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Related papers: On the Approximability of Unsplittable Flow on a P…

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We consider offline scheduling algorithms that incorporate speed scaling to address the bicriteria problem of minimizing energy consumption and a scheduling metric. For makespan, we give linear-time algorithms to compute all non-dominated…

Data Structures and Algorithms · Computer Science 2007-05-23 David P. Bunde

Benchmark instances for the unbounded knapsack problem are typically generated according to specific criteria within a given constant range $R$, and these instances can be referred to as the unbounded knapsack problem with bounded…

Data Structures and Algorithms · Computer Science 2024-03-19 Yang Yang

In this paper, we develop a distributionally robust chance-constrained formulation of the Optimal Power Flow problem (OPF) whereby the system operator can leverage contextual information. For this purpose, we exploit an ambiguity set based…

Optimization and Control · Mathematics 2022-10-05 Adrián Esteban-Pérez , Juan M. Morales

We present an algorithm for computing $s$-$t$ maximum flows in directed graphs in $\widetilde{O}(m^{4/3+o(1)}U^{1/3})$ time. Our algorithm is inspired by potential reduction interior point methods for linear programming. Instead of using…

Data Structures and Algorithms · Computer Science 2020-09-08 Tarun Kathuria

The paper revisits the robust $s$-$t$ path problem, one of the most fundamental problems in robust optimization. In the problem, we are given a directed graph with $n$ vertices and $k$ distinct cost functions (scenarios) defined over edges,…

Data Structures and Algorithms · Computer Science 2024-06-25 Shi Li , Chenyang Xu , Ruilong Zhang

We consider the weighted completion time minimization problem for capacitated parallel machines, which is a fundamental problem in modern cloud computing environments. We study settings in which the processed jobs may have varying duration,…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-06-28 Ilan Reuven Cohen , Izack Cohen , Iyar Zaks

In the Weighted Triangle-Free 2-Matching problem (WTF2M), we are given an undirected edge-weighted graph. Our goal is to compute a maximum-weight subgraph that is a 2-matching (i.e., no node has degree more than $2$) and triangle-free…

Data Structures and Algorithms · Computer Science 2026-03-11 Miguel Bosch-Calvo , Fabrizio Grandoni , Yusuke Kobayashi , Takashi Noguchi

In edge intelligence systems, deep neural network (DNN) partitioning and data offloading can provide real-time task inference for resource-constrained mobile devices. However, the inference time of DNNs is typically uncertain and cannot be…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-24 Zhaojun Nan , Yunchu Han , Sheng Zhou , Zhisheng Niu

In the uncapacitated facility location problem, given a graph, a set of demands and opening costs, it is required to find a set of facilities R, so as to minimize the sum of the cost of opening the facilities in R and the cost of assigning…

Data Structures and Algorithms · Computer Science 2010-02-03 Shiri Chechik , David Peleg

We are given a set of $n$ jobs that have to be executed on a set of $m$ speed-scalable machines that can vary their speeds dynamically using the energy model introduced in [Yao et al., FOCS'95]. Every job $j$ is characterized by its release…

Data Structures and Algorithms · Computer Science 2014-02-18 Eric Angel , Evripidis Bampis , Vincent Chau , Nguyen Kim Thang

The Maximum Weight Independent Set of Polygons problem is a fundamental problem in computational geometry. Given a set of weighted polygons in the 2-dimensional plane, the goal is to find a set of pairwise non-overlapping polygons with…

Data Structures and Algorithms · Computer Science 2013-07-17 Anna Adamaszek , Andreas Wiese

In the decremental single-source shortest paths problem, the goal is to maintain distances from a fixed source $s$ to every vertex $v$ in an $m$-edge graph undergoing edge deletions. In this paper, we conclude a long line of research on…

Data Structures and Algorithms · Computer Science 2021-01-20 Aaron Bernstein , Maximilian Probst Gutenberg , Thatchaphol Saranurak

A workflow specification defines sets of steps and users. An authorization policy determines for each user a subset of steps the user is allowed to perform. Other security requirements, such as separation-of-duty, impose constraints on…

Cryptography and Security · Computer Science 2015-09-15 Jason Crampton , Andrei Gagarin , Gregory Gutin , Mark Jones , Magnus Wahlstrom

Mobility-on-demand systems are transforming the way we think about the transportation of people and goods. Most research effort has been placed on scalability issues for systems with a large number of agents and simple pick-up/drop-off…

Formal Languages and Automata Theory · Computer Science 2022-08-15 Kaier Liang , Cristian-Ioan Vasile

Unsplittable flow problems cover a wide range of telecommunication and transportation problems and their efficient resolution is key to a number of applications. In this work, we study algorithms that can scale up to large graphs and…

Data Structures and Algorithms · Computer Science 2023-03-29 François Lamothe , Emmanuel Rachelson , Alain Haït , Cedric Baudoin , Jean-Baptiste Dupe

The workflow satisfiability problem (WSP) asks whether there exists an assignment of authorized users to the steps in a workflow specification that satisfies the constraints in the specification. The problem is NP-hard in general, but…

Data Structures and Algorithms · Computer Science 2015-05-18 D. Cohen , J. Crampton , A. Gagarin , G. Gutin , M. Jones

We discuss the complexity of path enumeration and counting in weighted temporal graphs. In a weighted temporal graph, each edge has an availability time, a traversal time and some real cost. We introduce two bicriteria temporal min-cost…

Computational Complexity · Computer Science 2020-07-10 Petra Mutzel , Lutz Oettershagen

Coflow is a recently proposed network abstraction for data-parallel computing applications. This paper considers scheduling coflows with precedence constraints in identical parallel networks, such as to minimize the total weighted…

Data Structures and Algorithms · Computer Science 2022-07-15 Chi-Yeh Chen

We consider basic problems of non-preemptive scheduling on uniformly related machines. For a given schedule, defined by a partition of the jobs into m subsets corresponding to the m machines, C_i denotes the completion time of machine i.…

Data Structures and Algorithms · Computer Science 2015-03-20 Leah Epstein , Asaf Levin

We introduce the notion of {\em fair cuts} as an approach to leverage approximate $(s,t)$-mincut (equivalently $(s,t)$-maxflow) algorithms in undirected graphs to obtain near-linear time approximation algorithms for several cut problems.…

Data Structures and Algorithms · Computer Science 2023-01-13 Jason Li , Danupon Nanongkai , Debmalya Panigrahi , Thatchaphol Saranurak