Bounds in multi-horizon stochastic programs

In this paper, we present bounds for multi-horizon stochastic optimization problems , a class of problems introduced in Kaut et al. (Comput Manag Sci 11:179–193, 2014 ) relevant in many industry-life applications typically involving strategic and operational decisions on two different time scales. A...

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Vydáno v:Annals of operations research Ročník 292; číslo 2; s. 605 - 625
Hlavní autoři: Maggioni, Francesca, Allevi, Elisabetta, Tomasgard, Asgeir
Médium: Journal Article
Jazyk:angličtina
Vydáno: New York Springer US 01.09.2020
Springer
Springer Nature B.V
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ISSN:0254-5330, 1572-9338
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Shrnutí:In this paper, we present bounds for multi-horizon stochastic optimization problems , a class of problems introduced in Kaut et al. (Comput Manag Sci 11:179–193, 2014 ) relevant in many industry-life applications typically involving strategic and operational decisions on two different time scales. After providing three general mathematical formulations of a multi-horizon stochastic program, we extend the definition of the traditional Expected Value problem and Wait-and-See problem from stochastic programming in a multi-horizon framework. New measures are introduced allowing to quantify the importance of the uncertainty at both strategic and operational levels. Relations among the solution approaches are then determined and chain of inequalities provided. Numerical experiments based on an energy planning application are finally presented.
Bibliografie:ObjectType-Article-1
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content type line 14
ISSN:0254-5330
1572-9338
DOI:10.1007/s10479-019-03244-9