[HTML][HTML] Optimization under uncertainty and risk: Quadratic and copositive approaches

IM Bomze, M Gabl - European Journal of Operational Research, 2023 - Elsevier
Robust optimization and stochastic optimization are the two main paradigms for dealing with
the uncertainty inherent in almost all real-world optimization problems. The core principle of …

[PDF][PDF] Quadratic optimization through the lens of adjustable robust optimization

A Khademi, A Marandi - Optimization Online, 2024 - optimization-online.org
Quadratic optimization (QO) has been studied extensively in the literature due to its
applicability in many practical problems. While practical, it is known that QO problems are …

[PDF][PDF] A novel algorithm for a broad class of nonconvex optimization problems

D Bertsimas, D de Moor, D den Hertog… - Optimization …, 2023 - optimization-online.org
In this paper, we propose a new global optimization approach for solving nonconvex
optimization problems in which the nonconvex components are sums of products of convex …

LP-based approximations for disjoint bilinear and two-stage adjustable robust optimization

O El Housni, A Foussoul, V Goyal - Mathematical Programming, 2023 - Springer
We consider the class of disjoint bilinear programs max {x T y∣ x∈ X, y∈ Y} where X and Y
are packing polytopes. We present an O (log log m 1 log m 1 log log m 2 log m 2) …

Dual approach for two-stage robust nonlinear optimization

FJCT De Ruiter, J Zhen… - Operations …, 2023 - pubsonline.informs.org
Adjustable robust minimization problems where the objective or constraints depend in a
convex way on the adjustable variables are generally difficult to solve. In this paper, we …

[PDF][PDF] An extension of the Reformulation-Linearization Technique to nonlinear optimization

J Zhen, D de Moor, D den Hertog - Optimization, 2021 - optimization-online.org
We introduce a novel Reformulation-Perspectification Technique (RPT) to obtain convex
approximations of nonconvex continuous optimization problems. RPT consists of two steps …

Robust actionable prescriptive analytics

L Chen, M Sim, X Zhang, L Zhao… - Available at SSRN …, 2022 - papers.ssrn.com
We propose a new robust actionable prescriptive analytics framework that leverages past
data and side information to minimize a risk-based objective function under distributional …

[HTML][HTML] Adjustability in robust linear optimization

N Wei, P Zhang - Mathematical Programming, 2024 - Springer
We investigate the concept of adjustability—the difference in objective values between two
types of dynamic robust optimization formulations: one where (static) decisions are made …

Pareto Adaptive Robust Optimality via a Fourier–Motzkin Elimination lens

D Bertsimas, SCM ten Eikelder, D den Hertog… - Mathematical …, 2024 - Springer
We formalize the concept of Pareto Adaptive Robust Optimality (PARO) for linear two-stage
Adaptive Robust Optimization (ARO) problems, with fixed continuous recourse. A worst-case …

A point-wise minimization model for data envelopment analysis considering environmental variables

S Cai, W Jiang, L Wei - Journal of Management Analytics, 2023 - Taylor & Francis
Environmental variables are widely recognized as a cause of differences in efficiency
measurement. However, the existing literature on data envelopment analysis (DEA) in …