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Sequential decision problems in applications such as manipulation in warehouses, multi-step meal preparation, and routing in autonomous vehicle networks often involve reasoning about uncertainty, planning over discrete modes as well as…

Artificial Intelligence · Computer Science 2019-06-24 Shushman Choudhury , Mykel J. Kochenderfer

In this paper, we consider an integrated MSP-MDP framework which captures features of Markov decision process (MDP) and multistage stochastic programming (MSP). The integrated framework allows one to study a dynamic decision-making process…

Optimization and Control · Mathematics 2025-09-29 Zhiyao Yang , Zhiping Chen , Huifu Xu

Edge computing has emerged as a key technology to reduce network traffic, improve user experience, and enable various Internet of Things applications. From the perspective of a service provider (SP), how to jointly optimize the service…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-01 Duong Tung Nguyen , Hieu Trung Nguyen , Ni Trieu , Vijay K. Bhargava

Multistage stochastic programming provides a modeling framework for sequential decision-making problems that involve uncertainty. One typically overlooked aspect of this methodology is how uncertainty is incorporated into modeling.…

Optimization and Control · Mathematics 2021-09-24 Juyoung Wang , Mucahit Cevik , Merve Bodur

Truckload procurement plays a vital role in integrated container logistics, particularly under the uncertainties of container flow and market conditions. We formulate the operational volume allocation problem in drayage procurement as a…

Optimization and Control · Mathematics 2025-05-06 Georgios Vassos , Richard Lusby , Pierre Pinson

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…

Optimization and Control · Mathematics 2016-11-22 Francesca Maggioni , Florian Potra , Marida Bertocchi

This study focuses on relay transport carriers (RTCs) that contract with hub providers to lease hub capacity and employ relay transportation via hubs. It enables long-haul freight shipments to be transported by multiple short-haul drivers…

Optimization and Control · Mathematics 2024-06-25 Xiaoyue Liu , Jingze Li , Mathieu Dahan , Benoit Montreuil

The frequency of wildfire disasters has surged five-fold in the past 50 years due to climate change. Preemptive de-energization is a potent strategy to mitigate wildfire risks but substantially impacts customers. We propose a multistage…

Optimization and Control · Mathematics 2024-04-10 Hanbin Yang , Noah Rhodes , Haoxiang Yang , Line Roald , Lewis Ntaimo

Stochastic Programming is a powerful modeling framework for decision-making under uncertainty. In this work, we tackle two-stage stochastic programs (2SPs), the most widely used class of stochastic programming models. Solving 2SPs exactly…

Optimization and Control · Mathematics 2022-10-14 Justin Dumouchelle , Rahul Patel , Elias B. Khalil , Merve Bodur

We consider a multi-stage stochastic lot-sizing problem with service level constraints and supplier-driven product substitution. A firm has multiple products and it has the option to meet demand from substitutable products at a cost.…

Optimization and Control · Mathematics 2023-01-03 Narges Sereshti , Merve Bodur , James R. Luedtke

We study a class of multi-stage stochastic programs, which incorporate modeling features from Markov decision processes (MDPs). This class includes structured MDPs with continuous action and state spaces. We extend policy graphs to include…

Machine Learning · Computer Science 2026-04-09 David P. Morton , Oscar Dowson , Bernardo K. Pagnoncelli

This paper investigates inland port infrastructure investment planning under uncertain commodity demand conditions. A two-stage stochastic optimization is developed to model the impact of demand uncertainty on infrastructure planning and…

Optimization and Control · Mathematics 2022-08-12 Sanjeev Bhurtyal , Sarah Hernandez , Sandra Eksioglu , Manzi Yves

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…

Optimization and Control · Mathematics 2024-05-14 Jonathan Dumas

The growing prevalence of extreme weather events driven by climate change poses significant challenges to power system resilience. Infrastructure damage and prolonged power outages highlight the urgent need for effective grid-hardening…

Systems and Control · Electrical Eng. & Systems 2026-01-30 Sifat Chowdhury , Yihsu Chen , Yu Zhang

This paper proposes an algorithm to efficiently solve multistage stochastic programs with block separable recourse where each recourse problem is a multistage stochastic program with stage-wise independent uncertainty. The algorithm first…

Optimization and Control · Mathematics 2025-07-30 Nicolò Mazzi , Ken Mckinnon , Hongyu Zhang

Optimization problems involving sequential decisions in a stochastic environment were studied in Stochastic Programming (SP), Stochastic Optimal Control (SOC) and Markov Decision Processes (MDP). In this paper we mainly concentrate on SP…

Optimization and Control · Mathematics 2023-03-29 Guanghui Lan , Alexander Shapiro

Most decision-focused learning work has focused on single stage problems whereas many real-world decision problems are more appropriately modelled using multistage optimisation. In multistage problems contextual information is revealed over…

Optimization and Control · Mathematics 2025-05-29 Egon Peršak , Miguel F. Anjos

Significant outages from weather and climate extremes have highlighted the critical need for resilience-centered risk management of the grid. This paper proposes a multi-stage stochastic robust optimization (SRO) model that advances the…

Multiagent Systems · Computer Science 2022-05-24 Nariman L. Dehghani , Abdollah Shafieezadeh

This paper addresses the Service Network Design (SND) problem for a logistics service provider (LSP) operating in a multimodal freight transport network, considering uncertain travel times and limited truck fleet availability. A two-stage…

Optimization and Control · Mathematics 2026-03-27 Javier Durán-Micco , Bilge Atasoy

Decisions for a variable renewable resource generators commitment in the energy market are typically made in advance when little information is obtainable about wind availability and market prices. Much research has been published…

Optimization and Control · Mathematics 2021-03-09 Razan A. H. Al-Lawati , Jose L. Crespo-Vazquez , Tasnim Ibn Faiz , Xin Fang , Md. Noor-E-Alam