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Benders' decomposition (BD) is a framework for solving optimization problems by removing some variables and modeling their contribution to the original problem via so-called Benders cuts. While many advanced optimization techniques can be…

最优化与控制 · 数学 2025-12-18 Christopher Hojny , Cédric Roy

Facility Location (FL) problems as one of the most important problems in operations research aim to determine the location of a set of facilities in a way that the total costs, including costs of opening facilities and transportation costs,…

最优化与控制 · 数学 2021-04-23 Ali Akbar Sadat Asl , Ali Rouhani

We consider Benders decomposition for solving two-stage stochastic programs with complete recourse based on finite samples of the uncertain parameters. We define the Benders cuts binding at the final optimal solution or the ones…

最优化与控制 · 数学 2020-10-16 Huiwen Jia , Siqian Shen

The intelligent upgrading of metropolitan rail transit systems has made it feasible to implement demand-side management policies that integrate multiple operational strategies in practical operations. However, the tight interdependence…

最优化与控制 · 数学 2025-11-10 Lixing Yang , Yahan Lu , Jiateng Yin , Shadi Sharif Azadeh

In this paper, we consider the network slicing problem which attempts to map multiple customized virtual network requests (also called services) to a common shared network infrastructure and allocate network resources to meet diverse…

网络与互联网体系结构 · 计算机科学 2021-02-05 Wei-Kun Chen , Ya-Feng Liu , Yu-Hong Dai , Zhi-Quan Luo

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

We focus on designing combinatorial algorithms for the Capacitated Network Design problem (Cap-SNDP). The Cap-SNDP is the problem of satisfying connectivity requirements when edges have costs and hard capacities. We begin by showing that…

数据结构与算法 · 计算机科学 2015-03-19 MohammadTaghi Hajiaghayi , Rohit Khandekar , Guy Kortsarz , Zeev Nutov

Benders decomposition (BD) is a widely used solution approach for solving two-stage stochastic programs arising in real-world decision-making under uncertainty. However, it often suffers from slow convergence as the master problem grows…

最优化与控制 · 数学 2026-05-08 Haochen Cai , Xian Yu

The package shipment problem requires to optimally co-design paths for both packages and a heterogeneous fleet in a transit center network (TCN). Instances arising from the package delivery industry in China usually involve more than ten…

系统与控制 · 电气工程与系统科学 2022-02-09 Zhuolin Wang , Rongping Zhu , Jian-Ya Ding , Yu Yang , Keyou You

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 Multiple Depot Ring-Star Problem (MDRSP) is an important combinatorial optimization problem that arises in the context of optical fiber network design, and in applications pertaining to collecting data using stationary sensing devices…

数据结构与算法 · 计算机科学 2021-04-27 Kaarthik Sundar , Sivakumar Rathinam

Logistic service providers increasingly focus on two-echelon distribution systems to efficiently manage thousands of deliveries in urban environments. Effectively operating such systems requires designing cost-efficient delivery networks…

最优化与控制 · 数学 2025-02-13 Banu Ulusoy Dereli , Gerhard Hiermann , Maximilian Schiffer

The municipal solid waste system is a complex reverse logistic chain which comprises several optimisation problems. Although these problems are interdependent, i.e., the solution to one of the problems restricts the solution to the other,…

最优化与控制 · 数学 2024-03-29 Arthur Mahéo , Diego Rossit , Philip Kilby

We show how to extract alternative solutions for optimization problems solved by Benders Decomposition. In practice, alternative solutions provide useful insights for complex applications; some solvers do support generation of alternative…

最优化与控制 · 数学 2025-09-12 Matthew Viens , William E. Hart , Michael Ferris

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

Due to a substantial growth in the world waterborne trade volumes and drastic changes in the global climate accounted for CO2 emissions, the shipping companies need to escalate their operational and energy efficiency. Therefore, a…

最优化与控制 · 数学 2023-07-24 Jasashwi Mandal , Adrijit Goswami , Lakshman Thakur , Manoj Kumar Tiwari

We aim to derive effective lower bounds for the Discrete Cost Multicommodity Network Design Problem (DCMNDP). Given an undirected graph, the problem requires installing at most one facility on each edge such that a set of point-to-point…

最优化与控制 · 数学 2017-09-11 Nesrine Bakkar Ennaifer , Safa Bhar Layeb , Farah Mansour Zeghal

Many annotation problems in computer vision can be phrased as integer linear programs (ILPs). The use of standard industrial solvers does not to exploit the underlying structure of such problems eg, the skeleton in pose estimation. The…

计算机视觉与模式识别 · 计算机科学 2017-09-14 Shaofei Wang , Konrad Kording , Julian Yarkony

Determination of the most economic strategies for supply and transmission of electricity is a daunting computational challenge. Due to theoretical barriers, so-called NP-hardness, the amount of effort to optimize the schedule of generating…

最优化与控制 · 数学 2017-07-13 Ramtin Madani , Alper Atamturk , Ali Davoudi

This paper focuses on multi-block optimization problems over transport polytopes, which underlie various applications including strongly correlated quantum physics and machine learning. Conventional block coordinate descent-type methods for…

最优化与控制 · 数学 2024-08-27 Yukuan Hu , Mengyu Li , Xin Liu , Cheng Meng