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Load balancing is the process of improving the Performance of a parallel and distributed system through is distribution of load among the processors [1-2]. Most of the previous work in load balancing and distributed decision making in…

分布式、并行与集群计算 · 计算机科学 2009-10-05 Abbas Karimi , Faraneh Zarafshan , Adznan. b. Jantan , A. R Ramli , M. Iqbal b. Saripan

This paper studies the heavy-traffic joint distribution of queue lengths in two stochastic processing networks (SPN), viz., an input-queued switch operating under the MaxWeight scheduling policy and a two-server parallel server system…

概率论 · 数学 2023-09-19 Prakirt Raj Jhunjhunwala , Siva Theja Maguluri

We study a queueing system with Erlang arrivals with $k$ phases and Erlang service with $m$ phases. Transition rates among phases vary periodically with time. For these systems, we derive the asymptotic periodic distribution of the level…

概率论 · 数学 2021-07-29 Barbara Margolius

Consider a queueing system fed by traffic from $N$ independent and identically distributed marked point processes. We establish several novel sample path large deviations results in the scaled uniform topology for such a system with a small…

概率论 · 数学 2019-12-11 James R. Cruise , Fraser Daly , Bemsibom Toh

We study the problem of stabilizing an unknown partially observable linear time-invariant (LTI) system. For fully observable systems, leveraging an unstable/stable subspace decomposition approach, state-of-art sample complexity is…

系统与控制 · 电气工程与系统科学 2025-03-24 Ziyi Zhang , Yorie Nakahira , Guannan Qu

A parallel server system with $n$ identical servers is considered. The service time distribution has a finite mean $1/\mu$, but otherwise is arbitrary. Arriving customers are be routed to one of the servers immediately upon arrival.…

概率论 · 数学 2017-02-15 Sergey Foss , Alexander Stolyar

This paper studies the asymptotic behavior of the steady-state waiting time, W_infty, of the M/G/1 queue with subexponenential processing times for different combinations of traffic intensities and overflow levels. In particular, we provide…

概率论 · 数学 2011-03-22 Mariana Olvera-Cravioto , Peter W. Glynn

We develop a heavy traffic diffusion limit theorem under nonstandard spatial scaling for the queue length process in a single server queue employing shortest remaining processing time (SRPT). For processing time distributions with unbounded…

概率论 · 数学 2015-10-29 Amber L. Puha

We characterize heavy-traffic process and steady-state limits for systems staffed according to the square-root safety rule, when the service requirements of the customers are perfectly correlated with their individual patience for waiting…

概率论 · 数学 2020-09-01 Lun Yu , Ohad Perry

A fundamental challenge in large-scale cloud networks and data centers is to achieve highly efficient server utilization and limit energy consumption, while providing excellent user-perceived performance in the presence of uncertain and…

Distributed Stream Processing (DSP) systems enable processing large streams of continuous data to produce results in near to real time. They are an essential part of many data-intensive applications and analytics platforms. The rate at…

分布式、并行与集群计算 · 计算机科学 2021-08-11 Kordian Gontarska , Morgan Geldenhuys , Dominik Scheinert , Philipp Wiesner , Andreas Polze , Lauritz Thamsen

The Join-the-Shortest-Queue (JSQ) policy is among the most widely used load balancing algorithms and has been extensively studied. However, an exact characterization of the system behavior remains challenging. Most prior research has…

概率论 · 数学 2026-02-12 Yuanzhe Ma , Siva Theja Maguluri

Motivated by the growing demand for serving large language model inference requests, we study distributed load balancing for global serving systems with network latencies. We consider a fluid model in which continuous flows of requests…

分布式、并行与集群计算 · 计算机科学 2025-04-16 Santiago R. Balseiro , Vahab S. Mirrokni , Bartek Wydrowski

Throughput-optimal transmission scheduling in wireless networks has been a well considered problem in the literature, and the method for achieving optimality, MaxWeight scheduling, has been known for several decades. This algorithm achieves…

网络与互联网体系结构 · 计算机科学 2020-08-05 Thomas Stahlbuhk , Brooke Shrader , Eytan Modiano

In robotic systems, perception latency is a term that refers to the computing time measured from the data acquisition to the moment in which perception output is ready to be used to compute control commands. There is a compromise between…

系统与控制 · 电气工程与系统科学 2024-01-25 Rodrigo Aldana-López , Rosario Aragüés , Carlos Sagüés

The superiority of stochastic symplectic methods over non-symplectic counterparts has been verified by plenty of numerical experiments, especially in capturing the asymptotic behaviour of the underlying solution process. How can one…

数值分析 · 数学 2024-04-24 Chuchu Chen , Xinyu Chen , Tonghe Dang , Jialin Hong

Hierarchical statistical models are widely employed in information science and data engineering. The models consist of two types of variables: observable variables that represent the given data and latent variables for the unobservable…

机器学习 · 统计学 2014-02-21 Keisuke Yamazaki

Sampling arises simultaneously with input and output delays in networked control systems. When the delay is left uncompensated, the sampling period is generally required to be sufficiently small, the delay sufficiently short, and, for…

最优化与控制 · 数学 2010-12-13 Iasson Karafyllis , Miroslav Krstic

In this paper, we propose a filtering algorithm for simultaneously estimating the mode, input and state of hidden mode switched linear stochastic systems with unknown inputs. Using a multiple-model approach with a bank of linear input and…

最优化与控制 · 数学 2016-06-28 Sze Zheng Yong , Minghui Zhu , Emilio Frazzoli

A many-server queueing system is considered in which customers arrive according to a renewal process and have service and patience times that are drawn from two independent sequences of independent, identically distributed random variables.…

概率论 · 数学 2012-04-30 Weining Kang , Kavita Ramanan