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An optimal solution to the problem of scheduling real-time tasks on a set of identical processors is derived. The described approach is based on solving an equivalent uniprocessor real-time scheduling problem. Although there are other…

Operating Systems · Computer Science 2011-04-19 Paul Regnier , George Lima , Ernesto Massa

Train marshalling is the process of reordering the railcars of a train in such a way that the railcars with the same destination appear consecutively in the final, reassembled train. The process takes place in the shunting yard by means of…

Data Structures and Algorithms · Computer Science 2020-08-10 Hossein Falsafain , Mohammad Tamannaei

The paper considers single-machine scheduling problems with a non-renewable resource. In this setting, we are given a set jobs, each of which is characterized by a processing time, a weight, and the job also has some resource requirement.…

Data Structures and Algorithms · Computer Science 2019-11-28 Kristóf Bérczi , Tamás Király , Simon Omlor

The aim of power management policies is to reduce the amount of energy consumed by computer systems while maintaining satisfactory level of performance. One common method for saving energy is to simply suspend the system during the idle…

Data Structures and Algorithms · Computer Science 2010-09-06 Philippe Baptiste , Marek Chrobak , Christoph Durr

We are given a set of $n$ jobs and a single processor that can vary its speed dynamically. Each job $J_j$ is characterized by its processing requirement (work) $p_j$, its release date $r_j$ and its deadline $d_j$. We are also given a budget…

Data Structures and Algorithms · Computer Science 2013-09-09 Eric Angel , Evripidis Bampis , Vincent Chau

We study the problem of scheduling jobs on fault-prone machines communicating via a shared channel, also known as multiple-access channel. We have $n$ arbitrary length jobs to be scheduled on $m$ identical machines, $f$ of which are prone…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-26 Marek Klonowski , Dariusz R. Kowalski , Jarosław Mirek , Prudence W. H. Wong

Scheduling problems are fundamental in combinatorial optimization. Much work has been done on approximation algorithms for NP-hard cases, but relatively little is known about exact solutions when some part of the input is a fixed parameter.…

Data Structures and Algorithms · Computer Science 2018-01-09 Dušan Knop , Martin Koutecký

We show that finding minimally intersecting $n$ paths from $s$ to $t$ in a directed graph or $n$ perfect matchings in a bipartite graph can be done in polynomial time. This holds more generally for unimodular set systems.

Optimization and Control · Mathematics 2015-10-05 Volker Kaibel , Shmuel Onn , Pauline Sarrabezolles

In this paper, we model an operational planning and scheduling problem under multiple job deadlines in a time-weighted automaton framework. We first present a method to determine whether all given job specifications and deadlines can be met…

Systems and Control · Computer Science 2016-07-15 Ahmad Reza Shehabinia , Liyong Lin , Rong Su

In this paper the problem of scheduling of jobs on parallel machines under incompatibility relation is considered. In this model a binary relation between jobs is given and no two jobs that are in the relation can be scheduled on the same…

Data Structures and Algorithms · Computer Science 2021-06-29 Tytus Pikies , Hanna Furmańczyk

We address a dynamic repair shop scheduling problem in the context of military aircraft fleet management where the goal is to maintain a full complement of aircraft over the long-term. A number of flights, each with a requirement for a…

Artificial Intelligence · Computer Science 2014-02-05 Maliheh Aramon Bajestani , J. Christopher Beck

In a recent paper, Braun, Chung and Graham [1] have addressed a single-processor scheduling problem with time restrictions. Given a fixed integer $B \geq 2$, there is a set of jobs to be processed by a single processor subject to the…

Data Structures and Algorithms · Computer Science 2017-03-03 An Zhang , Yong Chen , Lin Chen , Guangting Chen

This paper presents two real-world scheduling problems and their algorithmic solutions through polynomial-time reductions. First, we address the Hospital Patient-to-Bed Assignment problem, demonstrating its reduction to Maximum Bipartite…

Data Structures and Algorithms · Computer Science 2026-01-13 Anay Sinhal , Arpana Sinhal , Amit Sinhal , Amit Hirawat

We define a new problem called the Vehicle Scheduling Problem (VSP). The goal is to minimize an objective function, such as the number of tardy vehicles over a transportation network subject to maintaining safety distances, meeting hard…

Robotics · Computer Science 2020-01-28 Mirmojtaba Gharibi , Steven L. Waslander , Raouf Boutaba

Onsite Job Scheduling is a specialized variant of Vehicle Routing Problem (VRP) with multiple depots. The objective of this problem is to execute jobs requested by customers, belonging to different geographic locations by a limited number…

Optimization and Control · Mathematics 2023-06-06 Avijit Basak , Subhas Acharya

We introduce the following elementary scheduling problem. We are given a collection of n jobs, where each job has an integer length as well as a set Ti of time intervals in which it can be feasibly scheduled. Given a parameter B, the…

Data Structures and Algorithms · Computer Science 2012-08-02 Jessica Chang , Harold N. Gabow , Samir Khuller

The stable allocation problem is a many-to-many generalization of the well-known stable marriage problem, where we seek a bipartite assignment between, say, jobs (of varying sizes) and machines (of varying capacities) that is "stable" based…

Data Structures and Algorithms · Computer Science 2014-11-26 Ágnes Cseh , Brian C. Dean

We study the computational complexity of scheduling jobs on a single speed-scalable processor with the objective of capturing the trade-off between the (weighted) flow time and the energy consumption. This trade-off has been extensively…

Data Structures and Algorithms · Computer Science 2026-02-13 Antonios Antoniadis , Denise Graafsma , Ruben Hoeksma , Maria Vlasiou

The network-based study of financial systems has received considerable attention in recent years but has seldom explicitly incorporated the dynamic aspects of such systems. We consider this problem setting from the temporal point of view…

Discrete Mathematics · Computer Science 2024-12-11 Tom Friedetzky , David C. Kutner , George B. Mertzios , Iain A. Stewart , Amitabh Trehan

This paper explores fast, polynomial time heuristic approximate solutions to the NP-hard problem of scheduling jobs on N identical machines. The jobs are independent and are allowed to be stopped and restarted on another machine at a later…

Neural and Evolutionary Computing · Computer Science 2016-11-11 N. Fogarasi , K. Tornai , J. Levendovszky
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