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We introduce a parallel machine scheduling problem in which the processing times of jobs are not given in advance but are determined by a system of linear constraints. The objective is to minimize the makespan, i.e., the maximum job…

Data Structures and Algorithms · Computer Science 2015-10-30 Kameng Nip , Zhenbo Wang , Zizhuo Wang

We study scheduling problems on a machine with varying speed. Assuming a known speed function we ask for a cost-efficient scheduling solution. Our main result is a PTAS for minimizing the total weighted completion time in this setting. This…

Data Structures and Algorithms · Computer Science 2014-03-06 Nicole Megow , José Verschae

This paper studies a 2-class, 2-server parallel server system under the recently introduced extended heavy traffic condition, which states that the underlying 'static allocation' linear program (LP) is critical, but does not require that it…

Optimization and Control · Mathematics 2022-07-19 Rami Atar , Eyal Castiel , Marty Reiman

The notion of age of information (AoI) has become an important performance metric in network and control systems. Information freshness, represented by AoI, naturally arises in the context of caching. We address optimal scheduling of cache…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-04 Ghafour Ahani , Di Yuan

The joint design of control and communication scheduling in a Networked Control System (NCS) is known to be a hard problem. Several research works have successfully designed optimal sampling and/or control strategies under simplified…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Jaya Prakash Champati , Mohammad H. Mamduhi , Karl H. Johansson , James Gross

In this paper, we study joint queue-aware and channel-aware scheduling of arbitrarily bursty traffic over multi-state time-varying channels, where the bursty packet arrival in the network layer, the backlogged queue in the data link layer,…

Information Theory · Computer Science 2016-06-06 Meng Wang , Juan Liu , Wei Chen

Load balancing plays a critical role in efficiently dispatching jobs in parallel-server systems such as cloud networks and data centers. A fundamental challenge in the design of load balancing algorithms is to achieve an optimal trade-off…

Performance · Computer Science 2020-12-16 Mark van der Boor , Sem Borst , Johan van Leeuwaarden

The (Non-Preemptive) Throughput Maximization problem is a natural and fundamental scheduling problem. We are given $n$ jobs, where each job $j$ is characterized by a processing time and a time window, contained in a global interval $[0,T)$,…

Data Structures and Algorithms · Computer Science 2026-04-01 Alexander Armbruster , Fabrizio Grandoni , Antoine Tinguely , Andreas Wiese

The number of parameters in large-scale language models based on transformers is gradually increasing, and the scale of computing clusters is also growing. The technology of quickly mobilizing large amounts of computing resources for…

Artificial Intelligence · Computer Science 2025-01-03 Zongbiao Li , Xiezhao Li , Yinghao Cui , Yijun Chen , Zhixuan Gu , Yuxuan Liu , Wenbo Zhu , Fei Jia , Ke Liu , Qifeng Li , Junyao Zhan , Jiangtao Zhou , Chenxi Zhang , Qike Liu

The Practimum-Optimum (P-O) algorithm represents a paradigm shift in developing automatic optimization products for complex real-life business problems such as large-scale manufacturing scheduling. It leverages deep business domain…

Artificial Intelligence · Computer Science 2024-08-20 Moshe BenBassat

We study the problem of policy optimization (PO) with linear temporal logic (LTL) constraints. The language of LTL allows flexible description of tasks that may be unnatural to encode as a scalar cost function. We consider LTL-constrained…

Machine Learning · Computer Science 2022-10-21 Cameron Voloshin , Hoang M. Le , Swarat Chaudhuri , Yisong Yue

We propose a Boolean Linear Programming model for the preemptive single machine scheduling problem with equal processing times, arbitrary release dates and weights(priorities) minimizing the total weighted completion time. Almost always an…

Optimization and Control · Mathematics 2020-12-16 Artem Fomin , Boris Goldengorin

In parallel machine scheduling, we are given a set of jobs, together with a number of machines and our goal is to decide for each job, when and on which machine(s) it should be scheduled in order to minimize some objective function.…

Data Structures and Algorithms · Computer Science 2023-02-09 Klaus Jansen , Kai Kahler

Computing workflows in heterogeneous multiprocessor systems are frequently modeled as directed acyclic graphs of tasks and data blocks, which represent computational modules and their dependencies in the form of data produced by a task and…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-06-14 Junwen Ding , Liangcai Song , Siyuan Li , Chen Wu , Ronghua He , Zhouxing Su , Zhipeng Lü

In this work, we present a constant-round algorithm for the $2$-ruling set problem in the Congested Clique model. As a direct consequence, we obtain a constant round algorithm in the MPC model with linear space-per-machine and optimal total…

Data Structures and Algorithms · Computer Science 2023-10-11 Mélanie Cambus , Fabian Kuhn , Shreyas Pai , Jara Uitto

Stochastic programming can be applied to consider uncertainties in energy system optimization models for capacity expansion planning. However, these models become increasingly large and time-consuming to solve, even without considering…

Optimization and Control · Mathematics 2025-08-15 Shima Sasanpour , Manuel Wetzel , Karl-Kiên Cao , Hans Christian Gils , Andrés Ramos

The problem of attaining energy efficiency in distributed systems is of importance, but a general, non-domain-specific theory of energy-minimal scheduling is far from developed. In this paper, we classify the problems of energy-minimal…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-03-10 Pragati Agrawal , Shrisha Rao

Age-of-information (AoI) is a metric quantifying information freshness at the receiver. Since AoI combines packet generation frequency, packet loss, and delay into a single metric, it has received a lot of research attention as an interface…

Information Theory · Computer Science 2019-11-25 Onur Ayan , Mikhail Vilgelm , Wolfgang Kellerer

We study the early work scheduling problem on identical parallel machines in order to maximize the total early work, i.e., the parts of non-preemptive jobs executed before a common due date. By preprocessing and constructing an auxiliary…

Data Structures and Algorithms · Computer Science 2020-07-27 Weidong Li

Scheduling query execution plans is a particularly complex problem in shared-nothing parallel systems, where each site consists of a collection of local time-shared (e.g., CPU(s) or disk(s)) and space-shared (e.g., memory) resources and…

Databases · Computer Science 2014-04-01 Minos Garofalakis , Yannis Ioannidis
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