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We investigate the stability condition for redundancy-d systems where each of the servers follows a processor-sharing (PS) discipline. We allow for generally distributed job sizes, with possible dependence among the d replica sizes being…

Probability · Mathematics 2020-03-09 Youri Raaijmakers , Sem Borst , Onno Boxma

We present and study a new model for energy-aware and profit-oriented scheduling on a single processor. The processor features dynamic speed scaling as well as suspension to a sleep mode. Jobs arrive over time, are preemptable, and have…

Data Structures and Algorithms · Computer Science 2012-09-14 Peter Kling , Andreas Cord-Landwehr , Frederik Mallmann-Trenn

The Flexible Job-shop Scheduling Problem (FJSP) is an important combinatorial optimization problem that arises in manufacturing and service settings. FJSP is composed of two subproblems, an assignment problem that assigns tasks to machines,…

Artificial Intelligence · Computer Science 2023-01-25 Wenbo Chen , Reem Khir , Pascal Van Hentenryck

Occupancy models involve both the probability a site is occupied and the probability occupancy is detected. The homogeneous occupancy model, where the occupancy and detection probabilities are the same at each site, admits an orthogonal…

Methodology · Statistics 2018-08-10 N. Karavarsamis , R. M. Huggins

We study a job-assignment problem in a large-scale server farm system with geographically deployed servers as abstracted computer components (e.g., storage, network links, and processors) that are potentially diverse. We aim to maximize the…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-03-30 Jing Fu , Bill Moran

Optimal queueing control of multi-hop networks remains a challenging problem even in the simplest scenarios. In this paper, we consider a two-hop half-duplex relaying system with random channel connectivity. The relay is equipped with a…

Information Theory · Computer Science 2015-10-28 Bo Zhou , Ying Cui , Meixia Tao

In network slicing, the network operator needs to satisfy the service level agreements of multiple slices at the same time and on the same physical infrastructure. To do so with reduced provisioned resources, the operator may consider…

Networking and Internet Architecture · Computer Science 2024-04-30 Panagiotis Nikolaidis , John Baras

The paper studies distributed binary hypothesis testing over a two-hop relay network where both the relay and the receiver decide on the hypothesis. Both communication links are subject to expected rate constraints, which differs from the…

Information Theory · Computer Science 2021-05-28 Mustapha Hamad , Michèle Wigger , Mireille Sarkiss

An important fundamental problem in green communications and networking is the operation of servers (routers or base stations) with sleeping mechanism to optimize energy-delay tradeoffs. This problem is very challenging when considering…

Information Theory · Computer Science 2017-11-22 Zhiyuan Jiang , Bhaskar Krishnamachari , Sheng Zhou , Zhisheng Niu

Efficient parallelism is necessary for achieving low-latency, high-throughput inference with large language models (LLMs). Tensor parallelism (TP) is the state-of-the-art method for reducing LLM response latency, however GPU communications…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-27 Mert Hidayetoglu , Aurick Qiao , Michael Wyatt , Jeff Rasley , Yuxiong He , Samyam Rajbhandari

There is a growing interest in development of in-network dispersed computing paradigms that leverage the computing capabilities of heterogeneous resources dispersed across the network for processing massive amount of data is collected at…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-28 Chien-Sheng Yang , Ramtin Pedarsani , A. Salman Avestimehr

We study scheduling control of parallel processing networks in which some resources need to simultaneously collaborate to perform some activities and some resources multitask. Resource collaboration and multitasking give rise to…

Optimization and Control · Mathematics 2020-12-29 Erhun Özkan

In multi-stage processes, decisions happen in an ordered sequence of stages. Many of them have the structure of dual funnel problem: as the sample size decreases from one stage to the other, the information increases. A related example is a…

Machine Learning · Computer Science 2020-06-03 Andre Mendes , Julian Togelius , Leandro dos Santos Coelho

The proliferation of large-scale AI and data-intensive applications has driven the development of Computing Power Networks (CPN). It is a key paradigm for delivering ubiquitous, on-demand computational services with high efficiency.…

Networking and Internet Architecture · Computer Science 2026-02-04 Haoxiang Luo , Kun Yang , Qi Huang , Marco Aiello , Schahram Dustdar

This paper introduces the Trailer Path Optimization with Schedule Services Problem (TPOSSP) and proposes a column-generation heuristic (CG-heuristic) to find high-quality solutions to large-scale instances. The TPOSSP aims at determining…

Optimization and Control · Mathematics 2025-07-29 Mohammed Faisal Ahmed , Pascal Van Hentenryck , Ahmed El Nashar

This study considers the estimation of the complementary cumulative distribution function of the occupation time (i.e., the time spent below a threshold) for a process governed by a stochastic differential equation. The focus is on the…

Numerical Analysis · Mathematics 2026-01-15 Eya Ben Amar , Nadhir Ben Rached , Raul Tempone

Channel idle time distribution based secondary transmission strategies have been studied intensively in the literature. Under various performance metrics, the ultimate performance of secondary devices are eventually dictated by the presumed…

Networking and Internet Architecture · Computer Science 2016-05-03 Yingxi Liu , Ahmed Tewfik

We consider energy minimization for data-intensive applications run on large number of servers, for given performance guarantees. We consider a system, where each incoming application is sent to a set of servers, and is considered to be…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-19 Ajay Badita , Rooji Jinan , Balajee Vamanan , Parimal Parag

Micro-transit services offer a promising solution to enhance urban mobility and access, particularly by complementing existing public transit. However, effectively designing these services requires determining optimal service zones for…

Optimization and Control · Mathematics 2025-09-16 Hins Hu , Rhea Goswami , Hongyi Jiang , Samitha Samaranayake

In the last two decades the study of random instances of constraint satisfaction problems (CSPs) has flourished across several disciplines, including computer science, mathematics and physics. The diversity of the developed methods, on the…

Combinatorics · Mathematics 2025-07-02 Konstantinos Panagiotou , Matija Pasch
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