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Models of parallel processing systems typically assume that one has $l$ workers and jobs are split into an equal number of $k=l$ tasks. Splitting jobs into $k > l$ smaller tasks, i.e. using ``tiny tasks'', can yield performance and…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-02-24 Stefan Bora , Brenton Walker , Markus Fidler

We propose a fair and efficient solution for assigning agents to m posts subject to congestion, when agents care about both their post and its congestion. Examples include assigning jobs to busy servers, students to crowded schools or…

Theoretical Economics · Economics 2024-02-23 Anna Bogomolnaia , Herve Moulin

This paper studies a class of load balancing algorithms for many-server ($N$ servers) systems assuming finite buffer with size $b-1$ (i.e. a server can have at most one job in service and $b-1$ jobs in queue). We focus on steady-state…

Probability · Mathematics 2018-04-10 Xin Liu , Lei Ying

Retailers use a variety of mechanisms to enable sales and delivery. A relatively new offering by companies is curbside pickup where customers purchase goods online, schedule a pickup time, and come to a pickup facility to receive their…

Optimization and Control · Mathematics 2020-05-27 Bahar Çavdar , Tuğçe Işık

Traditionally, research focusing on the design of routing and staffing policies for service systems has modeled servers as having fixed (possibly heterogeneous) service rates. However, service systems are generally staffed by people.…

Computer Science and Game Theory · Computer Science 2016-03-24 Ragavendran Gopalakrishnan , Sherwin Doroudi , Amy R. Ward , Adam Wierman

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

The emergence of cloud computing based on virtualization technologies brings huge opportunities to host virtual resource at low cost without the need of owning any infrastructure. Virtualization technologies enable users to acquire,…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-03-08 Minxian Xu , Wenhong Tian , Rajkumar Buyya

Algorithms, policies, and methodologies are necessary to achieve high user satisfaction and practical utilization in cloud computing by ensuring the efficient and fair allocation of every computing resource. Whenever a new job arrives in…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-12 Mohammed Radi

With multiple identical unit speed servers, the online problem of scheduling jobs that migrate between two phases, limitedly parallelizable or completely sequential, and choosing their respective speeds to minimize the total flow time is…

Data Structures and Algorithms · Computer Science 2022-05-03 Rahul Vaze

The allocation of computing tasks for networked distributed services poses a question to service providers on whether centralized allocation management be worth its cost. Existing analytical models were conceived for users accessing…

Computer Science and Game Theory · Computer Science 2024-04-09 Vincenzo Mancuso , Paolo Castagno , Leonardo Badia , Matteo Sereno , Marco Ajmone Marsan

Stochastic service systems describe situations in which customers compete for service from scarce resources. Think of check-in lines at airports, waiting rooms in hospitals or queues in supermarkets, where the scarce resource is human…

Probability · Mathematics 2017-06-30 Britt W. J. Mathijsen

Arrival processes to service systems often display fluctuations that are larger than anticipated under the Poisson assumption, a phenomenon that is referred to as overdispersion. Motivated by this, we analyze a class of discrete stochastic…

In Cloud systems, we often deal with jobs that arrive and depart in an online manner. Upon its arrival, a job should be assigned to a server. Each job has a size which defines the amount of resources that it needs. Servers have uniform…

Data Structures and Algorithms · Computer Science 2014-08-20 Shahin Kamali , Alejandro López-Ortiz

This article analyzes two classes of job selection policies that control how a network of autonomous aerial vehicles delivers goods from depots to customers. Customer requests (jobs) occur according to a spatio-temporal stochastic process…

Multiagent Systems · Computer Science 2018-09-05 Pasquale Grippa , Doris A. Behrens , Christian Bettstetter , Friederike Wall

Advance reservation is important to guarantee the quality of services of jobs by allowing exclusive access to resources over a defined time interval on resources. It is a challenge for the scheduler to organize available resources…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-03-06 Bo Li , Yijian Pei , Bin Shen , Hao Wu , Min He , Jundong Yang

A broad class of parallel server systems is considered, for which we prove the steady-state asymptotic independence of server workloads, as the number of servers goes to infinity, while the system load remains sub-critical. Arriving jobs…

Probability · Mathematics 2020-12-21 Seva Shneer , Alexander Stolyar

Multiserver-job systems, where jobs require concurrent service at many servers, occur widely in practice. Much is known in the dropping setting, where jobs are immediately discarded if they require more servers than are currently available.…

Performance · Computer Science 2020-10-05 Isaac Grosof , Mor Harchol-Balter , Alan Scheller-Wolf

Nowadays, more and more increasingly hard computations are performed in challenging fields like weather forecasting, oil and gas exploration, and cryptanalysis. Many of such computations can be implemented using a computer cluster with a…

Performance · Computer Science 2016-10-27 Freek van den Berg , Björn F. Postema , Boudewijn R. Haverkort

The recruitment process is a slow and inefficient one at best, and a potentially ineffective one at worst. Matching candidates to jobs is one thing, but matching candidates with jobs alongside appropriate expectations and taking into…

Computers and Society · Computer Science 2016-08-24 Martin A. Coleman

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
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