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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…

Optimization and Control · Mathematics 2022-11-24 Cristian Ramírez-Pico , Ivana Ljubić , Eduardo Moreno

Peer to peer (P2P) systems are moving from application specific architectures to a generic service oriented design philosophy. This raises interesting problems in connection with providing useful P2P middleware services that are capable of…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Antonio Fernandez , Vincent Gramoli , Ernesto Jimenez , Anne-Marie Kermarrec , Michel Raynal

Generalized Benders decomposition (GBD) is a globally optimal algorithm for mixed integer nonlinear programming (MINLP) problems, which are NP-hard and can be widely found in the area of wireless resource allocation. The main idea of GBD is…

Information Theory · Computer Science 2020-10-16 Mengyuan Lee , Ning Ma , Guanding Yu , Huaiyu Dai

Network function virtualization is a promising technology to simultaneously support multiple services with diverse characteristics and requirements in the 5G and beyond networks. In particular, each service consists of a predetermined…

Networking and Internet Architecture · Computer Science 2021-06-08 Wei-Kun Chen , Ya-Feng Liu , Antonio De Domenico , Zhi-Quan Luo , Yu-Hong Dai

(Hyper)Graph decomposition is a family of problems that aim to break down large (hyper)graphs into smaller sub(hyper)graphs for easier analysis. The importance of this lies in its ability to enable efficient computation on large and complex…

Data Structures and Algorithms · Computer Science 2023-08-31 Marcelo Fonseca Faraj

Network Function Virtualization (NFV) has the potential to significantly reduce the capital and operating expenses, shorten product release cycle, and improve service agility. In this paper, we focus on minimizing the total number of…

Networking and Internet Architecture · Computer Science 2017-02-07 Yu Sang , Bo Ji , Gagan R. Gupta , Xiaojiang Du , Lin Ye

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…

Optimization and Control · Mathematics 2025-01-08 Anna Jacobson , Filippo Pecci , Nestor Sepulveda , Qingyu Xu , Jesse Jenkins

We consider the fundamental problem of decomposing a large-scale approximate nearest neighbor search (ANNS) problem into smaller sub-problems. The goal is to partition the input points into neighborhood-preserving shards, so that the…

Data Structures and Algorithms · Computer Science 2024-03-05 Lars Gottesbüren , Laxman Dhulipala , Rajesh Jayaram , Jakub Lacki

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

Towards addressing spectral scarcity and enhancing resource utilization in 5G networks, network slicing is a promising technology to establish end-to-end virtual networks without requiring additional infrastructure investments. By…

Networking and Internet Architecture · Computer Science 2024-02-29 Panagiotis Promponas , Leandros Tassiulas

Virtual Network Embedding (VNE) is the core combinatorial problem of Network Slicing, a 5G technology which enables telecommunication operators to propose diverse service-dedicated virtual networks, embedded onto a common substrate network.…

Discrete Mathematics · Computer Science 2025-12-22 Amal Benhamiche , Pierre Fouilhoux , Lucas Létocart , Nancy Perrot , Alexis Schneider

The network embedding problem that maps nodes in a graph to vectors in Euclidean space can be very useful for addressing several important tasks on a graph. Recently, graph neural networks (GNNs) have been proposed for solving such a…

Machine Learning · Computer Science 2020-09-23 Ping-En Lu , Cheng-Shang Chang

In this paper, we study a network slicing problem for edge-cloud orchestrated vehicular networks, in which the edge and cloud servers are orchestrated to process computation tasks for reducing network slicing cost while satisfying the…

Networking and Internet Architecture · Computer Science 2023-01-10 Wen Wu , Kaige Qu , Peng Yang , Ning Zhang , Xuemin , Shen , Weihua Zhuang

The performance of distributed and data-centric applications often critically depends on the interconnecting network. Applications are hence modeled as virtual networks, also accounting for resource demands on links. At the heart of…

Data Structures and Algorithms · Computer Science 2021-05-18 Aleksander Figiel , Leon Kellerhals , Rolf Niedermeier , Matthias Rost , Stefan Schmid , Philipp Zschoche

We propose a simple, powerful, and flexible machine learning framework for (i) reducing the search space of computationally difficult enumeration variants of subset problems and (ii) augmenting existing state-of-the-art solvers with…

Machine Learning · Computer Science 2019-02-25 Juho Lauri , Sourav Dutta

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…

Optimization and Control · Mathematics 2023-11-21 Fouad Hasan , Amin Kargarian

The COVID-19 pandemic has been a recent example for the spread of a harmful contagion in large populations. Moreover, the spread of harmful contagions is not only restricted to an infectious disease, but is also relevant to computer viruses…

Optimization and Control · Mathematics 2024-04-26 Kübra Tanınmış , Necati Aras , Evren Güney , Markus Sinnl

Network slicing to support multi-tenancy plays a key role in improving the performance of 5G networks. In this paper, we propose a two time-scale framework for the reservation-based network slicing in the backhaul and Radio Access Network…

Signal Processing · Electrical Eng. & Systems 2022-02-23 Navid Reyhanian , Zhi-Quan Luo

The Benders' decomposition algorithm is a technique in mathematical programming for complex mixed-integer linear programming (MILP) problems with a particular block structure. The strategy of Benders' decomposition can be described as a…

Optimization and Control · Mathematics 2021-12-16 Zhongqi Zhao , Lei Fan , Zhu Han

Tensor decompositions are promising tools for big data analytics as they bring multiple modes and aspects of data to a unified framework, which allows us to discover complex internal structures and correlations of data. Unfortunately most…

Numerical Analysis · Computer Science 2014-12-30 Guoxu Zhou , Andrzej Cichocki , Shengli Xie