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We propose a new approach to competitive analysis in online scheduling by introducing the novel concept of competitive-ratio approximation schemes. Such a scheme algorithmically constructs an online algorithm with a competitive ratio…

Data Structures and Algorithms · Computer Science 2012-11-01 Elisabeth Günther , Olaf Maurer , Nicole Megow , Andreas Wiese

Simulating hostile attacks of physical autonomous systems can be a useful tool to examine their robustness to attack and inform vulnerability-aware design. In this work, we examine this through the lens of multi-robot patrol, by presenting…

Robotics · Computer Science 2025-09-16 James C. Ward , Alex Bott , Connor York , Edmund R. Hunt

This paper studies a fundamental algorithmic problem related to the design of demand-aware networks: networks whose topologies adjust toward the traffic patterns they serve, in an online manner. The goal is to strike a tradeoff between the…

Data Structures and Algorithms · Computer Science 2020-04-07 Chen Avin , Kaushik Mondal , Stefan Schmid

High-performance autonomy often must operate at the boundaries of safety. When external agents are present in a system, the process of ensuring safety without sacrificing performance becomes extremely difficult. In this paper, we present an…

Robotics · Computer Science 2021-10-05 Stanley Bak , Johannes Betz , Abhinav Chawla , Hongrui Zheng , Rahul Mangharam

We study the online metric matching problem. There are $m$ servers and $n$ requests located in a metric space, where all servers are available upfront and requests arrive one at a time. Upon the arrival of a new request, it needs to be…

Data Structures and Algorithms · Computer Science 2025-10-16 Mingwei Yang , Sophie H. Yu

We consider a variant of pursuit-evasion games where a single defender is tasked to defend a static target from a sequence of periodically arriving intruders. The intruders' objective is to breach the boundary of a circular target without…

Optimization and Control · Mathematics 2023-03-13 Arman Pourghorban , Dipankar Maity

We study algorithmic questions for concurrent systems where the transitions are labeled from a complete, closed semiring, and path properties are algebraic with semiring operations. The algebraic path properties can model dataflow analysis…

Programming Languages · Computer Science 2015-11-27 Krishnendu Chatterjee , Amir Kafshdar Goharshady , Rasmus Ibsen-Jensen , Andreas Pavlogiannis

We consider a practically motivated variant of the canonical online fair allocation problem: a decision-maker has a budget of perishable resources to allocate over a fixed number of rounds. Each round sees a random number of arrivals, and…

Optimization and Control · Mathematics 2026-04-03 Siddhartha Banerjee , Chamsi Hssaine , Sean R. Sinclair

The dynamic problem of enclosing an expanding fire can be modelled by a discrete variant in a grid graph. While the fire expands to all neighbouring cells in any time step, the fire fighter is allowed to block $c$ cells in the average…

Neural and Evolutionary Computing · Computer Science 2017-05-05 Martin Kretschmer , Elmar Langetepe

We consider the minimum spanning tree problem with predictions, using the weight-arrival model, i.e., the graph is given, together with predictions for the weights of all edges. Then the actual weights arrive one at a time and an…

Data Structures and Algorithms · Computer Science 2023-02-24 Magnus Berg , Joan Boyar , Lene M. Favrholdt , Kim S. Larsen

Deep Neural Network-based systems are now the state-of-the-art in many robotics tasks, but their application in safety-critical domains remains dangerous without formal guarantees on network robustness. Small perturbations to sensor inputs…

Robotics · Computer Science 2020-03-10 Björn Lütjens , Michael Everett , Jonathan P. How

We study a new search problem on the plane involving a robot and an immobile treasure, initially placed at distance $1$ from each other. The length $\beta$ of an arc (a fence) within the perimeter of the corresponding circle, as well as the…

Computational Geometry · Computer Science 2016-06-28 Konstantinos Georgiou , Evangelos Kranakis , Alexandra Steau

Traditional approaches to the design of multi-agent navigation algorithms consider the environment as a fixed constraint, despite the obvious influence of spatial constraints on agents' performance. Yet hand-designing improved environment…

Robotics · Computer Science 2022-09-26 Zhan Gao , Amanda Prorok

We construct a deterministic 4-competitive algorithm for the online file migration problem, beating the currently best 20-year-old, 4.086-competitive MTLM algorithm by Bartal et al. (SODA 1997). Like MTLM, our algorithm also operates in…

Data Structures and Algorithms · Computer Science 2019-06-24 Marcin Bienkowski , Jaroslaw Byrka , Marcin Mucha

Online optimization covers problems such as online resource allocation, online bipartite matching, adwords (a central problem in e-commerce and advertising), and adwords with separable concave returns. We analyze the worst case competitive…

Data Structures and Algorithms · Computer Science 2016-11-03 Reza Eghbali , Maryam Fazel

In a graph G, a k-attack A is any set of at most k vertices and l-defense D is a set of at most l vertices. We say that defense D counters attack A if each a in A can be matched to a distinct defender d in D with a equal to d or a adjacent…

Computational Complexity · Computer Science 2025-10-02 Steven Chaplick , Grzegorz Gutowski , Tomasz Krawczyk

We consider online scheduling weighted packets with time constraints over a fading channel. Packets arrive at the transmitter in an online manner. Each packet has a value and a deadline by which it should be sent. The fade state of the…

Information Theory · Computer Science 2009-09-30 Fei Li , Zhi Zhang

Active Directory is the default security management system for Windows domain networks. We study the shortest path edge interdiction problem for defending Active Directory style attack graphs. The problem is formulated as a Stackelberg game…

Computer Science and Game Theory · Computer Science 2021-12-28 Mingyu Guo , Jialiang Li , Aneta Neumann , Frank Neumann , Hung Nguyen

In the last years we have witnessed the appearance of a variety of strategies to design optimal location privacy-preserving mechanisms, in terms of maximizing the adversary's expected error with respect to the users' whereabouts. In this…

Cryptography and Security · Computer Science 2017-08-25 Simon Oya , Carmela Troncoso , Fernando Pérez-González

We introduce algorithms for online, full-information prediction that are competitive with contextual tree experts of unknown complexity, in both probabilistic and adversarial settings. We show that by incorporating a probabilistic framework…

Machine Learning · Computer Science 2018-05-23 Vidya Muthukumar , Mitas Ray , Anant Sahai , Peter L. Bartlett