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We consider a system of $N$ parallel queues with identical exponential service rates and a single dispatcher where tasks arrive as a Poisson process. When a task arrives, the dispatcher always assigns it to an idle server, if there is any,…

Probability · Mathematics 2016-12-14 D. Mukherjee , S. C. Borst , J. S. H. van Leeuwaarden , P. A. Whiting

We present a novel characterization of how a program stresses cache. This characterization permits fast performance prediction in order to simulate and assist task scheduling on heterogeneous clusters. It is based on the estimation of stack…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-03-02 Xavier Grehant , Sverre Jarp

We study the problem of load balancing in distributed stream processing engines, which is exacerbated in the presence of skew. We introduce Partial Key Grouping (PKG), a new stream partitioning scheme that adapts the classical "power of two…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-17 Muhammad Anis Uddin Nasir , Gianmarco De Francisci Morales , David García-Soriano , Nicolas Kourtellis , Marco Serafini

We tackle in this paper an online network resource allocation problem with job transfers. The network is composed of many servers connected by communication links. The system operates in discrete time; at each time slot, the administrator…

Machine Learning · Statistics 2023-11-17 Ahmed Sid-Ali , Ioannis Lambadaris , Yiqiang Q. Zhao , Gennady Shaikhet , Amirhossein Asgharnia

We investigate an optimal scheduling problem in a discrete-time system of L parallel queues that are served by K identical, randomly connected servers. Each queue may be connected to a subset of the K servers during any given time slot.…

Information Theory · Computer Science 2016-10-05 Hussein Al-Zubaidy , Ioannis Lambadaris , Yannis Viniotis

Network based on distributed caching of content is a new architecture to alleviate the ongoing explosive demands for rate of multi-media traffic. In caching networks, coded caching is a recently proposed technique that achieves significant…

Information Theory · Computer Science 2017-10-16 Qifa Yan , Xiaohu Tang , Qingchun Chen

Joining the shortest or least loaded queue among $d$ randomly selected queues are two fundamental load balancing policies. Under both policies the dispatcher does not maintain any information on the queue length or load of the servers. In…

Performance · Computer Science 2021-01-25 Tim Hellemans , Benny Van Houdt

In this paper, we consider the service caching and the computing resource allocation in edge computing (EC) enabled networks. We introduce a random service caching design considering multiple types of latency sensitive services and the base…

Networking and Internet Architecture · Computer Science 2023-01-20 Mingun Kim , Hewon Cho , Ying Cui , Jemin Lee

Cache-aided content delivery is studied in a multi-server system with $P$ servers and $K$ users, each equipped with a local cache memory. In the delivery phase, each user connects randomly to any $\rho$ out of $P$ servers. Thanks to the…

Information Theory · Computer Science 2020-03-12 Nitish Mital , Deniz Gunduz , Cong Ling

We consider the allocation of $m$ balls (jobs) into $n$ bins (servers). In the Two-Choice process, for each of $m$ sequentially arriving balls, two randomly chosen bins are sampled and the ball is placed in the least loaded bin. It is…

Discrete Mathematics · Computer Science 2023-03-15 Dimitrios Los , Thomas Sauerwald

Distributed systems store data objects redundantly to balance the data access load over multiple nodes. Load balancing performance depends mainly on 1) the level of storage redundancy and 2) the assignment of data objects to storage nodes.…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-12-19 Mehmet Aktas , Emina Soljanin

We consider the problem of distributed load balancing in heterogenous parallel server systems, where the service rate achieved by a user at a server depends on both the user and the server. Such heterogeneity typically arises in wireless…

Computer Science and Game Theory · Computer Science 2014-12-09 Se-Young Yun , Alexandre Proutiere

Dynamic load balancing lies at the heart of distributed caching. Here, the goal is to assign objects (load) to servers (computing nodes) in a way that provides load balancing while at the same time dynamically adjusts to the addition or…

Data Structures and Algorithms · Computer Science 2020-06-17 John Chen , Ben Coleman , Anshumali Shrivastava

We consider robust resource allocation of services in Clouds. More specifically, we consider the case of a large public or private Cloud platform that runs a relatively small set of large and independent services. These services are…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-10-22 Olivier Beaumont , Lionel Eyraud-Dubois , Paul Renaud-Goud

We address a centralized caching problem with unequal cache sizes. We consider a system with a server of files connected through a shared error-free link to a group of cache-enabled users where one subgroup has a larger cache size than the…

Information Theory · Computer Science 2018-05-16 Behzad Asadi , Lawrence Ong , Sarah J. Johnson

It is well-known that the power-of-d choices routing algorithm maximizes throughput and is heavy-traffic optimal in load balancing systems with homogeneous servers. However, if the servers are heterogeneous, throughput optimality does not…

Probability · Mathematics 2022-01-12 Daniela Hurtado-Lange , Siva Theja Maguluri

To facilitate load balancing, distributed systems store data redundantly. We evaluate the load balancing performance of storage schemes in which each object is stored at $d$ different nodes, and each node stores the same number of objects.…

Performance · Computer Science 2021-01-26 Mehmet Fatih Aktas , Amir Behrouzi-Far , Emina Soljanin , Philip Whiting

In a computing center with a huge amount of machines, when a job arrives, a dispatcher need to decide which machine to route this job to based on limited information. A classical method, called the power-of-$d$ choices algorithm is to pick…

Probability · Mathematics 2024-12-20 Dengwang Tang , Vijay G. Subramanian

Fat-tree networks have been widely adopted to High Performance Computing (HPC) clusters and to Data Center Networks (DCN). These parallel systems usually have a large number of servers and hosts, which generate large volumes of…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-31 Suzhen Wang , Jingjing Luo , Bruce Kwong-Bun Tong , Wing S. Wong

Emerging reconfigurable optical communication technologies allow to enhance datacenter topologies with demand-aware links optimized towards traffic patterns. This paper studies the algorithmic problem of jointly optimizing topology and…

Performance · Computer Science 2024-01-10 Wenkai Dai , Michael Dinitz , Klaus-Tycho Foerster , Long Luo , Stefan Schmid