1993
DOI: 10.1016/0098-1354(93)80025-i
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Design optimization of stochastic flexibility

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Cited by 142 publications
(69 citation statements)
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“…We applied this method to a chemical complex, where the results showed that independent -measures of flexibility and reliability can be somewhat misleading when interactions are not accounted for between the two. We also applied our methods to characterize the flexibility of multiproduct batch plants that exhibit uncertainties in the product demands and equipment failure (Straub and Grossmann, 1992b). We exploited the structure of the problem by showing that for the case of normal distributions for the demands, the multiple integral for the stochastic flexibility can be reduced to a one-dimensional integral.…”
Section: Design Optimization Of Stochastic Flexibilitymentioning
confidence: 99%
See 1 more Smart Citation
“…We applied this method to a chemical complex, where the results showed that independent -measures of flexibility and reliability can be somewhat misleading when interactions are not accounted for between the two. We also applied our methods to characterize the flexibility of multiproduct batch plants that exhibit uncertainties in the product demands and equipment failure (Straub and Grossmann, 1992b). We exploited the structure of the problem by showing that for the case of normal distributions for the demands, the multiple integral for the stochastic flexibility can be reduced to a one-dimensional integral.…”
Section: Design Optimization Of Stochastic Flexibilitymentioning
confidence: 99%
“…In addition, we developed models and solution methods to evaluate and optimize the stochastic flexibility in systems described by nonlinear models (Straub and Grossmann, 1992b). We showed that the placement of quadrature points inside the feasible region can be posed as a nonlinear programming problem which can then be readily extended to the maximization of stochastic flexibility subject to a cost constraint.…”
Section: Design Optimization Of Stochastic Flexibilitymentioning
confidence: 99%
“…Recently, the problem has been initiated as part of what is called 'design with uncertainties'. Straub and Grossmann (1993) and Pis-…”
Section: Uncertainty and Flexibility Of Contaminant Loadsmentioning
confidence: 99%
“…Straub and Grossmann (1993) proposed a nonlinear programming (NLP) model for maximizing the feasible operating region of a network with uncertain process parameters and used Generalized Benders Decomposition (GBD) (Geoffrion, 1972) to solve this problem. A similar approach was proposed by Pistikopoulos (1995) and applied by Ierapetritou et al (1996) and Acevedo and Pistikopoulos (1998) as a general algorithmic technique for solving a class of problems defined as process design and operations under uncertainty.…”
Section: Introductionmentioning
confidence: 99%