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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…

Optimization and Control · Mathematics 2026-04-01 David L. Cole , Michael Lau , Xinliang Dai , Sambuddha Chakrabarti , Jesse D. Jenkins

In backbone networks, it is fundamental to quickly protect traffic against any unexpected event, such as failures or congestions, which may impact Quality of Service (QoS). Standard solutions based on Segment Routing (SR), such as…

Discrete Mathematics · Computer Science 2024-05-01 Sébastien Martin , Youcef Magnouche , Paolo Medagliani , Jérémie Leguay

This paper examines Mixed-Integer Multi-Level problems with Sequential Followers (MIMLSF), a specialized optimization model aimed at enhancing upper-level decision-making by incorporating anticipated outcomes from lower-level sequential…

Optimization and Control · Mathematics 2025-02-28 Yuxin Xia , Iacopo Savelli , Thomas Morstyn

We study joint optimization of service placement, request routing, and CPU sizing in a cooperative MEC system. The problem is considered from the perspective of the service provider (SP), which delivers heterogeneous MEC-enabled…

Networking and Internet Architecture · Computer Science 2024-05-20 Naeimeh Omidvar , Mahdieh Ahmadi , Seyed Mohammad Hosseini

In this paper, we propose an efficient algorithm for 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…

Information Theory · Computer Science 2023-02-14 Wei-Kun Chen , Ya-Feng Liu , Fan Liu , Yu-Hong Dai , Zhi-Quan Luo

We tackle the problem of graph partitioning for image segmentation using correlation clustering (CC), which we treat as an integer linear program (ILP). We reformulate optimization in the ILP so as to admit efficient optimization via…

Computer Vision and Pattern Recognition · Computer Science 2019-08-05 Margret Keuper , Jovita Lukasik , Maneesh Singh , Julian Yarkony

We study a vehicle-based hub network design problem (HNDPv) with the main applications in freight distribution and parcel delivery systems, where the economies of scale stem from the effective utilization of vehicles that move consolidated…

Optimization and Control · Mathematics 2023-01-12 Mohammad Saleh Farham , Borzou Rostami , Michael Haughton

We study the shipper-side design of large-scale inbound transportation networks, motivated by the global supply chain of the carmaker Renault. We formalize the Shipper Transportation Planning Problem (STPP), which integrates discrete flow…

Optimization and Control · Mathematics 2026-04-03 Mathis Brichet , Maximilian Schiffer , Axel Parmentier

The Dynamic Pickup and Delivery Problem (DPDP) is aimed at dynamically scheduling vehicles among multiple sites in order to minimize the cost when delivery orders are not known a priori. Although DPDP plays an important role in modern…

Artificial Intelligence · Computer Science 2021-05-28 Xijun Li , Weilin Luo , Mingxuan Yuan , Jun Wang , Jiawen Lu , Jie Wang , Jinhu Lu , Jia Zeng

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…

Optimization and Control · Mathematics 2026-04-29 Tim Donkiewicz , Oliver Gaul

This paper proposes a data-driven version of the Benders decomposition algorithm applied to the stochastic unit commitment (SUC) problem. The proposed methodology aims at finding a trade-off between the size of the Benders master problem…

Optimization and Control · Mathematics 2019-12-04 Baudouin Vandenbussche , Stefanos Delikaraoglou , Ignacio Blanco , Gabriela Hug

We consider the worst-case load-shedding problem in electric power networks where a number of transmission lines are to be taken out of service. The objective is to identify a pre-specified number of line outage that leads to the maximum…

Optimization and Control · Mathematics 2018-10-22 Fu Lin

Utilizing existing transportation networks better and designing (parts of) networks involves routing decisions to minimize transportation costs and maximize consolidation effects. We study the concrete example of hinterland networks for the…

Optimization and Control · Mathematics 2023-03-30 Niklas Jost , Dorothee Henke , Ivo Hedtke , Oliver Bredtmann , Joachim Weise , Christoph Buchheim , Uwe Clausen

We consider a microgrid where different prosumers exchange energy altogether by the edges of a given network. Each prosumer is located to a node of the network and encompasses energy consumption, energy production and storage capacities…

Optimization and Control · Mathematics 2019-12-24 Pierre Carpentier , Jean-Philippe Chancelier , Michel de Lara , François Pacaud

In this paper, we consider a probabilistic set covering problem (PSCP) in which each 0-1 row of the constraint matrix is random with a finite discrete distribution, and the objective is to minimize the total cost of the selected columns…

Optimization and Control · Mathematics 2025-01-27 Jie Liang , Cheng-Yang Yu , Wei Lv , Wei-Kun Chen , Yu-Hong Dai

We study a general class of quadratic capacitated $p$-location problems facility location problems with single assignment where a non-separable, non-convex, quadratic term is introduced in the objective function to account for the…

Optimization and Control · Mathematics 2021-07-22 C. A. Zetina , I. Contreras , S. Jayaswal

The distributed operating room (OR) scheduling problem aims to find an assignment of surgeries to ORs across collaborating hospitals that share their waiting lists and ORs. We propose a stochastic extension of this problem where surgery…

Optimization and Control · Mathematics 2020-10-06 Cheng Guo , Merve Bodur , Dionne M. Aleman , David R. Urbach

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…

Optimization and Control · Mathematics 2025-01-08 Filippo Pecci , Jesse D. Jenkins

Microtransit offers opportunities to enhance urban mobility by combining the reliability of public transit and the flexibility of ride-sharing. This paper optimizes the design and operations of a deviated fixed-route microtransit system…

Optimization and Control · Mathematics 2025-06-12 Bernardo Martin-Iradi , Alexandria Schmid , Kayla Cummings , Alexandre Jacquillat

The maximum covering location problem (MCLP) is a key problem in facility location, with many applications and variants. One such variant is the dynamic (or multi-period) MCLP, which considers the installation of facilities across multiple…

Optimization and Control · Mathematics 2023-10-27 Steven Lamontagne , Margarida Carvalho , Ribal Atallah