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We attack the 4-level facility location problem (4L-FLP), a critical component in supply chains. Foundational tasks here involve selecting markets, plants, warehouses, and distribution centers to maximize profits while considering related…

Optimization and Control · Mathematics 2025-04-22 Bahram Alidaee , Haibo Wang

This paper introduces a novel theoretical framework and a suite of highly efficient, parallelizable algorithms for solving the large-scale multicommodity flow (MCF) feasibility problem. We reframe the classical constraint-satisfaction…

Optimization and Control · Mathematics 2025-08-26 Pengfei Liu

This paper presents an iterated local search for the fixed-charge uncapacitated network design problem with user-optimal flow (FCNDP-UOF), which concerns routing multiple commodities from its origin to its destination by signing a network…

Data Structures and Algorithms · Computer Science 2020-06-22 Pedro Henrique González , Luidi Simonetti , Philippe Michelon , Carlos Martinhon , Edcarllos Santos

In this paper, we study the virtual network function (VNF) placement problem in mobile edge computing (MEC)-enabled 5G networks to meet the stringent reliability and latency requirements of uRLLC applications. We pose it as a constrained…

Networking and Internet Architecture · Computer Science 2025-08-21 Aqsa Sayeed , Samaresh Bera

Network Virtualization (NV) is an emerging network dynamic planning technique to overcome network rigidity. As its necessary challenge, Virtual Network Embedding (VNE) enhances the scalability and flexibility of the network by decoupling…

Networking and Internet Architecture · Computer Science 2022-05-31 Peiying Zhang , Ning Chen , Shibao Li , Kim-Kwang Raymond Choo , Chunxiao Jiang

In typical applications of facility location problems, the location of demand is assumed to be an input to the problem. The demand may be fixed or dynamic, but ultimately outside the optimizers control. In contrast, there are settings,…

Optimization and Control · Mathematics 2022-11-24 Ali Kaan Kurbanzade , Julia Gaudio

Facility and covering location models are key elements in many decision aid tools in logistics, supply chain design, telecommunications, public infrastructure planning, and many other industrial and public sectors. In many applications, it…

Optimization and Control · Mathematics 2019-09-12 Eduardo Álvarez-Miranda , Markus Sinnl

We investigate the control and optimization of vertical federated learning (VFL), a class of distributed machine learning (ML) methods in which edge/fog devices contain separate data features, in dynamic edge/fog networks. Owing to…

Networking and Internet Architecture · Computer Science 2026-05-12 Su Wang , Mung Chiang , H. Vincent Poor

Service Function Chaining (SFC) allows the forwarding of a traffic flow along a chain of Virtual Network Functions (VNFs, e.g., IDS, firewall, and NAT). Software Defined Networking (SDN) solutions can be used to support SFC reducing the…

Networking and Internet Architecture · Computer Science 2018-07-13 Mohammad M. Tajiki , Stefano Salsano , Luca Chiaraviglio , Mohammad Shojafar , Behzad Akbari

The reliable facility location problem (RFLP) is an important research topic of operational research and plays a vital role in the decision-making and management of modern supply chain and logistics. Through solving RFLP, the decision-maker…

Neural and Evolutionary Computing · Computer Science 2020-07-10 Han Zhang , Jialin Liu , Xin Yao

In this paper, we propose the MultiLevel Variational MultiScale (ML-VMS) method, a novel approach that seamlessly integrates a multilevel mesh strategy into the Variational Multiscale (VMS) framework. A key feature of the ML-VMS method is…

Numerical Analysis · Mathematics 2025-10-28 Lei Zhang , Jiachen Guo , Shaoqiang Tang , Thomas J. R. Hughes , Wing Kam Liu

The usage of federated learning (FL) in Vehicular Ad hoc Networks (VANET) has garnered significant interest in research due to the advantages of reducing transmission overhead and protecting user privacy by communicating local dataset…

Machine Learning · Computer Science 2024-01-22 M. Saeid HaghighiFard , Sinem Coleri

This paper introduces a new hierarchical facility location model with three levels: first-level facilities which manufacture different products, second-level facilities which act as warehouses and a third-level consisting of the clients who…

Optimization and Control · Mathematics 2024-03-29 Marta Baldomero-Naranjo , Luisa I. Martínez-Merino , Antonio M. Rodríguez-Chía

The ever increasing demand for computing resources has led to the creation of hyperscale datacentres with tens of thousands of servers. As demand continues to rise, new technologies must be incorporated to ensure high quality services can…

Networking and Internet Architecture · Computer Science 2020-02-03 Joseph Billingsley , Ke Li , Wang Miao , Geyong Min , Nektarios Georgalas

Network function virtualization enables network operators to implement new services through a process called service function chain mapping. The concept of Service Function Chain (SFC) is introduced to provide complex services, which is an…

Networking and Internet Architecture · Computer Science 2024-11-13 Asghar Asgharian-Sardroud , Mohammad Hossein Izanlou , Amin Jabbari , Sepehr Mahmoodian Hamedani

Solving practical multi-depot vehicle routing problems (MDVRP) is a challenging optimization task central to modern logistics, increasingly driven by e-commerce. To address the MDVRP's computational complexity, neural-based combinatorial…

Machine Learning · Computer Science 2026-05-01 Arthur Corrêa , Paulo Nascimento , Samuel Moniz

The multicommodity capacitated fixed-charge network design problem has been extensively studied in the literature due to its wide range of applications. Despite the fact that many sophisticated solution methods exist today, finding…

Optimization and Control · Mathematics 2024-09-10 Charly Robinson La Rocca , Jean-François Cordeau , Emma Frejinger

The facility location problems (FLPs) are a typical class of NP-hard combinatorial optimization problems, which are widely seen in the supply chain and logistics. Many mathematical and heuristic algorithms have been developed for optimizing…

Machine Learning · Computer Science 2022-10-28 Shiqing Liu , Xueming Yan , Yaochu Jin

We consider a family of Rich Vehicle Routing Problems (RVRP) which have the particularity to combine a heterogeneous fleet with other attributes, such as backhauls, multiple depots, split deliveries, site dependency, open routes, duration…

Optimization and Control · Mathematics 2018-03-07 Puca Huachi Vaz Penna , Anand Subramanian , Luiz Satoru Ochi , Thibaut Vidal , Christian Prins

We present an approach for solving to optimality the budget-constrained Dynamic Uncapacitated Facility Location and Network Design problem (DUFLNDP). This is a problem where a network must be constructed or expanded and facilities placed in…

Optimization and Control · Mathematics 2017-03-21 Robin H Pearce , Michael Forbes
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