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This paper presents a new method for finding the node-disjoint paths with maximum combined bandwidth in communication networks. This problem is an NP-complete problem which can be optimally solved in exponential time using integer linear…

网络与互联网体系结构 · 计算机科学 2013-05-07 Mostafa H. Dahshan

Scenario-based optimization problems can be solved via Benders decomposition, which separates first-stage (master problem) decisions from second-stage (subproblem) recourse actions and iteratively refines the master problem with Benders…

最优化与控制 · 数学 2026-04-13 Tim Donkiewicz

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…

最优化与控制 · 数学 2025-01-27 Jie Liang , Cheng-Yang Yu , Wei Lv , Wei-Kun Chen , Yu-Hong Dai

In this paper, we discuss our approach and algorithmic framework for solving large-scale security constrained optimal power flow (SCOPF) problems. SCOPF is a mixed integer non-convex optimization problem that aims to obtain the minimum…

最优化与控制 · 数学 2020-06-02 Mohammadhafez Bazrafshan , Kyri Baker , Javad Mohammadi

In the classical \emph{survivable-network-design problem} (SNDP), we are given an undirected graph $G = (V, E)$, non-negative edge costs, and some $(s_i,t_i,r_i)$ tuples, where $s_i,t_i\in V$ and $r_i\in\mathbb{Z}_+$. We seek a minimum-cost…

数据结构与算法 · 计算机科学 2025-08-26 Nikhil Kumar , JJ Nan , Chaitanya Swamy

In this paper, we present decomposition techniques for solving large-scale instances of the security-constrained optimal power flow (SCOPF) problem with primary response. Specifically, under each contingency state, we require that the nodal…

最优化与控制 · 数学 2019-10-10 Alexandre Velloso , Pascal Van Hentenryck , Emma S. Johnson

This paper presents a new method and a constraint-based objective function to solve two problems related to the design of optical telecommunication networks, namely the Synchronous Optical Network Ring Assignment Problem (SRAP) and the…

人工智能 · 计算机科学 2009-10-08 Marie Pelleau , Pascal Van Hentenryck , Charlotte Truchet

In this work, we study the problem of scheduling a maximal set of transmitters subjected to an interference constraint across all the nodes. Given a set of nodes, the problem reduces to finding the maximum cardinality of a subset of nodes…

信息论 · 计算机科学 2016-11-01 Rakshith Jagannath , Radha Krishna Ganti , Neelesh S Upadhye

This paper presents a first-order distributed algorithm for solving a convex semi-infinite program (SIP) over a time-varying network. In this setting, the objective function associated with the optimization problem is a summation of a set…

最优化与控制 · 数学 2025-05-23 Ashwin Aravind , Debasish Chatterjee , Ashish Cherukuri

This work proposes a novel approach to reinforce localization security in wireless networks in the presence of malicious nodes that are able to manipulate (spoof) radio measurements. It substitutes the original measurement model by another…

信号处理 · 电气工程与系统科学 2025-04-01 Slavisa Tomic , Marko Beko , Yakubu Tsado , Bamidele Adebisi , Abiola Oladipo

Path planning is a fundamental problem in road networks, with the goal of finding a path that optimizes objectives such as shortest distance or minimal travel time. Existing methods typically use graph indexing to ensure the efficiency of…

数据结构与算法 · 计算机科学 2024-12-10 Hanzhang Chen , Xiangzhi Zhang , Shufeng Gong , Feng Yao , Song Yu , Yanfeng Zhang , Ge Yu

The interdiction problem arises in a variety of areas including military logistics, infectious disease control, and counter-terrorism. In the typical formulation of network interdiction, the task of the interdictor is to find a set of edges…

离散数学 · 计算机科学 2009-03-03 Alexander Gutfraind , Aric Hagberg , Feng Pan

Intercepting a criminal using limited police resources presents a significant challenge in dynamic crime environments, where the criminal's location continuously changes over time. The complexity is further heightened by the vastness of the…

社会与信息网络 · 计算机科学 2025-06-30 Sukanya Samanta

While deep spiking neural networks (SNNs) demonstrate superior performance, their deployment on resource-constrained neuromorphic hardware still remains challenging. Network pruning offers a viable solution by reducing both parameters and…

神经与进化计算 · 计算机科学 2025-07-08 Hui Xie , Yuhe Liu , Shaoqi Yang , Jinyang Guo , Yufei Guo , Yuqing Ma , Jiaxin Chen , Jiaheng Liu , Xianglong Liu

Network design problems involve constructing edges in a transportation or supply chain network to minimize construction and daily operational costs. We study a stochastic version where operational costs are uncertain due to fluctuating…

最优化与控制 · 数学 2025-01-08 Dimitris Bertsimas , Ryan Cory-Wright , Jean Pauphilet , Periklis Petridis

We study the following fundamental network optimization problem known as Maximum Robust Flow (MRF): A planner determines a flow on $s$-$t$-paths in a given capacitated network. Then, an adversary removes $k$ arcs from the network,…

离散数学 · 计算机科学 2025-11-11 Jannik Matuschke

This paper investigates a combinatorial optimization problem motived from a secure power network design application in [D\'{a}n and Sandberg 2010]. Two equivalent graph optimization formulations are derived. One of the formulations is a…

最优化与控制 · 数学 2017-02-28 Kin Cheong Sou , Jie Lu

We tackle a stochastic version of the Critical Node Problem (CNP) where the goal is to minimize the pairwise connectivity of a graph by attacking a subset of its nodes. In the stochastic setting considered, the attacks on nodes can fail…

数据结构与算法 · 计算机科学 2019-05-30 Pierre Hosteins , Rosario Scatamacchia

In this thesis, we present new techniques to deal with fundamental algorithmic graph problems where graphs are directed and partially dynamic, i.e. undergo either a sequence of edge insertions or deletions: - Single-Source Reachability…

数据结构与算法 · 计算机科学 2020-11-30 Maximilian Probst Gutenberg

In unsplittable network flow problems, certain nodes must satisfy a combinatorial requirement that the incoming arc flows cannot be split or merged when routed through outgoing arcs. This so-called "no-split no-merge" requirement arises in…

最优化与控制 · 数学 2024-03-27 Hosseinali Salemi , Danial Davarnia