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One practical open problem is the development of a distributed algorithm that achieves near-optimal utility using only a finite (and small) buffer size for queues in a stochastic network. This paper studies utility maximization (or cost…

Optimization and Control · Mathematics 2015-01-15 Sucha Supittayapornpong , Michael J. Neely

We give a memoryless scale-invariant randomized algorithm for the Buffer Management with Bounded Delay problem that is e/(e-1)-competitive against an adaptive adversary, together with better performance guarantees for many restricted…

Data Structures and Algorithms · Computer Science 2011-02-08 Łukasz Jeż

We study d-way balanced allocation, which assigns each incoming job to the lightest loaded among d randomly chosen servers. While prior work has extensively studied the performance of the basic scheme, there has been less published work on…

Performance · Computer Science 2026-01-19 Amer Diwan , Prabhakar Raghavan , Eli Upfal

While scheduling and dispatching of computational workloads is a well-investigated subject, only recently has Google provided publicly a vast high-resolution measurement dataset of its cloud workloads. We revisit dispatching and scheduling…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-27 Mert Yildiz , Alexey Rolich , Andrea Baiocchi

We consider a Markovian single server queue with impatient customers. There is a customer abandonment cost and a holding cost for customers in the system. We consider two versions of the problem. In the first version, customers pay a reward…

Optimization and Control · Mathematics 2025-11-12 Runhua Wu , Hayriye Ayhan

We derive lower bounds on the convergence speed of a widely used class of distributed averaging algorithms. In particular, we prove that any distributed averaging algorithm whose state consists of a single real number and whose (possibly…

Optimization and Control · Mathematics 2015-03-13 Alex Olshevsky , John N. Tsitsiklis

This paper studies load balancing for many-server ($N$ servers) systems. Each server has a buffer of size $b-1,$ and can have at most one job in service and $b-1$ jobs in the buffer. The service time of a job follows the Coxian-2…

Probability · Mathematics 2021-02-18 Xin Liu , Kang Gong , Lei Ying

Storage allocation affects important performance measures of distributed storage systems. Most previous studies on the storage allocation consider its effect separately either on the success of the data recovery or on the service rate…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-17 Moslem Noori , Emina Soljanin , Masoud Ardakani

A single server retrial queueing system with two-classes of orbiting customers, and general class dependent service times is considered. If an arriving customer finds the server unavailable, it enters a virtual queue, called the orbit,…

Probability · Mathematics 2018-02-22 Ioannis Dimitriou

We consider a class of multi-agent distributed synchronization systems, which are modeled as $n$ particles moving on the real line. This class generalizes the model of a multi-server queueing system, considered in [15], employing so-called…

Probability · Mathematics 2026-02-13 Alexander Stolyar

We explore the achievable delay performance in wireless random-access networks. While relatively simple and inherently distributed in nature, suitably designed queue-based random-access schemes provide the striking capability to match the…

Networking and Internet Architecture · Computer Science 2013-05-17 Niek Bouman , Sem Borst , Johan van Leeuwaarden

We consider a request processing system composed of organizations and their servers connected by the Internet. The latency a user observes is a sum of communication delays and the time needed to handle the request on a server. The handling…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-12-04 Piotr Skowron , Krzysztof Rzadca

Intelligent dispatching is crucial to obtaining low response times in large-scale systems. One common scalable dispatching paradigm is the ``power-of-$d$,'' in which the dispatcher queries $d$ servers at random and assigns the job to a…

Networking and Internet Architecture · Computer Science 2021-12-21 Jazeem Abdul Jaleel , Sherwin Doroudi , Kristen Gardner , Alexander Wickeham

In the problem of online load balancing on uniformly related machines with bounded migration, jobs arrive online one after another and have to be immediately placed on one of a given set of machines without knowledge about jobs that may…

Data Structures and Algorithms · Computer Science 2022-09-05 Marten Maack

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

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 a model of priced resource sharing that combines both queueing behavior and strategic behavior. We study a priority service model where a single server allocates its capacity to agents in proportion to their payment to the…

Computer Science and Game Theory · Computer Science 2012-06-05 Yu Wu , Loc Bui , Ramesh Johari

Motivated by applications of the Erlang-B blocking model and the extended $M/M/k/k+N$ model that allows for some queueing, beyond communication networks to sizing and pricing in production, messaging, and app-based parking systems, we study…

Systems and Control · Electrical Eng. & Systems 2025-11-25 Saghar Adler , Mehrdad Moharrami , Vijay Subramanian

Recent workload measurements in Google data centers provide an opportunity to challenge existing models and, more broadly, to enhance the understanding of dispatching policies in computing clusters. Through extensive data-driven…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-27 Mert Yildiz , Alexey Rolich , Andrea Baiocchi

Modern computing systems process jobs with resource requirements such as CPU and memory, which are described by multiresource jobs (MRJ) queueing models. In practice, job resource requirements are spread out over so many values, that it is…

Performance · Computer Science 2026-05-22 Heyuan Yao , Willow Kowalik , Izzy Grosof