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We study a make-to-order system with a finite set of customers. Production is stochastic with a nonlinear dependence between the ordered quantity and the production rate. Customers may have to queue until their turn arrives, and therefore…

Optimization and Control · Mathematics 2025-07-29 Refael Hassin , Jiesen Wang

We consider a generalized processing system having several queues, where the available service rate combinations are fluctuating over time due to reliability and availability variations. The objective is to allocate the available resources,…

Networking and Internet Architecture · Computer Science 2011-05-04 Kevin Ross , Nicholas Bambos , George Michailidis

We develop rare-event simulation methodology for the analysis of loss events in a many-server loss system under quality-driven regime, focusing on the steady-state loss probability (i.e. fraction of lost customers over arrivals) and the…

Probability · Mathematics 2012-01-18 Jose Blanchet , Henry Lam

Proper management of resources whose arrival and consumption are subject to environmental randomness is an intrinsic process in both natural and artificial systems. This phenomenon can be modeled as a queuing process whose arrival…

Statistical Mechanics · Physics 2026-05-18 José Giral-Barajas , Paul C. Bressloff

Redundancy mechanisms consist in sending several copies of a same job to a subset of servers. It constitutes one of the most promising ways to exploit diversity in multiservers applications. However, its pros and cons are still not…

Performance · Computer Science 2021-03-22 Elene Anton , Urtzi Ayesta , Matthieu Jonckheere , Ina Maria Verloop

We investigate the long-run behavior of single-server queues with Hawkes arrivals and general service distributions and related optimization problems. In detail, utilizing novel coupling techniques, we establish finite moment bounds for the…

Probability · Mathematics 2023-11-14 Xinyun Chen , Guiyu Hong

Today we rely on networks that are created and maintained by smart devices. For such networks, there is no governing central authority but instead the network structure is shaped by the decisions of selfish intelligent agents. A key…

Computer Science and Game Theory · Computer Science 2025-01-20 Julian Berger , Tobias Friedrich , Pascal Lenzner , Paraskevi Machaira , Janosch Ruff

Edge computing enables latency-critical applications to process data close to end devices, yet task heterogeneity and limited resources pose significant challenges to efficient orchestration. This paper presents a measurement-driven,…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-01 Yongmin Zhang , Pengyu Huang , Mingyi Dong , Jing Yao

Serverless computing is an emerging cloud computing paradigm for developing applications at the function level, known as serverless functions. Due to the highly dynamic execution environment, multiple identical runs of the same serverless…

Software Engineering · Computer Science 2025-01-14 Jinfeng Wen , Zhenpeng Chen , Federica Sarro , Shangguang Wang

Multi-agent systems powered by large language models have emerged as a promising paradigm for solving complex reasoning tasks through collaborative intelligence. However, efficiently deploying these systems on serverless GPU platforms…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-05 Guilin Zhang , Wulan Guo , Ziqi Tan

We study online task allocation for multi-robot, multi-queue systems with asymmetric stochastic arrivals and switching delays. We formulate the problem in discrete time: each location can host at most one robot per slot, servicing a task…

Systems and Control · Electrical Eng. & Systems 2026-04-07 Mohammad Merati , H. M. Sabbir Ahmad , Wenchao Li , David Castañón

In the near future, massively parallel computing systems will be necessary to solve computation intensive applications. The key bottleneck in massively parallel implementation of numerical algorithms is the synchronization of data across…

Systems and Control · Computer Science 2015-03-16 Kooktae Lee , Raktim Bhattacharya , Vijay Gupta

Today's datacenters face important challenges for providing low-latency high-quality interactive services to meet user's expectation. For improving the application throughput, recent research works have embedded application deadline…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-02-04 Ming-Hung Chen , Shi-Chen Wang , Cheng-Fu Chou

In service exchange platforms, anonymous users exchange services with each other: clients request services and are matched to servers who provide services. Because providing good-quality services requires effort, in any single interaction a…

Computer Science and Game Theory · Computer Science 2013-10-10 Yuanzhang Xiao , Mihaela van der Schaar

Serving systems for Large Language Models (LLMs) improve throughput by processing several requests concurrently. However, multiplexing hardware resources between concurrent requests involves non-trivial scheduling decisions. Practical…

Machine Learning · Computer Science 2025-01-29 Ferdi Kossmann , Bruce Fontaine , Daya Khudia , Michael Cafarella , Samuel Madden

Motivated by the growing interest in today's massive parallel computing capabilities we analyze a queueing network with many servers in parallel to which jobs arrive a according to a Poisson process. Each job, upon arrival, is split into…

Probability · Mathematics 2015-07-20 Mariana Olvera-Cravioto , Octavio Ruiz-Lacedelli

We study a many-server queueing model with server vacations, where the population size dynamics of servers and customers are coupled: a server may leave for vacation only when no customers await, and the capacity available to customers is…

Probability · Mathematics 2020-03-11 Rami Atar , Prasenjit Karmakar , David Lipshutz

This paper studies information asymmetry in an unobservable single-server queueing system. While system managers have knowledge of the true arrival rate, customers may lack this information and instead form arbitrary beliefs. We propose a…

Optimization and Control · Mathematics 2025-10-14 Shunan Zheng , John Hasenbein

Cloud computing infrastructures increasingly rely on geographically distributed data centers to meet the growing demand for low latency, high availability, and cost-efficient service delivery. In this context, load balancing plays a…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-12 Saeid Aghasoleymani Najafabadi , Elaheh Nabavi Nia

In this paper, equilibrium strategies and optimal balking strategies of customers in a constant retrial queue with multiple vacations and the $N$-policy under two information levels, respectively, are investigated. We assume that there is…

Probability · Mathematics 2020-05-04 Zhen Wang , Liwei Liu , Yiqiang Q. Zhao