[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 …
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
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 …
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
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 …
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
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) …
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 …
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
We introduce a novel Reformulation-Perspectification Technique (RPT) to obtain convex
approximations of nonconvex continuous optimization problems. RPT consists of two steps …
approximations of nonconvex continuous optimization problems. RPT consists of two steps …
Robust actionable prescriptive analytics
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 …
data and side information to minimize a risk-based objective function under distributional …
[HTML][HTML] Adjustability in robust linear optimization
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 …
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 …
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 …
measurement. However, the existing literature on data envelopment analysis (DEA) in …