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We consider the problem of online job scheduling on a single machine or multiple unrelated machines with general job/machine-dependent cost functions. In this model, each job $j$ has a processing requirement (length) $v_{ij}$ and arrives…

Systems and Control · Electrical Eng. & Systems 2024-09-23 S. Rasoul Etesami

We investigate a single machine rescheduling problem that arises from an unexpected machine unavailability, after the given set of jobs has already been scheduled to minimize the total weighted completion time. Such a disruption is…

Data Structures and Algorithms · Computer Science 2017-01-27 Wenchang Luo , Taibo Luo , Randy Goebel , Guohui Lin

This paper considers two important problems -- on the supply-side and demand-side respectively and studies both in a unified framework. On the supply side, we study the problem of energy sharing among microgrids with the goal of maximizing…

Systems and Control · Electrical Eng. & Systems 2019-07-09 Diddigi Raghuram Bharadwaj , Sai Koti Reddy Danda , Krishnasuri Narayanam , Shalabh Bhatnagar

Imprecise computations provide an avenue for scheduling algorithms developed for energy-constrained computing devices by trading off output quality with the utilization of system resources. This work proposes a method for scheduling task…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-14 Amirhossein Esmaili , Mahdi Nazemi , Massoud Pedram

We consider an increasingly popular demand-response scenario where a user schedules the flexible electric vehicle (EV) charging load in response to real-time electricity prices. The objective is to minimize the total charging cost with user…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Hanling Yi , Qiulin Lin , Minghua Chen

We consider the problem of scheduling a set of $n$ tasks on $m$ processors under precedence, communication, and global system energy constraints to minimize makespan. We extend existing scheduling models to account for energy usage and give…

Data Structures and Algorithms · Computer Science 2011-05-27 David Felber , Adam Meyerson

Given n jobs with release dates, deadlines and processing times we consider the problem of scheduling them on m parallel machines so as to minimize the total energy consumed. Machines can enter a sleep state and they consume no energy in…

Data Structures and Algorithms · Computer Science 2019-10-01 Antonios Antoniadis , Naveen Garg , Gunjan Kumar , Nikhil Kumar

We consider a natural generalization of classical scheduling problems in which using a time unit for processing a job causes some time-dependent cost which must be paid in addition to the standard scheduling cost. We study the scheduling…

Data Structures and Algorithms · Computer Science 2018-12-03 Lin Chen , Nicole Megow , Roman Rischke , Leen Stougie , José Verschae

In this work we study the problem of scheduling tasks with dependencies in multiprocessor architectures where processors have different speeds. We present the preemptive algorithm "Save-Energy" that given a schedule of tasks it post…

Distributed, Parallel, and Cluster Computing · Computer Science 2008-06-09 Ioannis Chatzigiannakis , Georgios Giannoulis , Paul G. Spirakis

Many modern schedulers can dynamically adjust their service capacity to match the incoming workload. At the same time, however, unpredictability and instability in service capacity often incur operational and infrastructure costs. In this…

Optimization and Control · Mathematics 2020-05-12 Yorie Nakahira , Andres Ferragut , Adam Wierman

We present a unified analytical framework within which power control, rate allocation, routing, and congestion control for wireless networks can be optimized in a coherent and integrated manner. We consider a multi-commodity flow model with…

Networking and Internet Architecture · Computer Science 2007-09-18 Yufang Xi , Edmund M. Yeh

In non-clairvoyant scheduling, the goal is to minimize the total job completion time without prior knowledge of individual job processing times. This classical online optimization problem has recently gained attention through the framework…

Data Structures and Algorithms · Computer Science 2025-09-25 Ziyad Benomar , Romain Cosson , Alexander Lindermayr , Jens Schlöter

The cost of the power distribution infrastructures is driven by the peak power encountered in the system. Therefore, the distribution network operators consider billing consumers behind a common transformer in the function of their peak…

Systems and Control · Electrical Eng. & Systems 2022-04-01 Wenqi Cai , Hossein N. Esfahani , Arash B. Kordabad , Sébastien Gros

Large-scale controlled evacuations require emergency services to select evacuation routes, decide departure times, and mobilize resources to issue orders, all under strict time constraints. Existing algorithms almost always allow for…

Artificial Intelligence · Computer Science 2015-05-12 Caroline Even , Andreas Schutt , Pascal Van Hentenryck

While previous work on energy-efficient algorithms focused on assumption that tasks can be assigned to any processor, we initially study the problem of task scheduling on restricted parallel processors. The objective is to minimize the…

Data Structures and Algorithms · Computer Science 2013-09-17 Xibo Jin , Fa Zhang , Ying Song , Liya Fan , Zhiyong Liu

We consider the problem of efficiently scheduling the production of goods for a model steel manufacturing company. We propose a new approach for solving this classic problem, using techniques from the statistical physics of complex networks…

Physics and Society · Physics 2012-06-14 Osamu Yamaguchi , Soumen Roy , Raissa M. D'Souza

In this paper, the optimal operation of a microgrid is investigated when the network is connected at a 24-hour interval for a specific day. For the optimal operation, some criteria, such as the simultaneous reduction in operation costs,…

Systems and Control · Electrical Eng. & Systems 2019-11-12 Ali Montazeri , Alireza Sedighi Anaraki , Shahab Aref

The NP-hard MATERIAL CONSUMPTION SCHEDULING Problem and closely related problems have been thoroughly studied since the 1980's. Roughly speaking, the problem deals with minimizing the makespan when scheduling jobs that consume non-renewable…

Computer Science and Game Theory · Computer Science 2021-03-15 Matthias Bentert , Robert Bredereck , Péter Györgyi , Andrzej Kaczmarczyk , Rolf Niedermeier

The active-time scheduling problem considers the problem of scheduling preemptible jobs with windows (release times and deadlines) on a parallel machine that can schedule up to $g$ jobs during each timestep. The goal in the active-time…

Data Structures and Algorithms · Computer Science 2022-07-27 Nairen Cao , Jeremy T. Fineman , Shi Li , Julián Mestre , Katina Russell , Seeun William Umboh

A multiclass queueing system is considered, with heterogeneous service stations, each consisting of many servers with identical capabilities. An optimal control problem is formulated, where the control corresponds to scheduling and routing,…

Probability · Mathematics 2007-05-23 Rami Atar