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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

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

Serverless computing has emerged as a compelling new paradigm of cloud computing models in recent years. It promises the user services at large scale and low cost while eliminating the need for infrastructure management. On cloud provider…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-01 Lucia Schuler , Somaya Jamil , Niklas Kühl

Modern data centers serve workloads which are capable of exploiting parallelism. When a job parallelizes across multiple servers it will complete more quickly, but jobs receive diminishing returns from being allocated additional servers.…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-11-20 Benjamin Berg , Rein Vesilo , Mor Harchol-Balter

The rapid growth of global data volumes has created a demand for scalable distributed systems that can maintain a high quality of service. Data replication is a widely used technique that provides fault tolerance, improved performance and…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-25 Amir Najjar , Riad Mokadem , Jean-Marc Pierson

Motivated by distributed schedulers that combine the power-of-d-choices with late binding and systems that use replication with cancellation-on-start, we study the performance of the LL(d) policy which assigns a job to a server that…

Performance · Computer Science 2018-02-16 Tim Hellemans , Benny Van Houdt

Modern data centers are tasked with processing heterogeneous workloads consisting of various classes of jobs. These classes differ in their arrival rates, size distributions, and job parallelizability. With respect to paralellizability,…

Performance · Computer Science 2020-05-21 Benjamin Berg , Mor Harchol-Balter , Benjamin Moseley , Weina Wang , Justin Whitehouse

Staff scheduling is a well-known problem in operations research and finds its application at hospitals, airports, supermarkets, and many others. Its goal is to assign shifts to staff members such that a certain objective function, e.g.…

Discrete Mathematics · Computer Science 2026-04-28 Debsankha Manik , Rico Raber

We consider algorithms for load balancing on unreliable machines. The objective is to optimize the two criteria of minimizing the makespan and minimizing job reassignments in response to machine failures. We assume that the set of jobs is…

Data Structures and Algorithms · Computer Science 2007-05-23 James Aspnes , Yang Richard Yang , Yitong Yin

The problem of scheduling jobs and choosing their respective speeds with multiple servers under a sum power constraint to minimize the flow time + energy is considered. This problem is a generalization of the flow time minimization problem…

Data Structures and Algorithms · Computer Science 2021-08-19 Rahul Vaze , Jayakrishnan Nair

We consider here the MultiBot problem for the scheduling and the resource parametrization of jobs related to the production or the transportation of different products inside a given time horizon. Those jobs must meet known in advance…

Data Structures and Algorithms · Computer Science 2024-01-02 Pierre Bergé , Mari Chaikovskaia , Jean-Philippe Gayon , Alain Quilliot

We consider a large-scale parallel-server system, where each server independently adjusts its processing speed in a decentralized manner. The objective is to minimize the overall cost, which comprises the average cost of maintaining the…

Optimization and Control · Mathematics 2023-06-06 Daan Rutten , Martin Zubeldia , Debankur Mukherjee

We consider large-scale service systems with multiple customer classes and multiple server pools; interarrival and service times are exponentially distributed, and mean service times depend both on the customer class and server pool. It is…

Probability · Mathematics 2014-08-05 Alexander Stolyar , Elena Yudovina

In data-intensive applications data transfer is a primary cause of job execution delay. Data access time depends on bandwidth. The major bottleneck to supporting fast data access in Grids is the high latencies of Wide Area Networks and…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-10-05 Somayeh Abdi , Hossein Pedram , Somayeh Mohamadi

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

Resiliency plays a critical role in designing future communication networks. How to make edge computing systems resilient against unpredictable failures and fluctuating demand is an important and challenging problem. To this end, this paper…

Optimization and Control · Mathematics 2023-06-28 Jiaming Cheng , Duong Tung Nguyen , Vijay K. Bhargava

In P2P systems, large volumes of data are declustered naturally across a large number of peers. But it is very difficult to control the initial data distribution because every user has the freedom to share any data with other users. The…

Networking and Internet Architecture · Computer Science 2010-09-24 S. Ayyasamy , S. N. Sivanandam

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

Allocating resources to distributed machine learning jobs in multi-tenant torus-topology clusters must meet each job's specific placement and communication requirements, which are typically described using shapes. There is an inherent…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-07 Shawn Shuoshuo Chen , Daiyaan Arfeen , Minlan Yu , Peter Steenkiste , Srinivasan Seshan

Retransmissions represent a primary failure recovery mechanism on all layers of communication network architecture. Similarly, fair sharing, e.g. processor sharing (PS), is a widely accepted approach to resource allocation among multiple…

Performance · Computer Science 2014-09-22 Predrag R. Jelenković , Evangelia D. Skiani