Stochastic programming in water management: A case study and a comparison of solution techniques.

*(English)*Zbl 0726.90048Summary: The present stage of developments in stochastic programming gives already a good base for real-life applications. The possibility of using alternative models is studied on a small-size but meaningful example connected with water management of a real-life water resource system in Eastern Czechoslovakia. Both of the considered conceptually different stochastic programming models take into account intercorrelations within a group of random parameters and provide comparable optimal decisions. At the same time, these models are used for comparison of existing numerical procedures for stochastic programming, namely, approximation schemes that result in large-size linear programs, stochastic quasigradient methods and special techniques for handling joint chance constraints.

##### MSC:

90B90 | Case-oriented studies in operations research |

90C90 | Applications of mathematical programming |

90C15 | Stochastic programming |

90-08 | Computational methods for problems pertaining to operations research and mathematical programming |

##### Keywords:

water management; real-life water resource system; approximation schemes; stochastic quasigradient methods; joint chance constraints##### Software:

MINOS
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\textit{J. Dupačová} et al., Eur. J. Oper. Res. 52, No. 1, 28--44 (1991; Zbl 0726.90048)

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