1956
DOI: 10.2307/1911630
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The Introduction of Risk into a Programming Model

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Cited by 492 publications
(194 citation statements)
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“…Note that there is a number of approaches to transform a stochastic program into a deterministic one. The Markowitz model was one of the first used in the agriculture production planning optimization under risk (Freund 1956). Markowitz formulated the portfolio problem as a choice of the mean and variance of the portfolio assets.…”
Section: Methodsmentioning
confidence: 99%
“…Note that there is a number of approaches to transform a stochastic program into a deterministic one. The Markowitz model was one of the first used in the agriculture production planning optimization under risk (Freund 1956). Markowitz formulated the portfolio problem as a choice of the mean and variance of the portfolio assets.…”
Section: Methodsmentioning
confidence: 99%
“…A risk-averse decision maker favors the utility of a risk-free present value over a risky present value with identical expected value. Approaches similar to our model have been applied numerous times, for example in Freund (1956), Fridgen & Müller (2009), Hanink (1985, Zimmermann (2008), and Zimmermann, Katzmarzik, & Kundisch (2008).…”
Section: Assumption 3: the Decision Maker Is Assumed To Be Risk-aversmentioning
confidence: 99%
“…D'autre part, nous supposons que les taux de rendement sont distribués selon une loi normale multivariée. Sous ces hypothèses, comme l'a démontré Freund (1956), le problème en (3) et (4) est équivalent à l'hypothèse de la moyenne-variance de la théorie du portefeuille, soit:…”
Section: Le Modèleunclassified