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We study the problem of computing the capacity of a discrete memoryless channel under uncertainty affecting the channel law matrix, and possibly with a constraint on the average cost of the input distribution. The problem has been…

Information Theory · Computer Science 2018-05-28 Krzysztof Postek , Aharon Ben-Tal

Motivated by fairness concerns, we study the `portfolio problem': given an optimization problem with set $D$ of feasible solutions, a class $\mathbf{C}$ of fairness objective functions on $D$, and an approximation factor $\alpha \ge 1$, a…

Data Structures and Algorithms · Computer Science 2024-09-24 Swati Gupta , Jai Moondra , Mohit Singh

Complexity of the Operations Research Theory tasks can be often diminished in cases that do not require finding the exact solution. For example, forecasting two-dimensional hierarchical time series leads us to the transportation problem…

Optimization and Control · Mathematics 2019-09-06 S. V. Rotin , I. V. Gusakov , V. Ya. Gusakov

Uncertainty often plays an important role in dynamic flow problems. In this paper, we consider both, a stationary and a dynamic flow model with uncertain boundary data on networks. We introduce two different ways how to compute the…

Numerical Analysis · Mathematics 2021-04-28 Michael Schuster , Elisa Strauch , Martin Gugat , Jens Lang

The problem of scheduling jobs on parallel machines (identical, uniform, or unrelated), under incompatibility relation modeled as a block graph, under the makespan optimality criterion, is considered in this paper. No two jobs that are in…

Discrete Mathematics · Computer Science 2024-03-05 Hanna Furmańczyk , Tytus Pikies , Inka Sokołowska , Krzysztof Turowski

The stochastic knapsack problem is the stochastic variant of the classical knapsack problem in which the algorithm designer is given a a knapsack with a given capacity and a collection of items where each item is associated with a profit…

Data Structures and Algorithms · Computer Science 2017-12-05 Anindya De

It is well-known that for infinitely repeated games, there are computable strategies that have best responses, but no computable best responses. These results were originally proved for either specific games (e.g., Prisoner's dilemma), or…

Computer Science and Game Theory · Computer Science 2020-06-11 Jakub Dargaj , Jakob Grue Simonsen

Today's multiagent systems have grown too complex to rely on centralized controllers, prompting increasing interest in the design of distributed algorithms. In this respect, game theory has emerged as a valuable tool to complement more…

Systems and Control · Computer Science 2020-02-19 Rahul Chandan , Dario Paccagnan , Jason R. Marden

The multi-commodity flow (MCF) problem is a fundamental topic in network flow and combinatorial optimization, with broad applications in transportation, communication, and logistics, etc. Nowadays, the rapid expansion of allocation systems…

Machine Learning · Computer Science 2026-02-12 Xinyu Yuan , Yan Qiao , Zonghui Wang , Wenzhi Chen

Millions of flows are routed concurrently through a modern data-center. These networks are often built as Clos topologies, and flow demands are constrained only by the link capacities at the ingress and egress points. The minimum congestion…

Networking and Internet Architecture · Computer Science 2025-05-08 Miguel Ferreira , Nirav Atre , Justine Sherry , Michael Dinitz , João Luís Sobrinho

Given two independent point processes and a certain rule for matching points between them, what is the fraction of matched points over infinitely long streams? In many application contexts, e.g., secure networking, a meaningful matching…

Information Theory · Computer Science 2016-11-17 Stefano Marano , Vincenzo Matta , Ting He , Lang Tong

We consider the problem of routing for logistics purposes, in a contested environment where an adversary attempts to disrupt the vehicle along the chosen route. We construct a game-theoretic model that captures the problem of optimal…

Computer Science and Game Theory · Computer Science 2025-08-15 Jakub Černý , Garud Iyengar , Christian Kroer

The construction of a cost minimal network for flows obeying physical laws is an important problem for the design of electricity, water, hydrogen, and natural gas infrastructures. We formulate this problem as a mixed-integer non-linear…

Optimization and Control · Mathematics 2025-03-31 Pascal Börner , Max Klimm , Annette Lutz , Marc E. Pfetsch , Martin Skutella , Lea Strubberg

A distributed algorithm is self-stabilizing if after faults and attacks hit the system and place it in some arbitrary global state, the systems recovers from this catastrophic situation without external intervention in finite time.…

Data Structures and Algorithms · Computer Science 2009-09-29 Samuel Bernard , Stéphane Devismes , Maria Gradinariu Potop-Butucaru , Sébastien Tixeuil

Coordination is a desirable feature in many multi-agent systems such as robotic and socioeconomic networks. We consider a task allocation problem as a binary networked coordination game over an undirected regular graph. Each agent in the…

Systems and Control · Electrical Eng. & Systems 2023-10-02 Yifei Zhang , Marcos M. Vasconcelos

The majority of available numerical algorithms for interfacial two-phase flows either treat both fluid phases as incompressible (constant density) or treat both phases as compressible (variable density). This presents a limitation for the…

Computational Physics · Physics 2022-01-20 Fabian Denner , Berend van Wachem

We consider turn-based stochastic two-player games with a combination of a parity condition that must hold surely, that is in all possible outcomes, and of a parity condition that must hold almost-surely, that is with probability 1. The…

Computer Science and Game Theory · Computer Science 2026-01-08 Laurent Doyen , Shibashis Guha

In this paper we use game theoretic techniques to study the value of cooperation in distributed spectrum management problems. We show that the celebrated iterative water-filling algorithm is subject to the prisoner's dilemma and therefore…

Information Theory · Computer Science 2007-07-13 Amir Laufer , Amir Leshem , Hagit Messer

We propose a new algorithm for the solution of the robust multiple-load topology optimization problem. The algorithm can be applied to any type of problem, e.g., truss topology, variable thickness sheet or free material optimization. We…

Optimization and Control · Mathematics 2013-07-30 Michal Kocvara

Flows in networks (or graphs) play a significant role in numerous computer vision tasks. The scalar-valued edges in these graphs often lead to a loss of information and thereby to limitations in terms of expressiveness. For example,…

Computer Vision and Pattern Recognition · Computer Science 2023-05-16 Viktoria Ehm , Daniel Cremers , Florian Bernard