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In Part I of this paper, we proposed and analyzed a novel algorithmic framework for the minimization of a nonconvex (smooth) objective function, subject to nonconvex constraints, based on inner convex approximations. This Part II is devoted…

Information Theory · Computer Science 2017-04-05 Gesualdo Scutari , Francisco Facchinei , Lorenzo Lampariello , Peiran Song , Stefania Sardellitti

In the virtual network embedding problem, the goal is to map embed a set of virtual network instances to a given physical network substrate at minimal cost, while respecting the capacity constraints of the physical network. This NP-hard…

Networking and Internet Architecture · Computer Science 2025-05-16 Oleg Kolosov , Gala Yadgar , David Breitgand , Dean H. Lorenz

In the past few decades, optical transport networks (OTNs) have undergone significant evolution, from the earliest wavelength-division multiplexing (WDM) OTNs to elastic optical networks (EONs) and later to space-division multiplexing (SDM)…

Networking and Internet Architecture · Computer Science 2024-10-30 Mingcong Yang , Qian Wu , Maiko Shigeno , YongbingZhang

Wireless time-sensitive networking (WTSN) is essential for Industrial Internet of Things. We address the problem of minimizing time slots needed for WTSN transmissions while ensuring reliability subject to interference constraints -- an…

Signal Processing · Electrical Eng. & Systems 2025-01-22 Zhouyou Gu , Jihong Park , Branka Vucetic , Jinho Choi

The orienteering problem (OP) is a combinatorial optimization problem that seeks a path visiting a subset of locations to maximize collected rewards under a limited resource budget. This article presents a systematic PRISMA-based review of…

Optimization and Control · Mathematics 2025-12-19 Songhao Shen , Yufeng Zhou , Qin Lei , Zhibin Wu

This paper provides an efficient solution approach to the screen-line counter location problem (SCLP), which is a counter location problem with the constraint that the traffic between OD pairs must be observed at least once. This paper…

Optimization and Control · Mathematics 2024-07-31 Satoshi Sugiura

Traffic grooming is a major issue in optical networks. It refers to grouping low rate signals into higher speed streams, in order to reduce the equipment cost. In SONET WDM networks, this cost is mostly given by the number of electronic…

Combinatorics · Mathematics 2008-12-18 Xavier Muñoz , Ignasi Sau Valls

The Set Cover Problem (SCP) and the Hitting Set Problem (HSP) are well-studied optimization problems. In this paper we introduce the Reward-Penalty-Selection Problem (RPSP) which can be understood as a combination of the SCP and the HSP…

Computational Complexity · Computer Science 2021-06-29 T. Heller , S. O. Krumke , K. -H. Küfer

Software Defined Networking (SDN) is a recent paradigm in telecommunication networks that disentangles data and control planes and brings more flexibility and efficiency to the network as a result. The Controller Placement (CP) problem in…

Networking and Internet Architecture · Computer Science 2021-12-07 Reza Soleymanifar , Carolyn Beck

This paper provides an optimized cable path planning solution for a tree-topology network in an irregular 2D manifold in a 3D Euclidean space, with an application to the planning of submarine cable networks. Our solution method is based on…

Systems and Control · Electrical Eng. & Systems 2021-05-05 Tianjiao Wang , Zengfu Wang , Bill Moran , Moshe Zukerman

The constrained path optimization (CPO) problem takes the following input: (a) a road network represented as a directed graph, where each edge is associated with a "cost" and a "score" value; (b) a source-destination pair and; (c) a budget…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-05 Kousik Kumar Dutta , Ankita Dewan , Venkata M. V. Gunturi

In this paper, an unrolling algorithm of the iterative subspace-based optimization method (SOM) is proposed for solving full-wave inverse scattering problems (ISPs). The unrolling network, named SOM-Net, inherently embeds the Lippmann-…

Signal Processing · Electrical Eng. & Systems 2022-12-07 Yu Liu , Hao Zhao , Rencheng Song , Xudong Chen , Chang Li , Xun Chen

Many problems, especially those with a composite structure, can naturally be expressed in higher order logic. From a KR perspective modeling these problems in an intuitive way is a challenging task. In this paper we study the graph mining…

Logic in Computer Science · Computer Science 2016-09-01 Matthias van der Hallen , Sergey Paramonov , Michael Leuschel , Gerda Janssens

The matching problem between two adjacency matrices can be formulated as the NP-hard quadratic assignment problem (QAP). Previous work on semidefinite programming (SDP) relaxations to the QAP have produced solutions that are often tight in…

Optimization and Control · Mathematics 2017-03-29 Jose F. S. Bravo Ferreira , Yuehaw Khoo , Amit Singer

Applying local search algorithms to combinatorial optimization problems is not an easy feat. Typically, human intervention is required to compile the constraints to input data for some metaheuristic algorithm. In this paper, we establish a…

Artificial Intelligence · Computer Science 2026-05-20 Jo Devriendt , Patrick De Causmaecker , Marc Denecker

Solving high-dimensional optimal control problems in real-time is an important but challenging problem, with applications to multi-agent path planning problems, which have drawn increased attention given the growing popularity of drones in…

Optimization and Control · Mathematics 2022-01-17 Tingwei Meng , Zhen Zhang , Jérôme Darbon , George Em Karniadakis

Mapping is essential in robotics and autonomous systems because it provides the spatial foundation for path planning. Efficient mapping enables planning algorithms to generate reliable paths while ensuring safety and adapting in real time…

Robotics · Computer Science 2026-05-22 Yihui Mao , Tian Tan , Xuehui Shen , Warren E. Dixon , Rushikesh Kamalapurkar

The problem of searchability in decentralized complex networks is of great importance in computer science, economy and sociology. We present a formalism that is able to cope simultaneously with the problem of search and the congestion…

Disordered Systems and Neural Networks · Physics 2009-11-07 R. Guimera , A. Arenas , A. Diaz-Guilera , F. Vega-Redondo , A. Cabrales

In this note we consider the survivable network design problem (SNDP) in undirected graphs. We make two contributions. The first is a new counting argument in the iterated rounding based 2-approximation for edge-connectivity SNDP (EC-SNDP)…

Data Structures and Algorithms · Computer Science 2016-08-09 Chandra Chekuri , Thapanapong Rukkanchanunt

The Ring Loading Problem is an optimal routing problem arising in the planning of optical communication networks which use bidirectional SONET rings. In mathematical terms, it is an unsplittable multicommodity flow problem on undirected…

Discrete Mathematics · Computer Science 2014-08-20 Martin Skutella