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In this study, we consider two classes of multicriteria two-stage stochastic programs in finite probability spaces with multivariate risk constraints. The first-stage problem features a multivariate stochastic benchmarking constraint based…

最优化与控制 · 数学 2020-06-02 Nilay Noyan , Merve Merakli , Simge Kucukyavuz

We consider a multiperiod stochastic capacitated facility location problem under uncertain demand and budget in each period. Using a scenario tree representation of the uncertainties, we formulate a multistage stochastic integer program to…

最优化与控制 · 数学 2022-07-19 Xian Yu , Siqian Shen

We consider a risk-averse stochastic capacity planning problem under uncertain demand in each period. Using a scenario tree representation of the uncertainty, we formulate a multistage stochastic integer program to adjust the capacity…

最优化与控制 · 数学 2024-11-05 Xian Yu , Siqian Shen

For many real-world decision-making problems subject to uncertainty, it may be essential to deal with multiple and often conflicting objectives while taking the decision-makers' risk preferences into account. Conditional value-at-risk…

最优化与控制 · 数学 2023-02-14 Najmesadat Nazemi , Sophie N. Parragh , Walter J. Gutjahr

Two-stage stochastic programming is a popular framework for optimization under uncertainty, where decision variables are split between first-stage decisions, and second-stage (or recourse) decisions, with the latter being adjusted after…

最优化与控制 · 数学 2024-03-19 Antonio Alcántara , Carlos Ruiz , Calvin Tsay

In networks, there are often more than one source of capacity. The capacities can be permanently or temporarily owned by the decision maker. Depending on the nature of sources, we identify the permanent capacity, spot market capacity and…

最优化与控制 · 数学 2017-02-10 Majid Taghavi , Kai Huang

Multiobjective stochastic programming is a field well located to tackle problems arising in emergencies, given that uncertainty and multiple objectives are usually present in such problems. A new concept of solution is proposed in this…

最优化与控制 · 数学 2021-02-08 Javier León , Justo Puerto , Begoña Vitoriano

Bayesian optimization is a popular tool for data-efficient optimization of expensive objective functions. In real-life applications like engineering design, the designer often wants to take multiple objectives as well as input uncertainty…

人工智能 · 计算机科学 2022-02-28 J. Qing , I. Couckuyt , T. Dhaene

Real-world scenarios frequently involve multi-objective data-driven optimization problems, characterized by unknown problem coefficients and multiple conflicting objectives. Traditional two-stage methods independently apply a machine…

机器学习 · 计算机科学 2024-06-04 Peng Li , Lixia Wu , Chaoqun Feng , Haoyuan Hu , Lei Fu , Jieping Ye

In many real-world optimization problems, more than one objective plays a role and input parameters are subject to uncertainty. In this paper, motivated by applications in disaster relief and public facility location, we model and solve a…

最优化与控制 · 数学 2020-04-24 Sophie N. Parragh , Fabien Tricoire , Walter Gutjahr

Contextual stochastic optimization is an advanced methodology to model uncertainty in the presence of contextual information during decision planning processes. Although classical methodologies focus on minimizing the expectation of a…

最优化与控制 · 数学 2025-11-24 Man Yiu Tsang , Tony Sit , Hoi Ying Wong

Optimal inventory leads to stochastic optimization problems where deterministic delivery decisions have to be made in advance of stochastic demand realizations. Similarly, risk deposits have to be given before the random outcomes of…

最优化与控制 · 数学 2025-11-18 Andreas H. Hamel , Andreas Löhne

Finding robust solutions of an optimization problem is an important issue in practice, and various concepts on how to define the robustness of a solution have been suggested. The idea of recoverable robustness requires that a solution can…

最优化与控制 · 数学 2016-04-07 Emilio Carrizosa , Marc Goerigk , Anita Schöbel

Transmission system operators employ reserves to deal with unexpected variations of demand and generation to guarantee the security of supply. The French transmission system operator RTE dynamically sizes the required margins using a…

最优化与控制 · 数学 2024-05-14 Jonathan Dumas

Multi-stage stochastic programming is a well-established framework for sequential decision making under uncertainty by seeking policies that are fully adapted to the uncertainty. Often such flexible policies are not desirable, and the…

最优化与控制 · 数学 2024-08-06 Beste Basciftci , Shabbir Ahmed , Nagi Gebraeel

In this work, we propose a novel method to tackle the problem of multiobjective optimization under parameteric uncertainties, by considering the Conditional Pareto Sets and Conditional Pareto Fronts. Based on those quantities we can define…

最优化与控制 · 数学 2026-01-15 Victor Trappler , Céline Helbert , Rodolphe Le Riche

In the aftermath of a hurricane, humanitarian logistics plays a critical role in delivering relief items to the affected areas in a timely fashion. This paper proposes a novel stochastic lookahead framework that implements a two-stage…

最优化与控制 · 数学 2020-08-04 Yanbin Chang , Yongjia Song , Burak Eksioglu

Multi-objective optimization is central to many engineering and machine learning applications, where multiple objectives must be optimized in balance. While multi-gradient based optimization methods combine these objectives in each step,…

最优化与控制 · 数学 2026-05-13 Trang H. Tran , Luis Nunes Vicente

In this paper we analyze the effect of two modelling approaches for supply planning problems under uncertainty: two-stage stochastic programming (SP) and robust optimization (RO). The comparison between the two approaches is performed…

最优化与控制 · 数学 2016-11-22 Francesca Maggioni , Florian Potra , Marida Bertocchi

Disaster management is a complex problem demanding sophisticated modeling approaches. We propose utilizing a hybrid method involving inverse optimization to parameterize the cost functions for a road network's traffic equilibrium problem…

最优化与控制 · 数学 2021-10-04 Stephanie Allen , Daria Terekhov , Steven A. Gabriel
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