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Related papers: Optimal fire allocation in a combat model of mixed…

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Electric power infrastructure faces increasing risk of damage and disruption due to wildfire. Operators of power grids in wildfire-prone regions must consider the potential impacts of unpredictable fires. However, traditional wildfire…

Optimization and Control · Mathematics 2026-03-20 Matthew Brun , Xu Andy Sun , Jean-Paul Watson

In 1999 the author suggested an equation to describe the rate and temporal distribution of battle casualties. This equation was proposed as a replacement for the Lanchester equation. Unlike Lanchester's equation, the author's equation is…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 M. K. Lauren

In green security, defenders must forecast adversarial behavior, such as poaching, illegal logging, and illegal fishing, to plan effective patrols. These behavior are often highly uncertain and complex. Prior work has leveraged game theory…

Computers and Society · Computer Science 2025-10-21 Lingkai Kong , Haichuan Wang , Yuqi Pan , Cheol Woo Kim , Mingxiao Song , Alayna Nguyen , Tonghan Wang , Haifeng Xu , Milind Tambe

This work studies the decentralized and uncoordinated energy source selection problem for smart-grid consumers with heterogeneous energy profiles and risk attitudes: they compete for a limited amount of renewable energy in their local…

Systems and Control · Electrical Eng. & Systems 2022-03-16 Eleni Stai , Evangelia Kokolaki , Lesia Mitridati , Petros Tatoulis , Ioannis Stavrakakis , Gabriela Hug

This paper considers a wireless powered communication network (WPCN) with group cooperation, where two communication groups cooperate with each other via wireless power transfer and time sharing to fulfill their expected information…

Information Theory · Computer Science 2017-03-28 Ke Xiong , Chen Chen , Gang Qu , Pingyi Fan , Khaled Ben Letaief

One of the most elementary spreading models on graphs can be described by a fire spreading from a burning vertex in discrete time steps. At each step, all neighbors of burning vertices catch fire. A well-studied extension to model fire…

Data Structures and Algorithms · Computer Science 2025-12-22 Jannis Blauth , Christian Nöbel , Rico Zenklusen

This paper introduces the first asymptotically optimal strategy for a multi armed bandit (MAB) model under side constraints. The side constraints model situations in which bandit activations are limited by the availability of certain…

Machine Learning · Statistics 2025-02-10 Apostolos N. Burnetas , Odysseas Kanavetas , Michael N. Katehakis

The Bomber Problem concerns optimal sequential allocation of partially effective ammunition $x$ while under attack from enemies arriving according to a Poisson process over a time interval of length $t$. In the doubly-continuous setting, in…

Probability · Mathematics 2011-03-03 Jay Bartroff

This paper proposes a coalitional game theory-based approach for reserve optimization to enable DERs participate in tertiary frequency regulation. A two-stage approach is proposed to effectively and precisely allocate spinning reserve…

Systems and Control · Electrical Eng. & Systems 2023-05-03 Mukesh Gautam , Mohammad MansourLakouraj , Rakib Hossain , Narayan Bhusal , Mohammed Benidris , Hanif Livani

In this work, we study the problem of energy-efficient computation offloading enabled by edge computing. In the considered scenario, multiple users simultaneously compete for limited radio and edge computing resources to get offloaded tasks…

Machine Learning · Computer Science 2021-04-01 Mohamed Sana , Mattia Merluzzi , Nicola di Pietro , Emilio Calvanese Strinati

We consider the problem of allocating radio channels to links in a wireless network. Links interact through interference, modelled as a conflict graph (i.e., two interfering links cannot be simultaneously active on the same channel). We aim…

Machine Learning · Computer Science 2015-02-18 Marc Lelarge , Alexandre Proutiere , M. Sadegh Talebi

Battery powered transmitters face energy constraint, replenishing their energy by a renewable energy source (like solar or wind power) can lead to longer lifetime. We consider here the problem of finding the optimal power allocation under…

Systems and Control · Computer Science 2011-10-12 Abhinav Sinha , Prasanna Chaporkar

A common format for sports contests involves pairwise matches between two teams, with the #1 player of team A matched against the #1 player of team B, the #2 player of team A against the #2 player of team B, and so on. This paper addresses…

History and Overview · Mathematics 2014-04-07 Dana Mackenzie

In this work we study the problem of user association and resource allocation to maximize the proportional fairness of a wireless network with limited backhaul capacity. The optimal solution of this problem requires solving a mixed integer…

Networking and Internet Architecture · Computer Science 2025-01-28 Jorge Ortin , Jose Ramon Gallego , Maria Canales

Consider a fully-connected synchronous distributed system consisting of $n$ nodes, where up to $f$ nodes may be faulty and every node starts in an arbitrary initial state. In the synchronous $C$-counting problem, all nodes need to…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-01-18 Christoph Lenzen , Joel Rybicki

Lanchester's model of combat has certain deficiencies in its standard form arising from the neglect of the influence of random fluctuations. Several approaches to rectify this have been proposed and various results are scattered throughout…

Physics and Society · Physics 2019-05-09 Michael J. Kearney , Richard J. Martin

We formulate two versions of the power control problem for wireless networks with latency constraints arising from duty cycle allocations In the first version, strategic power optimization, wireless nodes are modeled as rational agents in a…

Networking and Internet Architecture · Computer Science 2009-09-29 Rajgopal Kannan , Shuangqing Wei

Diffusion models are vastly used in generative AI, leveraging their capability to capture complex data distributions. However, their potential remains largely unexplored in the field of resource allocation in wireless networks. This paper…

Systems and Control · Electrical Eng. & Systems 2024-07-23 Amirhassan Babazadeh Darabi , Sinem Coleri

We consider the problem of firefighting to save a critical subset of nodes. The firefighting game is a turn-based game played on a graph, where the fire spreads to vertices in a breadth-first manner from a source, and firefighters can be…

Data Structures and Algorithms · Computer Science 2017-06-01 Jayesh Choudhari , Anirban Dasgupta , Neeldhara Misra , M. S. Ramanujan

We study a sequential resource allocation problem between a fixed number of arms. On each iteration the algorithm distributes a resource among the arms in order to maximize the expected success rate. Allocating more of the resource to a…

Machine Learning · Computer Science 2018-03-29 Yuval Dagan , Koby Crammer