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When parallelizing a set of jobs across many servers, one must balance a trade-off between granting priority to short jobs and maintaining the overall efficiency of the system. When the goal is to minimize the mean flow time of a set of…

Performance · Computer Science 2020-11-24 Benjamin Berg , Rein Vesilo , Mor Harchol-Balter

The state of the art for model predictive control (MPC)-based distributed Q-learning is limited to first-order gradient updates of the MPC parameterization. In general, using secondorder information can significantly improve the speed of…

Systems and Control · Electrical Eng. & Systems 2026-05-07 Samuel Mallick , Filippo Airaldi , Azita Dabiri , Bart De Schutter

Consider the problem of a multiple access channel in a time dependent environment with a large number of users. In such a system, mostly due to practical constraints (e.g., decoding complexity), not all users can be scheduled together, and…

Information Theory · Computer Science 2018-11-07 Ori Shmuel , Asaf Cohen , Omer Gurewitz

Performance analysis of queueing networks is one of the most challenging areas of queueing theory. Barring very specialized models such as product-form type queueing networks, there exist very few results which provide provable…

Optimization and Control · Mathematics 2010-09-22 Dimitris Bertsimas , David Gamarnik , Alexander Rikun

We study the problem of scheduling periodic real-time tasks so as to meet their individual minimum reward requirements. A task generates jobs that can be given arbitrary service times before their deadlines. A task then obtains rewards…

Other Computer Science · Computer Science 2010-07-06 I-Hong Hou , P. R. Kumar

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

We develop a general approach for designing scheduling policies for real-time traffic over wireless channels. We extend prior work, which characterizes a real-time flow by its traffic pattern, delay bound, timely-throughput requirement, and…

Networking and Internet Architecture · Computer Science 2009-08-06 I-Hong Hou , P. R. Kumar

This paper presents a heavy-traffic analysis of the behavior of a single-server queue under an Earliest-Deadline-First (EDF) scheduling policy in which customers have deadlines and are served only until their deadlines elapse. The…

Probability · Mathematics 2011-04-07 Łukasz Kruk , John Lehoczky , Kavita Ramanan , Steven Shreve

Information-theoretic arguments focus on modeling the reliability of information transmission, assuming availability of infinite data at sources, thus ignoring randomness in message generation times at the respective sources. However, in…

Networking and Internet Architecture · Computer Science 2009-09-29 K. C. V. Kalyanarama Sesha Sayee

We analyze an M/M/1 queue with a service discipline in which customers, upon arriving when the server is busy, search a sequence of stations for a vacant station at which to wait, and in which the server, upon becoming free when one or more…

Probability · Mathematics 2011-08-29 Patrick Eschenfeldt , Ben Gross , Nicholas Pippenger

Realizing an optimal task scheduling by taking into account the business importance of jobs has become a matter of interest in pay and use model of Cloud computing. Introduction of an appropriate model for an efficient task scheduling…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-07-22 Vivek Sharma , T. R. Gopalakrishnan Nair

This study considers a model where schools may have multiple priority orders on students, which may be inconsistent with each other. For example, in school choice systems, since the sibling priority and the walk zone priority coexist, the…

Theoretical Economics · Economics 2024-10-18 Minoru Kitahara , Yasunori Okumura

We study a multiclass M/M/1 queueing control problem with finite buffers under heavy-traffic where the decision maker is uncertain about the rates of arrivals and service of the system and by scheduling and admission/rejection decisions…

Probability · Mathematics 2019-03-19 Asaf Cohen

We study web and mobile applications that are used to schedule advance service, from medical appointments to restaurant reservations. We model them as online weighted bipartite matching problems with non-stationary arrivals. We propose new…

Optimization and Control · Mathematics 2018-05-29 Xinshang Wang , Van-Anh Truong , David Bank

Motivated by settings such as medical treatments or aircraft maintenance, we consider a scheduling problem with jobs that consist of two operations, a test and a processing part. The time required to execute the test is known in advance…

Data Structures and Algorithms · Computer Science 2024-06-25 Konstantinos Dogeas , Thomas Erlebach , Ya-Chun Liang

This paper studies a scheduling problem in a parallel machine setting, where each machine must adhere to a predetermined fixed order for processing the jobs. Given $n$ jobs, each with processing times and deadlines, we aim to minimize the…

Data Structures and Algorithms · Computer Science 2025-05-16 Andre Berger , Arman Rouhani , Marc Schröder

Most research on within-day dynamic traffic equilibrium with information provision implicitly considers travel time information, often assuming information to be perfect or imperfect based on travelers' perception error. However, lacking…

Systems and Control · Electrical Eng. & Systems 2025-07-15 Xiaoyu Ma , Xiaozheng He

In recent years, there is a growing research about queueing models with customers who choose their service durations. In general, the model assumptions in the existing literature imply that every customer knows his service demand when he…

Optimization and Control · Mathematics 2022-01-19 Royi Jacobovic

We consider online preemptive scheduling of jobs arriving one by one, to be assigned to two identical machines, with the goal of makespan minimization. We study the effect of selecting the best solution out of two independent solutions…

Data Structures and Algorithms · Computer Science 2022-10-12 Leah Epstein

Conventional wisdom for minimizing the average flow completion time (AFCT) in the datacenter network (DCN), where flow sizes are highly variable, would suggest scheduling every individual flow. However, we show that considering scheduling…

Networking and Internet Architecture · Computer Science 2020-01-24 Soheil Abbasloo , Yang Xu , H. Jonathan Chao