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In this study, we consider multi-class multi-server asymmetric queueing systems consisting of $N$ queues on one side and $K$ servers on the other side, where jobs randomly arrive in queues at each time. The service rate of each job-server…

Machine Learning · Statistics 2025-05-07 Jung-hun Kim , Min-hwan Oh

A multiple server setting is considered, where each server has tunable speed, and increasing the speed incurs an energy cost. Jobs arrive to a single queue, and each job has two types of sub-tasks, map and reduce, and a {\bf precedence}…

Data Structures and Algorithms · Computer Science 2021-05-20 Rahul Vaze , Jayakrishnan Nair

In this paper, we discuss and compare several policies to place replicas in tree networks, subject to server capacity and QoS constraints. The client requests are known beforehand, while the number and location of the servers are to be…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-08-16 Yves Robert , Anne Benoit , Veronika Rehn

In this paper, we consider a load balancing system under a general pull-based policy. In particular, each arrival is randomly dispatched to one of the servers whose queue lengths are below a threshold, if there are any; otherwise, this…

Performance · Computer Science 2018-08-22 Xingyu Zhou , Jian Tan , Ness Shroff

Key-based workload partitioning is a common strategy used in parallel stream processing engines, enabling effective key-value tuple distribution over worker threads in a logical operator. While randomized hashing on the keys is capable of…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-12-14 Junhua Fang , Rong Zhang , Tom Z. J. Fu , Zhenjie Zhang , Aoying Zhou , Junhua Zhu

We study a two-type server queueing system where flexible Type-I servers, upon their initial interaction with jobs, decide in real time whether to process them independently or in collaboration with dedicated Type-II servers. Independent…

Optimization and Control · Mathematics 2026-01-21 Shuwen Lu , Mark E. Lewis , Jamol Pender

We consider a model inspired by compatibility constraints that arise between tasks and servers in data centers, cloud computing systems and content delivery networks. The constraints are represented by a bipartite graph or network that…

Probability · Mathematics 2024-04-10 Diego Goldsztajn , Sem C. Borst , Johan S. H. van Leeuwaarden

In this paper, we analyze the performance of random load resampling and migration strategies in parallel server systems. Clients initially attach to an arbitrary server, but may switch server independently at random instants of time in an…

Networking and Internet Architecture · Computer Science 2010-04-12 A. Ganesh , S. Lilienthal , D. Manjunath , A. Proutiere , F. Simatos

Redundancy scheduling has emerged as a powerful strategy for improving response times in parallel-server systems. The key feature in redundancy scheduling is replication of a job upon arrival by dispatching replicas to different servers.…

Probability · Mathematics 2019-10-24 Youri Raaijmakers , Sem Borst , Onno Boxma

We study the multiserver-job setting in the load-focused multilevel scaling limit, where system load approaches capacity much faster than the growth of the number of servers $n$. We consider the ``1 and $n$'' system, where each job requires…

Performance · Computer Science 2026-04-01 Isaac Grosof , Hayriye Ayhan

In modern computer systems, jobs are divided into short tasks and executed in parallel. Empirical observations in practical systems suggest that the task service times are highly random and the job service time is bottlenecked by the…

Performance · Computer Science 2017-02-08 Yin Sun , C. Emre Koksal , Ness B. Shroff

We aim to maximize the energy efficiency, gauged as average energy cost per job, in a large-scale server farm with various storage or/and computing components modeled as parallel abstracted servers. Each server operates in multiple power…

Optimization and Control · Mathematics 2023-10-23 Jing Fu , Xinyu Wang , Zengfu Wang , Moshe Zukerman

Multiserver-job systems, where jobs require concurrent service at many servers, occur widely in practice. Essentially all of the theoretical work on multiserver-job systems focuses on maximizing utilization, with almost nothing known about…

Performance · Computer Science 2022-11-08 Isaac Grosof , Ziv Scully , Mor Harchol-Balter , Alan Scheller-Wolf

In multi-server queueing systems where there is no central queue holding all incoming jobs, job dispatching policies are used to assign incoming jobs to the queue at one of the servers. Classic job dispatching policies such as…

Systems and Control · Electrical Eng. & Systems 2021-06-11 Tuhinangshu Choudhury , Gauri Joshi , Weina Wang , Sanjay Shakkottai

We consider a discrete-time system comprising a first-come-first-served queue, a non-preemptive server, and a scheduler that governs the assignment of tasks in the queue to the server. The server has an availability state that indicates, at…

Applications · Statistics 2021-01-15 Michael Lin , Richard J. La , Nuno C. Martins

In the context of decision making under explorable uncertainty, scheduling with testing is a powerful technique used in the management of computer systems to improve performance via better job-dispatching decisions. Upon job arrival, a…

Performance · Computer Science 2025-02-13 Jonatha Anselmi , Josu Doncel

Parallel server systems in transportation, manufacturing, and computing heavily rely on dynamic routing using connected cyber components for computation and communication. Yet, these components remain vulnerable to random malfunctions and…

Systems and Control · Electrical Eng. & Systems 2023-08-22 Qian Xie , Jiayi Wang , Li Jin

We provide a queueing-theoretic framework for job replication schemes based on the principle "\emph{replicate a job as soon as the system detects it as a \emph{straggler}}". This is called job \emph{speculation}. Recent works have analyzed…

Performance · Computer Science 2025-02-23 Jonatha Anselmi , Neil Walton

In this paper, we study systems where each job or request can be split into a flexible number of sub-jobs up to a maximum limit. The number of sub-jobs a job is split into depends on the number of available servers found upon its arrival.…

Probability · Mathematics 2023-09-04 Samira Ghanbarian , Arpan Mukhopadhyay , Fabrice M. Guillemin , Ravi R. Mazumdar

Home repair and installation services require technicians to visit customers and resolve tasks of different complexity. Technicians often have heterogeneous skills and working experiences. The geographical spread of customers makes…

Artificial Intelligence · Computer Science 2024-09-04 Jonas Stein , Florentin D Hildebrandt , Barrett W Thomas , Marlin W Ulmer