Data-driven chance constrained programs over Wasserstein balls

Z Chen, D Kuhn, W Wiesemann - Operations Research, 2024 - pubsonline.informs.org
We provide an exact deterministic reformulation for data-driven, chance-constrained
programs over Wasserstein balls. For individual chance constraints as well as joint chance …

Robust distortion risk measures

C Bernard, SM Pesenti, S Vanduffel - Mathematical Finance, 2024 - Wiley Online Library
The robustness of risk measures to changes in underlying loss distributions (distributional
uncertainty) is of crucial importance in making well‐informed decisions. In this paper, we …

Reinsurance games with two reinsurers: Tree versus chain

J Cao, D Li, VR Young, B Zou - European Journal of Operational Research, 2023 - Elsevier
This paper studies reinsurance contracting and competition in a continuous-time model with
ambiguity. The market consists of one insurer and two reinsurers, who apply a generalized …

Tractable reformulations of two-stage distributionally robust linear programs over the type-∞ Wasserstein ball

W **e - Operations Research Letters, 2020 - Elsevier
This paper studies a two-stage distributionally robust stochastic linear program under the
type-∞ Wasserstein ball by providing sufficient conditions under which the program can be …

Bowley vs. Pareto optima in reinsurance contracting

TJ Boonen, M Ghossoub - European Journal of Operational Research, 2023 - Elsevier
The notion of a Bowley optimum has gained recent popularity as an equilibrium concept in
problems of risk sharing and optimal reinsurance. In this paper, we examine the relationship …

ALSO-X and ALSO-X+: Better convex approximations for chance constrained programs

N Jiang, W **e - Operations Research, 2022 - pubsonline.informs.org
In a chance constrained program (CCP), decision makers seek the best decision whose
probability of violating the uncertainty constraints is within the prespecified risk level. As a …

ALSO-X#: Better convex approximations for distributionally robust chance constrained programs

N Jiang, W **e - Mathematical Programming, 2024 - Springer
This paper studies distributionally robust chance constrained programs (DRCCPs), where
the uncertain constraints must be satisfied with at least a probability of a prespecified …

Strong formulations for distributionally robust chance-constrained programs with left-hand side uncertainty under Wasserstein ambiguity

N Ho-Nguyen, F Kilinç-Karzan… - INFORMS Journal …, 2023 - pubsonline.informs.org
Distributionally robust chance-constrained programs (DR-CCPs) over Wasserstein
ambiguity sets exhibit attractive out-of-sample performance and admit big-M–based mixed …

[PDF][PDF] Tractable reformulations of distributionally robust two-stage stochastic programs with∞− Wasserstein distance

W **e - arxiv preprint arxiv:1908.08454, 2019 - researchgate.net
In the optimization under uncertainty, decision-makers first select a wait-and-see policy
before any realization of uncertainty and then place a here-and-now decision after the …

A Distributionally Robust Optimization for Reliability-Based Lane Reservation and Route Design Under Uncertainty

X Zhang, P Wu, C Chu, M Zhou - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
Lane reservation optimization is important in intelligent transportation systems. Most existing
studies are carried out under deterministic road conditions by assuming constant road travel …