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This paper tackles the problem of finding optimal variable-height transport packaging. The goal is to reduce the empty space left in a box when shipping goods to customers, thereby saving on filler and reducing waste. We cast this problem…

最优化与控制 · 数学 2023-08-03 Alain Lehmann , Wilhelm Kleiminger , Hakim Invernizzi , Aurel Gautschi

In this paper, we introduce a mixed integer quadratic formulation for the congested variant of the partial set covering location problem, which involves determining a subset of facility locations to open and efficiently allocating customers…

最优化与控制 · 数学 2024-01-24 Alice Calamita , Ivana Ljubić , Laura Palagi

Intermodal logistics typically include the successive stages of intermodal shipment and last-mile delivery. We investigate this problem under a novel Logic-Based Benders Decomposition, which exploits the staged nature of the problem to…

最优化与控制 · 数学 2022-10-12 Ioannis Avgerinos , Ioannis Mourtos , Georgios Zois

We consider electricity capacity expansion models, which optimize investment and retirement decisions by minimizing both investment and operation costs. In order to provide credible support for planning and policy decisions, these models…

最优化与控制 · 数学 2025-01-08 Filippo Pecci , Jesse D. Jenkins

Periodic timetables are widely adopted in passenger railway operations due to their regular service patterns and well-coordinated train connections. However, fluctuations in passenger demand require varying train services across different…

最优化与控制 · 数学 2025-11-14 Zhiyuan Yao , Anita Schöbel , Lei Nie , Sven Jäger

The distribution network restoration problem is by nature a mixed integer and non-linear optimization problem due to the switching decisions and Optimal Power Flow (OPF) constraints, respectively. The link between these two parts involves…

最优化与控制 · 数学 2020-02-25 Hossein Sekhavatmanesh , Rachid Cherkaoui

Telecommunication networks frequently face technological advancements and need to upgrade their infrastructure. Adapting legacy networks to the latest technology requires synchronized technicians responsible for migrating the equipment. The…

最优化与控制 · 数学 2023-05-11 Maryam Daryalal , Hamed Pouya

Network design problems involve constructing edges in a transportation or supply chain network to minimize construction and daily operational costs. We study a stochastic version where operational costs are uncertain due to fluctuating…

最优化与控制 · 数学 2025-01-08 Dimitris Bertsimas , Ryan Cory-Wright , Jean Pauphilet , Periklis Petridis

Benders decomposition is widely used to solve large mixed-integer problems. This paper takes advantage of machine learning and proposes enhanced variants of Benders decomposition for solving two-stage stochastic security-constrained unit…

最优化与控制 · 数学 2023-11-21 Fouad Hasan , Amin Kargarian

Mixed integer Model Predictive Control (MPC) problems arise in the operation of systems where discrete and continuous decisions must be taken simultaneously to compensate for disturbances. The efficient solution of mixed integer MPC…

最优化与控制 · 数学 2024-04-09 Ilias Mitrai , Prodromos Daoutidis

Generation and Transmission Expansion Planning (GTEP) problems co-optimize generation and transmission expansion, enabling them to provide better planning decisions than traditional Generation Expansion Planning or Transmission Expansion…

最优化与控制 · 数学 2026-04-01 David L. Cole , Michael Lau , Xinliang Dai , Sambuddha Chakrabarti , Jesse D. Jenkins

Supply chain transportation operations often account for a large proportion of product total cost to market. Such operations can be optimized by solving the Logistics Service Network Design Problem (LSNDP), wherein a logistics service…

机器人学 · 计算机科学 2020-10-01 Simon Belieres , Mike Hewitt , Nicolas Jozefowiez , Frédéric Semet

The necessary decarbonization efforts in energy sectors entail the integration of flexibility assets, as well as increased levels of uncertainty for the planning and operation of power systems. To cope with this in a cost-effective manner,…

系统与控制 · 电气工程与系统科学 2024-09-25 Stefan Borozan , Spyros Giannelos , Paola Falugi , Alexandre Moreira , Goran Strbac

To meet sustainability goals and regulatory requirements, transit agencies worldwide are planning partial and full transitions to electric bus fleets. This paper presents a comprehensive and computationally efficient multi-period…

最优化与控制 · 数学 2025-12-29 Robin Legault , Filipe Cabral , Xu Andy Sun

This work presents a general framework for the operationally driven optimal siting and sizing of battery energy storage systems in power transmission networks, aimed at enhancing their resource adequacy. The approach considers multi-period…

系统与控制 · 电气工程与系统科学 2026-03-05 Ginevra Larroux , Matthieu Jacobs , Keyu Jia , Fabrizio Sossan , Mario Paolone

Energy systems planning models identify least-cost strategies for expansion and operation of energy systems and provide decision support for investment, planning, regulation, and policy. Most are formulated as linear programming (LP) or…

最优化与控制 · 数学 2025-01-08 Anna Jacobson , Filippo Pecci , Nestor Sepulveda , Qingyu Xu , Jesse Jenkins

Benders decomposition is one of the most applied methods to solve two-stage stochastic problems (TSSP) with a large number of scenarios. The main idea behind the Benders decomposition is to solve a large problem by replacing the values of…

最优化与控制 · 数学 2022-11-24 Cristian Ramírez-Pico , Ivana Ljubić , Eduardo Moreno

Many large-scale optimization problems decompose into a master problem and scenario subproblems, a structure that can be exploited by Benders decomposition. In Benders decomposition, each iteration may generate many cuts from scenario…

最优化与控制 · 数学 2026-04-29 Tim Donkiewicz , Oliver Gaul

Benders decomposition is a widely used method for solving large optimization problems, but its performance is often hindered by the repeated solution of subproblems. We propose a flexible and modular algorithmic framework for accelerating…

最优化与控制 · 数学 2025-08-05 Parth Brahmbhatt , David L. Cole , Victor M. Zavala , Styliani Avraamidou

The Two-dimensional Bin Packing Problem calls for packing a set of rectangular items into a minimal set of larger rectangular bins. Items must be packed with their edges parallel to the borders of the bins, cannot be rotated and cannot…

最优化与控制 · 数学 2019-09-17 Jean-François Côté , Mohamed Haouari , Manuel Iori
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