An agricultural investment problem subject to probabilistic constraints

Motivated by a model introduced by Moiseev, we consider a problem of optimal investment into agricultural infrastructure (irrigation, storage) under uncertainty (demand, yield coefficients of soil). Unlike the risk-neutral approach of Moiseev, we formulate a risk-averse model based on joint probabil...

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Bibliographic Details
Published inComputational management science Vol. 19; no. 4; pp. 683 - 701
Main Authors El Karfi, Kawtar, Henrion, René, Mentagui, Driss
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.10.2022
Springer Nature B.V
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Summary:Motivated by a model introduced by Moiseev, we consider a problem of optimal investment into agricultural infrastructure (irrigation, storage) under uncertainty (demand, yield coefficients of soil). Unlike the risk-neutral approach of Moiseev, we formulate a risk-averse model based on joint probabilistic or chance constraints. We assume the random vector to obey a continuous Gaussian distribution. The probabilities of satisfying the demand of cereals and of not wasting excess harvest up to some given thresholds are calculated in dependence on the investment decisions in a multiperiod setting. Numerical results are presented for a small-dimensional example.
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ISSN:1619-697X
1619-6988
DOI:10.1007/s10287-022-00431-1