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This paper presents a quantum-enhanced optimization approach for solving optimal power flow (OPF) by integrating the interior point method (IPM) with a coherent variational quantum linear solver (CVQLS). The objective is to explore the…

Quantum Physics · Physics 2025-08-29 Farshad Amani , Amin Kargarian

This paper examines the problem of real-time optimization of networked systems and develops online algorithms that steer the system towards the optimal trajectory without explicit knowledge of the system model. The problem is modeled as a…

Optimization and Control · Mathematics 2019-10-01 Yue Chen , Andrey Bernstein , Adithya Devraj , Sean Meyn

Coflow has emerged as a fundamental application-layer abstraction in distributed systems, representing communication dependencies and enabling collaborative management of related flows to enhance job completion efficiency. To meet the…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-30 Xin Wang , Hong Shen , Hui Tian , Ye Tao

Solving optimal power flow (OPF) problems for large distribution networks incurs high computational complexity. We consider a large multi-phase distribution network of tree topology with a deep penetration of active devices. We divide the…

Optimization and Control · Mathematics 2020-09-10 Xinyang Zhou , Yue Chen , Zhiyuan Liu , Changhong Zhao , Lijun Chen

Deploying multiple large language models (LLMs) in parallel to classify an unknown ground-truth label is a common practice, yet the problem of optimally allocating queries across heterogeneous models remains poorly understood. In this…

Data Structures and Algorithms · Computer Science 2026-03-27 Arlen Dean , Zijin Zhang , Stefanus Jasin , Yuqing Liu

We develop efficient algorithms for a fundamental network design problem arising in potential-based flow models, which are central to many energy transport networks (e.g., hydrogen and electricity). In contrast to classical network flow…

Discrete Mathematics · Computer Science 2026-04-30 Max Klimm , Marc E. Pfetsch , Martin Skutella , Lea Strubberg

In this work, we build upon the recently introduced Multiscale Robin Coupled Method with Oversampling and Smoothing (MRCM-OS) to develop two highly efficient iterative multiscale methods. The MRCM-OS methodology demonstrated the ability to…

Numerical Analysis · Mathematics 2025-02-25 Dilong Zhou , Rafael T. Guiraldello , Felipe Pereira

We generalize the fractional packing framework of Garg and Koenemann to the case of linear fractional packing problems over polyhedral cones. More precisely, we provide approximation algorithms for problems of the form $\max\{c^T x : Ax…

Data Structures and Algorithms · Computer Science 2016-12-19 Michael Holzhauser , Sven O. Krumke

To enable fast uncertainty quantification of fluid flow in a discrete fracture network (DFN), we present two approaches to quickly compute fluid flow in DFNs using combinatorial optimization algorithms. Specifically, the presented Hanan…

Geophysics · Physics 2018-11-14 A. Hobé , D. Vogler , M. P. Seybold , A. Ebigbo , R. R. Settgast , M. O. Saar

This work addresses inverse linear optimization where the goal is to infer the unknown cost vector of a linear program. Specifically, we consider the data-driven setting in which the available data are noisy observations of optimal…

Optimization and Control · Mathematics 2021-12-07 Rishabh Gupta , Qi Zhang

This work considers the multiple-access multicast error-correction scenario over a packetized network with $z$ malicious edge adversaries. The network has min-cut $m$ and packets of length $\ell$, and each sink demands all information from…

We present efficient deep learning techniques for approximating flow and transport equations for both single phase and two-phase flow problems. The proposed methods take advantages of the sparsity structures in the underlying discrete…

Numerical Analysis · Mathematics 2020-01-08 Yating Wang , Guang Lin

In this paper, we present a new methodology for developing systematic and automatic test generation algorithms for multipoint protocols. These algorithms attempt to synthesize network topologies and sequences of events that stress the…

Networking and Internet Architecture · Computer Science 2007-05-23 Ahmed Helmy , Deborah Estrin , Sandeep Gupta

This paper bridges discrete and continuous optimization approaches for decomposable submodular function minimization, in both the standard and parametric settings. We provide improved running times for this problem by reducing it to a…

Data Structures and Algorithms · Computer Science 2021-03-08 Kyriakos Axiotis , Adam Karczmarz , Anish Mukherjee , Piotr Sankowski , Adrian Vladu

The permutation flow shop scheduling (PFSS), aiming at finding the optimal permutation of jobs, is widely used in manufacturing systems. When solving large-scale PFSS problems, traditional optimization algorithms such as heuristics could…

Machine Learning · Computer Science 2023-12-15 Longkang Li , Siyuan Liang , Zihao Zhu , Chris Ding , Hongyuan Zha , Baoyuan Wu

Network Calculus (NC) is a versatile analytical methodology to efficiently compute performance bounds in networked systems. The arrival and service curve abstractions allow to model diverse and heterogeneous distributed systems. The…

Networking and Internet Architecture · Computer Science 2024-03-28 Anja Hamscher , Vlad-Cristian Constantin , Jens B. Schmitt

We propose a new algorithm to obtain max flow for the multicommodity flow. This algorithm utilizes the max-flow min-cut theorem and the well known labeling algorithm due to Ford and Fulkerson [1]. We proceed as follows: We select one…

General Mathematics · Mathematics 2010-01-13 Dhananjay P. Mehendale

This paper introduces for the first time a framework to obtain provable worst-case guarantees for neural network performance, using learning for optimal power flow (OPF) problems as a guiding example. Neural networks have the potential to…

Artificial Intelligence · Computer Science 2020-06-22 Andreas Venzke , Guannan Qu , Steven Low , Spyros Chatzivasileiadis

Despite numerous advantages, non-orthogonal multiple access (NOMA) technique can bring additional interference for the neighboring ultra-dense networks if the power consumption of the system is not properly optimized. While targeting on the…

Networking and Internet Architecture · Computer Science 2019-04-19 Rukhsana Ruby , Shuxin Zhong , Derrick Wing Kwan Ng , Kaishun Wu , Victor C. M. Leung

In the weighted flow-time problem on a single machine, we are given a set of n jobs, where each job has a processing requirement p_j, release date r_j and weight w_j. The goal is to find a preemptive schedule which minimizes the sum of…

Data Structures and Algorithms · Computer Science 2018-08-21 Jatin Batra , Naveen Garg , Amit Kumar