for further progress more powerful methods were required.”

E. W. Hobson (1856–1933) British mathematician

Source: Squaring the Circle (1913), pp. 10-11

David Fleming photo

“Large-scale problems do not require large-scale solutions; they require small-scale solutions within a large-scale framework.”

David Fleming (1940–2010) British activist

Energy and the Common Purpose, 3rd ed. (2007), p. 39 http://www.theleaneconomyconnection.net/downloads.html#TEQs

Wassily Leontief photo
Vasily Blyukher photo

“War as a whole, and each operation taken separately, are first of all mathematics and calculations.”

Vasily Blyukher (1889–1938) Soviet military commander

Quoted in Jonathan Fenby; Chiang Kai Shek: China's Generalissimo and the Nation He Lost

Thomas Hylland Eriksen photo
Leonid Kantorovich photo

“The concern of OR with finding an optimum decision, policy, or design is one of its essential characteristics. It does not seek merely to define a better solution to a problem than the one in use; it seeks the best solution… [It] can be characterized as the application of scientific methods, techniques, and tools to problems involving the operations of systems so as to provide those in control of the operations with optimum solutions to the problems.”

C. West Churchman (1913–2004) American philosopher and systems scientist

Source: 1940s - 1950s, Introduction to Operations Research (1957), p. 8, cited in: R.L. McCown (2001) "Learning to bridge the gap between science-based decision support and the practice of farming". In: Aust. J. Agric. Res., Vol 52, p. 560-561

Related topics