Distributionally robust production and replenishment problem for hydrogen supply chains

Deng, Menghua; Bian, Bomin; Zhou, Yanlin; Ding, Jianpeng

doi:10.1016/j.tre.2023.103293

Cited by 2 publications

(1 citation statement)

References 47 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In supply chains, they are employed to optimize various aspects such as production planning, inventory management, logistics, and transportation. Deng et al, 2023;Wang et al, 2023). These examples represent a fraction of the wide-ranging applications of robust methods.…”

Section: Introductionmentioning

confidence: 99%

Robust Shape Matrix Estimation for High-Dimensional Compositional Data with Application to Microbial Inter-Taxa Analysis

Li¹,

Srinivasan²,

Xue³

et al. 2024

STAT SINICA

View full text Add to dashboard Cite

The Robust Satisficing (RS) model is an emerging approach to robust optimization, offering streamlined procedures and robust generalization across various applications. However, the statistical theory of RS remains unexplored in the literature. This paper fills in the gap by comprehensively analyzing the theoretical properties of the RS model. Notably, the RS structure offers a more straightforward path to deriving statistical guarantees compared to the seminal Distributionally Robust Optimization (DRO), resulting in a richer set of results. In particular, we establish two-sided confidence intervals for the optimal loss without the need to solve a minimax optimization problem explicitly. We further provide finite-sample generalization error bounds for the RS optimizer. Importantly, our results extend to scenarios involving distribution shifts, where discrepancies exist between the sampling and target distributions. Our numerical experiments show that the RS model consistently outperforms the baseline empirical risk minimization in small-sample regimes and under distribution shifts. Furthermore, compared to the DRO model, the RS model exhibits lower sensitivity to hyperparameter tuning, highlighting its practicability for robustness considerations.

show abstract

Section: Introductionmentioning

confidence: 99%