[HTML][HTML] Risk assessment and risk management: Review of recent advances on their foundation

T Aven - European journal of operational research, 2016 - Elsevier
Risk assessment and management was established as a scientific field some 30–40 years
ago. Principles and methods were developed for how to conceptualise, assess and manage …

Frameworks and results in distributionally robust optimization

H Rahimian, S Mehrotra - Open Journal of Mathematical Optimization, 2022 - numdam.org
The concepts of risk aversion, chance-constrained optimization, and robust optimization
have developed significantly over the last decade. The statistical learning community has …

Distributionally robust convex optimization

W Wiesemann, D Kuhn, M Sim - Operations research, 2014 - pubsonline.informs.org
Distributionally robust optimization is a paradigm for decision making under uncertainty
where the uncertain problem data are governed by a probability distribution that is itself …

Data-driven robust optimization

D Bertsimas, V Gupta, N Kallus - Mathematical Programming, 2018 - Springer
The last decade witnessed an explosion in the availability of data for operations research
applications. Motivated by this growing availability, we propose a novel schema for utilizing …

Recent advances in robust optimization: An overview

V Gabrel, C Murat, A Thiele - European journal of operational research, 2014 - Elsevier
This paper provides an overview of developments in robust optimization since 2007. It seeks
to give a representative picture of the research topics most explored in recent years …

Distributionally robust joint chance constraints with second-order moment information

S Zymler, D Kuhn, B Rustem - Mathematical Programming, 2013 - Springer
We develop tractable semidefinite programming based approximations for distributionally
robust individual and joint chance constraints, assuming that only the first-and second-order …

Theory and applications of robust optimization

D Bertsimas, DB Brown, C Caramanis - SIAM review, 2011 - SIAM
In this paper we survey the primary research, both theoretical and applied, in the area of
robust optimization (RO). Our focus is on the computational attractiveness of RO …

Worst-case conditional value-at-risk with application to robust portfolio management

S Zhu, M Fukushima - Operations research, 2009 - pubsonline.informs.org
This paper considers the worst-case Conditional Value-at-Risk (CVaR) in the situation
where only partial information on the underlying probability distribution is available. The …

[書籍][B] The science of risk analysis: Foundation and practice

T Aven - 2019 - taylorfrancis.com
This book provides a comprehensive demonstration of risk analysis as a distinct science
covering risk understanding, assessment, perception, communication, management …

Constructing uncertainty sets for robust linear optimization

D Bertsimas, DB Brown - Operations research, 2009 - pubsonline.informs.org
In this paper, we propose a methodology for constructing uncertainty sets within the
framework of robust optimization for linear optimization problems with uncertain parameters …