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 …

Mean-VaR portfolio optimization: A nonparametric approach

KT Lwin, R Qu, BL MacCarthy - European Journal of Operational Research, 2017 - Elsevier
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 …

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 …

Optimization with multivariate conditional value-at-risk constraints

N Noyan, G Rudolf - Operations research, 2013 - pubsonline.informs.org
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 …

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 …

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 …

Nonlinear chance constrained problems: optimality conditions, regularization and solvers

L Adam, M Branda - Journal of Optimization Theory and Applications, 2016 - Springer
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 …

Solving joint chance constrained problems using regularization and Benders' decomposition

L Adam, M Branda, H Heitsch, R Henrion - Annals of Operations Research, 2020 - Springer
We consider stochastic programs with joint chance constraints with discrete random
distribution. We reformulate the problem by adding auxiliary variables. Since the resulting …

Minimizing value-at-risk in single-machine scheduling

S Atakan, K Bülbül, N Noyan - Annals of Operations Research, 2017 - Springer
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 …

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 …