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We consider a heterogeneous queueing system consisting of one large pool of $O(r)$ identical servers, where $r\to\infty$ is the scaling parameter. The arriving customers belong to one of several classes which determines the service times in…

概率论 · 数学 2011-05-04 David Gamarnik , Alexander Stolyar

Given a random variable $N$ with values in ${\mathbb{N}}$, and $N$ i.i.d. positive random variables $\{\mu_k\}$, we consider a queue with renewal arrivals and $N$ exponential servers, where server $k$ serves at rate $\mu_k$, under two work…

概率论 · 数学 2008-08-22 Rami Atar

Can the popular shortest remaining processing time (SRPT) algorithm achieve a constant competitive ratio on multiple servers when server speeds are adjustable (speed scaling) with respect to the flow time plus energy consumption metric?…

性能 · 计算机科学 2020-05-06 Rahul Vaze , Jayakrishnan Nair

Optimizing resource allocation for analytical workloads is vital for reducing costs of cloud-data services. At the same time, it is incredibly hard for users to allocate resources per query in serverless processing systems, and they…

This paper considers a cost minimization problem for data centers with N servers and randomly arriving service requests. A central router decides which server to use for each new request. Each server has three types of states (active, idle,…

分布式、并行与集群计算 · 计算机科学 2016-12-20 Xiaohan Wei , Michael J. Neely

We present a method for solving service allocation problems in which a set of services must be allocated to a set of agents so as to maximize a global utility. The method is completely distributed so it can scale to any number of services…

多智能体系统 · 计算机科学 2007-05-23 Jose M Vidal

We study optimal service pricing in server farms where customers arrive according to a renewal process and have independent and identical ($i.i.d.$) exponential service times and $i.i.d.$ valuations of the service. The service provider…

最优化与控制 · 数学 2026-01-01 Ashok Krishnan K. S , Chandramani Singh , Siva Theja Maguluri , Parimal Parag

Exact explicit results are derived for the distribution of the partial busy period of the M/M/c multi-server queue for a general number of servers. A rudimentary spectral method leads to a representation that is amenable to efficient…

概率论 · 数学 2023-09-06 Josef Zuk , David Kirszenblat

Efficient and fair allocation of multiple types of resources is a crucial objective in a cloud/distributed computing cluster. Users may have diverse resource needs. Furthermore, diversity in server properties/ capabilities may mean that…

分布式、并行与集群计算 · 计算机科学 2018-01-01 Jalal Khamse-Ashari , Ioannis Lambadaris , George Kesidis , Bhuvan Urgaonkar , Yiqiang Zhao

A two-sided matching system is considered, where servers are assumed to arrive at a fixed rate, while the arrival rate of customers is modulated via a price-control mechanism. We analyse a loss model, wherein customers who are not served…

最优化与控制 · 数学 2022-07-26 Rahul Vaze , Jayakrishnan Nair

Multi-server queueing systems are widely used models for job scheduling in machine learning, wireless networks, crowdsourcing, and healthcare systems. This paper considers a multi-server system with multiple servers and multiple types of…

机器学习 · 计算机科学 2023-06-05 Zixian Yang , R. Srikant , Lei Ying

With the fast development of video and voice network applications, CDN (Content Distribution Networks) and P2P (Peer-to-Peer) content distribution technologies have gradually matured. How to effectively use Internet resources thus has…

网络与互联网体系结构 · 计算机科学 2015-03-19 Huan He , Ke Xu , Ying Liu

We study the accumulation of resources within a target due to the interplay between continual delivery, driven by 1D stochastic search processes, and sequential consumption. The assumption of sequential consumption is key because it changes…

统计力学 · 物理学 2025-08-27 José Giral-Barajas , Paul C Bressloff

Resource allocation in distributed and networked systems such as the Cloud is becoming increasingly flexible, allowing these systems to dynamically adjust toward the workloads they serve, in a demand-aware manner. Online balanced…

数据结构与算法 · 计算机科学 2024-10-24 Harald Räcke , Stefan Schmid , Ruslan Zabrodin

In this paper, we study platforms where resources and jobs are spatially distributed, and resources have the flexibility to strategically move to different locations for better payoffs. The price of the service at each location depends on…

计算机科学与博弈论 · 计算机科学 2023-07-18 Ozan Candogan , Manxi Wu

With the rapid increase in the size and volume of cloud services and data centers, architectures with multiple job dispatchers are quickly becoming the norm. Load balancing is a key element of such systems. Nevertheless, current solutions…

分布式、并行与集群计算 · 计算机科学 2022-12-02 Guy Goren , Shay Vargaftik , Yoram Moses

Under the paradigm of Edge Computing (EC), a Network Operator (NO) deploys computational resources at the network edge and let third-party Service Providers (SPs) run on top of them, as tenants. Besides the clear advantages for SPs and…

分布式、并行与集群计算 · 计算机科学 2019-11-07 Andrea Araldo , Alessandro Di Stefano , Antonella Di Stefano

We first consider the static problem of allocating resources to ( i.e. , scheduling) multiple distributed application framework s, possibly with different priorities and server preferences , in a private cloud with heterogeneous servers.…

We study the optimal usage-based pricing problem in a resource-constrained network with one profit-maximizing service provider and multiple groups of surplus-maximizing users. With the assumption that the service provider knows the utility…

网络与互联网体系结构 · 计算机科学 2015-03-17 Shuqin Li , Jianwei Huang

The work here studies the communication cost for a multi-server multi-task distributed computation framework, and does so for a broad class of functions and data statistics. Considering the framework where a user seeks the computation of…

信息论 · 计算机科学 2024-05-15 Derya Malak , Mohammad Reza Deylam Salehi , Berksan Serbetci , Petros Elia