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Advances and applications of chance-constrained approaches to systems optimisation under uncertainty
A Geletu, M Klöppel, H Zhang, P Li - International Journal of …, 2013 - Taylor & Francis
A chance-constrained optimisation (CCOPT) model has a dual goal: guaranteeing
performance as well as system reliability under uncertainty. The beginning of CCOPT …
performance as well as system reliability under uncertainty. The beginning of CCOPT …
Mean-VaR portfolio optimization: A nonparametric approach
Portfolio optimization involves the optimal assignment of limited capital to different available
financial assets to achieve a reasonable trade-off between profit and risk. We consider an …
financial assets to achieve a reasonable trade-off between profit and risk. We consider an …
An inner-outer approximation approach to chance constrained optimization
A Geletu, A Hoffmann, M Kloppel, P Li - SIAM Journal on Optimization, 2017 - SIAM
Nonlinear chance constrained optimization (CCOPT) problems are known to be difficult to
solve. This work proposes a smooth approximation approach consisting of an inner and an …
solve. This work proposes a smooth approximation approach consisting of an inner and an …
Optimization with multivariate conditional value-at-risk constraints
For many decision-making problems under uncertainty, it is crucial to develop risk-averse
models and specify the decision makers' risk preferences based on multiple stochastic …
models and specify the decision makers' risk preferences based on multiple stochastic …
A tractable approximation of non-convex chance constrained optimization with non-Gaussian uncertainties
A Geletu, M Klöppel, A Hoffmann, P Li - Engineering Optimization, 2015 - Taylor & Francis
Chance constrained optimization problems in engineering applications possess highly
nonlinear process models and non-convex structures. As a result, solving a nonlinear non …
nonlinear process models and non-convex structures. As a result, solving a nonlinear non …
Recent developments in computational approaches to optimization under uncertainty and application in process systems engineering
A Geletu, P Li - ChemBioEng reviews, 2014 - Wiley Online Library
The major objective of this paper is to give concise summary and brief discussions on latest
developments of optimization methods under uncertainty in process systems engineering …
developments of optimization methods under uncertainty in process systems engineering …
Nonlinear chance constrained problems: optimality conditions, regularization and solvers
We deal with chance constrained problems with differentiable nonlinear random functions
and discrete distribution. We allow nonconvex functions both in the constraints and in the …
and discrete distribution. We allow nonconvex functions both in the constraints and in the …
Solving joint chance constrained problems using regularization and Benders' decomposition
We consider stochastic programs with joint chance constraints with discrete random
distribution. We reformulate the problem by adding auxiliary variables. Since the resulting …
distribution. We reformulate the problem by adding auxiliary variables. Since the resulting …
Minimizing value-at-risk in single-machine scheduling
The vast majority of the machine scheduling literature focuses on deterministic problems in
which all data is known with certainty a priori. In practice, this assumption implies that the …
which all data is known with certainty a priori. In practice, this assumption implies that the …
On reducing a quantile optimization problem with discrete distribution to a mixed integer programming problem
AI Kibzun, AV Naumov, VI Norkin - Automation and Remote Control, 2013 - Springer
We propose an equivalent reduction of the quantile optimization problem with a discrete
distribution of random parameters to a partially integer programming problem of large …
distribution of random parameters to a partially integer programming problem of large …