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We consider a system with several job types and two parallel server pools. Within the pools the servers are homogeneous, but across pools possibly not in the sense that the service speed of a job may depend on its type as well as the server…

Performance · Computer Science 2020-05-28 Youri Raaijmakers , Sem Borst , Onno Boxma

In this paper we propose a highly accurate approximate performance analysis of a heterogeneous server system with a processor sharing service discipline and a general job-size distribution under a generalized join the shortest queue (GJSQ)…

Probability · Mathematics 2017-03-20 Jori Selen , Ivo J. B. F. Adan , Stella Kapodistria

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

This paper studies distributed resource allocation problem in multi-agent systems, where all the agents cooperatively minimize the sum of their cost functions with global resource constraints over stochastic communication networks. This…

Optimization and Control · Mathematics 2021-04-27 Tie Ding , Shanying Zhu , Cailian Chen , Xinping Guan

We consider a set-up in which there are multiple servers and multiple clients in a large distributed computing system. Clients request servers to process jobs. Servers can only process one job in unit time. There is no coordinating agent to…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-10-18 Anindya S. Chakrabarti , Diptesh Ghosh

We study the $k$-server problem with time-windows. In this problem, each request $i$ arrives at some point $v_i$ of an $n$-point metric space at time $b_i$ and comes with a deadline $e_i$. One of the $k$ servers must be moved to $v_i$ at…

Data Structures and Algorithms · Computer Science 2021-11-18 Anupam Gupta , Amit Kumar , Debmalya Panigrahi

In a call center, staffing decisions must be made before the call arrival rate is known with certainty. Then, once the arrival rate becomes known, the call center may be over-staffed, in which case staff are being paid to be idle, or…

Probability · Mathematics 2014-04-14 Yasar Levent Kocaga , Mor Armony , Amy R. Ward

The memory capacity in edge devices is often limited due to constraints on cost, size, and power. Consequently, memory competition leads to inevitable page swapping in memory-constrained mixed-criticality edge devices, causing slow storage…

Operating Systems · Computer Science 2025-11-26 Meng-Chia Lee , Wen Sheng Lim , Yuan-Hao Chang , Tei-Wei Kuo

Online algorithms are usually analyzed using the notion of competitive ratio which compares the solution obtained by the algorithm to that obtained by an online adversary for the worst possible input sequence. Often this measure turns out…

Data Structures and Algorithms · Computer Science 2014-10-08 Anamitra Roy Choudhury , Syamantak Das , Naveen Garg , Amit Kumar

Cloud computing today is dominated by multi-server jobs. These are jobs that request multiple servers simultaneously and hold onto all of these servers for the duration of the job. Multi-server jobs add a lot of complexity to the…

Performance · Computer Science 2021-02-05 Weina Wang , Qiaomin Xie , Mor Harchol-Balter

We present a new framework for designing nonpreemptive and job-size oblivious scheduling policies in the multiserver-job queueing model. The main requirement is to identify a static and balanced sub-partition of the server set and ensure…

Performance · Computer Science 2025-02-04 Jonatha Anselmi , Josu Doncel

We present an analysis of large-scale load balancing systems, where the processing time distribution of tasks depends on both the task and server types. Our study focuses on the asymptotic regime, where the number of servers and task types…

Probability · Mathematics 2023-06-19 Zhisheng Zhao , Debankur Mukherjee

The paper studies approximations and control of a processor sharing (PS) server where the service rate depends on the number of jobs occupying the server. The control of such a system is implemented by imposing a limit on the number of jobs…

Systems and Control · Computer Science 2014-09-02 Varun Gupta , Jiheng Zhang

Online models that allow recourse are highly effective in situations where classical models are too pessimistic. One such problem is the online machine covering problem on identical machines. In this setting, jobs arrive one by one and must…

Data Structures and Algorithms · Computer Science 2018-08-29 Waldo Gálvez , José A. Soto , José Verschae

We study distributed load balancing in bipartite queueing systems where frontends route jobs to heterogeneous backends with workload-dependent service rates. The system's connectivity -- governed by compatibility constraints such as data…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-25 Wenxin Zhang , Santiago R. Balseiro , Robert Kleinberg , Vahab Mirrokni , Balasubramanian Sivan , Bartek Wydrowski

We present and study a new model for energy-aware and profit-oriented scheduling on a single processor. The processor features dynamic speed scaling as well as suspension to a sleep mode. Jobs arrive over time, are preemptable, and have…

Data Structures and Algorithms · Computer Science 2012-09-14 Peter Kling , Andreas Cord-Landwehr , Frederik Mallmann-Trenn

We consider a load balancing system consisting of $n$ single-server queues working in parallel, with heterogeneous service rates. Jobs arrive to a central dispatcher, which has to dispatch them to one of the queues immediately upon arrival.…

Performance · Computer Science 2025-10-17 Yishun Luo , Martin Zubeldia

We consider a multi-robot setting, where we have a fleet of multi-capacity autonomous robots that must service spatially distributed pickup-and-delivery requests with fixed maximum wait times. Requests can be either scheduled ahead of time…

Robotics · Computer Science 2025-04-01 Daniel Garces , Stephanie Gil

We study scheduling control of parallel processing networks in which some resources need to simultaneously collaborate to perform some activities and some resources multitask. Resource collaboration and multitasking give rise to…

Optimization and Control · Mathematics 2020-12-29 Erhun Özkan

We first consider the static problem of allocating resources to ( i.e. , scheduling) multiple distributed application framework s, possibly with different priorities and server preferences , in a private cloud with heterogeneous servers.…

Performance · Computer Science 2019-01-01 George Kesidis , Yuquan Shan , Yujia Wang , Bhuvan Urgaonkar , Jalal Khamse-Ashari , Ioanns Lambadaris