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In this paper, we study joint batching and (task) scheduling to maximise the throughput (i.e., the number of completed tasks) under the practical assumptions of heterogeneous task arrivals and deadlines. The design aims to optimise the…

Signal Processing · Electrical Eng. & Systems 2023-07-28 Yihan Cang , Ming Chen , Kaibin Huang

Optical switching has been considered as a natural choice to keep pace with growing fiber link capacity. One key research issue of all-optical switching is the design of optical queues by using optical crossbar switches and fiber delay…

Information Theory · Computer Science 2016-11-15 Bin Tang , Xiaoliang Wang , Cam-Tu Nguyen , Sanglu Lu

Content caching at the edge of network is a promising technique to alleviate the burden of backhaul networks. In this paper, we consider content caching along time in a base station with limited cache capacity. As the popularity of contents…

Networking and Internet Architecture · Computer Science 2020-01-14 Ghafour Ahani , Di Yuan

For wireless systems in which randomly arriving devices attempt to transmit a fixed payload to a central receiver, we develop a framework to characterize the system throughput as a function of arrival rate and per-user data rate. The…

Information Theory · Computer Science 2013-10-04 Harpreet S. Dhillon , Howard C. Huang , Harish Viswanathan , Reinaldo A. Valenzuela

The back-pressure algorithm is a well-known throughput-optimal algorithm. However, its delay performance may be quite poor even when the traffic load is not close to network capacity due to the following two reasons. First, each node has to…

Networking and Internet Architecture · Computer Science 2010-05-31 Loc Bui , R. Srikant , Alexander Stolyar

The size of collections, maps, and data structures in general, constitutes a fundamental property. An implementation of the size method is required in most programming environments. Nevertheless, in a concurrent environment, integrating a…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-06-23 Hen Kas-Sharir , Gal Sela , Erez Petrank

The Join-the-Shortest-Queue (JSQ) load-balancing scheme is known to minimise the average delay of jobs in homogeneous systems consisting of identical servers. However, it performs poorly in heterogeneous systems where servers have different…

Probability · Mathematics 2022-10-04 Sanidhay Bhambay , Arpan Mukhopadhyay

Nowadays distributed computing approach has become very popular due to several advantages over the centralized computing approach as it also offers high performance computing at a very low cost. Each router implements some queuing mechanism…

Networking and Internet Architecture · Computer Science 2019-10-10 Taskeen Zaidi , Nitya Nand Dwivedi

In this work, we address the delay optimal scheduling problem for wireless transmission with fixed modulation over multi-state fading channels. We propose a stochastic scheduling policy which schedules the source to transmit with…

Information Theory · Computer Science 2015-09-18 Juan Liu , Wei Chen , Khaled B. Letaief

We consider the problem of packet scheduling in single-hop queueing networks, and analyze the impact of heavy-tailed traffic on the performance of Max-Weight scheduling. As a performance metric we use the delay stability of traffic flows: a…

Networking and Internet Architecture · Computer Science 2011-08-02 Mihalis G. Markakis , Eytan H. Modiano , John N. Tsitsiklis

In large-scale distributed systems, balancing the load in an efficient way is crucial in order to achieve low latency. Recently, some load balancing policies have been suggested which are able to achieve a bounded maximum queue length in…

Performance · Computer Science 2022-01-12 Tim Hellemans , Grzegorz Kielanski , Benny Van Houdt

We study a continuous-time, infinite-horizon dynamic bipartite matching problem. Suppliers arrive according to a Poisson process; while waiting, they may abandon the queue at a uniform rate. Customers on the other hand must be matched upon…

Data Structures and Algorithms · Computer Science 2025-06-03 Alireza AmaniHamedani , Ali Aouad , Amin Saberi

This paper studies a generalized busy-time scheduling model on heterogeneous machines. The input to the model includes a set of jobs and a set of machine types. Each job has a size and a time interval during which it should be processed.…

Data Structures and Algorithms · Computer Science 2021-05-14 Mozhengfu Liu , Xueyan Tang

This work investigates the effect of finite buffer sizes on the throughput capacity and packet delay of line networks with packet erasure links that have perfect feedback. These performance measures are shown to be linked to the stationary…

Information Theory · Computer Science 2016-11-15 Badri N. Vellambi , Nima Torabkhani , Faramarz Fekri

Despite the long history of research on slotted ALOHA, the exact analysis of the average delay is still in question as the performance of each node is coupled with the activity of other nodes. In this paper, we consider a network comprised…

Systems and Control · Electrical Eng. & Systems 2023-07-13 Seyed Ali Hashemian , Farid Ashtiani

Random delays between the occurrence of accident events and the corresponding reporting times of insurance claims is a standard feature of insurance data. The time lag between the reporting and the processing of a claim depends on whether…

Risk Management · Quantitative Finance 2024-09-17 Filip Lindskog , Mario V. Wüthrich

What determines the average length of a queue which stretches in front of a service station? The answer to this question clearly depends on the average rate at which jobs arrive at the queue and on the average rate of service. Somewhat less…

Statistical Mechanics · Physics 2022-08-16 Ofek Lauber Bonomo , Arnab Pal , Shlomi Reuveni

Streaming algorithms are fundamental in the analysis of large and online datasets. A key component of many such analytic tasks is $q$-MAX, which finds the largest $q$ values in a number stream. Modern approaches attain a constant runtime by…

Data Structures and Algorithms · Computer Science 2024-07-11 Ran Ben-Basat , Gil Einziger , Wenchen Han , Bilal Tayh

High-tech systems are typically produced in two stages: 1) Production of components using specialized equipment and staff; 2) System assembly/integration. Component production capacity is subject to fluctuations, causing a high risk of…

Probability · Mathematics 2024-04-18 Mirjam S. Meijer , Dennis Schol , Willem van Jaarsveld , Maria Vlasiou , Bert Zwart

Motivated by novel results in the theory of network synchronization, we analyze the effects of nonzero time delays in stochastic synchronization problems with linear couplings in an arbitrary network. We determine {\it analytically} the…

Cellular Automata and Lattice Gases · Physics 2015-05-19 Shahar Hod