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We consider a discrete-time parallel service system consisting of $n$ heterogeneous single server queues with infinite capacity. Jobs arrive to the system as an i.i.d. process with rate proportional to $n$, and must be immediately…

Performance · Computer Science 2025-05-30 Yishun Luo , Martin Zubeldia

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

We study a stochastic network that consists of a set of servers processing multiple classes of jobs. Each class of jobs requires a concurrent occupancy of several servers while being processed, and each server is shared among the job…

Optimization and Control · Mathematics 2007-05-23 Heng-Qing Ye , David D. Yao

Multiserver-job systems, where jobs require concurrent service at many servers, occur widely in practice. Essentially all of the theoretical work on multiserver-job systems focuses on maximizing utilization, with almost nothing known about…

Performance · Computer Science 2022-11-08 Isaac Grosof , Ziv Scully , Mor Harchol-Balter , Alan Scheller-Wolf

We study a multiclass M/M/1 queueing control problem with finite buffers under heavy-traffic where the decision maker is uncertain about the rates of arrivals and service of the system and by scheduling and admission/rejection decisions…

Probability · Mathematics 2019-03-19 Asaf Cohen

We consider a parallel system of $m$ identical machines prone to unpredictable crashes and restarts, trying to cope with the continuous arrival of tasks to be executed. Tasks have different computational requirements (i.e., processing time…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-03-21 Elli Zavou , Antonio Fernández Anta

We consider the problem of utility optimal scheduling in general \emph{processing networks} with random arrivals and network conditions. These are generalizations of traditional data networks where commodities in one or more queues can be…

Optimization and Control · Mathematics 2010-10-12 Longbo Huang , Michael J. Neely

The emergence of large-scale wireless networks with partially-observable and time-varying dynamics has imposed new challenges on the design of optimal control policies. This paper studies efficient scheduling algorithms for wireless…

Networking and Internet Architecture · Computer Science 2023-08-08 Quang Minh Nguyen , Eytan Modiano

We consider a queueing network in which there are constraints on which queues may be served simultaneously; such networks may be used to model input-queued switches and wireless networks. The scheduling policy for such a network specifies…

Probability · Mathematics 2012-03-07 Devavrat Shah , Damon Wischik

We consider a model inspired by compatibility constraints that arise between tasks and servers in data centers, cloud computing systems and content delivery networks. The constraints are represented by a bipartite graph or network that…

Probability · Mathematics 2024-04-10 Diego Goldsztajn , Sem C. Borst , Johan S. H. van Leeuwaarden

We consider a time-slotted communication system with a machine, a cloud server, and a sampler. Job requests from the users are queued on the server to be completed by the machine. The machine has two states, namely, a busy state and a free…

Information Theory · Computer Science 2025-02-21 Subhankar Banerjee , Sennur Ulukus

Motivated by medium access control for resource-challenged wireless Internet of Things (IoT), we consider the problem of queue scheduling with reduced queue state information. In particular, we consider a time-slotted scheduling model with…

Networking and Internet Architecture · Computer Science 2020-05-08 Avinash Mohan , Aditya Gopalan , Anurag Kumar

A multi-class single-server queueing model with finite buffers, in which scheduling and admission of customers are subject to control, is studied in the moderate deviation heavy traffic regime. A risk-sensitive cost set over a finite time…

Probability · Mathematics 2018-05-02 Rami Atar , Asaf Cohen

We study link scheduling in wireless networks under stochastic arrival processes of packets, and give an algorithm that achieves stability in the physical (SINR) interference model. The efficiency of such an algorithm is the fraction of the…

Networking and Internet Architecture · Computer Science 2012-03-20 Eyjolfur I. Asgeirsson , Magnus M. Halldorsson , Pradipta Mitra

The Maximum Differential Backlog (MDB) control policy of Tassiulas and Ephremides has been shown to adaptively maximize the stable throughput of multi-hop wireless networks with random traffic arrivals and queueing. The practical…

Networking and Internet Architecture · Computer Science 2007-05-23 Yufang Xi , Edmund M. Yeh

Recently, low-complexity and distributed Carrier Sense Multiple Access (CSMA)-based scheduling algorithms have attracted extensive interest due to their throughput-optimal characteristics in general network topologies. However, these…

Networking and Internet Architecture · Computer Science 2014-05-06 Bin Li , Atilla Eryilmaz

We consider a discrete-time system comprising a first-come-first-served queue, a non-preemptive server, and a scheduler that governs the assignment of tasks in the queue to the server. The server has an availability state that indicates, at…

Applications · Statistics 2021-01-15 Michael Lin , Richard J. La , Nuno C. Martins

Classical queuing network control strategies typically rely on accurate knowledge of model data, i.e., arrival and service rates. However, such data are not always available and may be time-variant. To address this challenge, we consider a…

Optimization and Control · Mathematics 2023-06-09 Qian Xie , Li Jin

The emerging connected-vehicle technology provides a new dimension in developing more intelligent traffic control algorithms for signalized intersections in networked transportation systems. An important challenge for the scheduling problem…

Networking and Internet Architecture · Computer Science 2017-01-20 Ping-Chun Hsieh , Xi Liu , Jian Jiao , I-Hong Hou , Yunlong Zhang , P. R. Kumar

We consider a dynamic server control problem for two parallel queues with randomly varying connectivity and server switchover time between the queues. At each time slot the server decides either to stay with the current queue or switch to…

Optimization and Control · Mathematics 2010-08-16 Guner D. Celik , Long B. Le , Eytan Modiano
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