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We present a unified framework for minimizing average completion time for many seemingly disparate online scheduling problems, such as the traveling repairperson problems (TRP), dial-a-ride problems (DARP), and scheduling on unrelated…

数据结构与算法 · 计算机科学 2021-05-18 Marcin Bienkowski , Artur Kraska , Hsiang-Hsuan Liu

Parallel machine scheduling has been extensively studied in the past decades, with applications ranging from production planning to job processing in large computing clusters. In this work we study some of these fundamental optimization…

数据结构与算法 · 计算机科学 2015-09-08 Yael Mordechai

Combinatorial optimization problems, such as scheduling and route planning, are crucial in various industries but are computationally intractable due to their NP-hard nature. Neural Combinatorial Optimization methods leverage machine…

机器学习 · 计算机科学 2025-02-14 Imanol Echeverria , Maialen Murua , Roberto Santana

In this paper, we are interested in parallel identical machine scheduling problems with preemption and release dates in case of a regular criterion to be minimized. We show that solutions having a permutation flow shop structure are…

离散数学 · 计算机科学 2013-09-19 D. Prot , O. Bellenguez-Morineau , C. Lahlou

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…

分布式、并行与集群计算 · 计算机科学 2021-03-10 Pragati Agrawal , Shrisha Rao

Regenerating braking energy is one major pathway to make rail traffic energy-efficient. It is therefore desirable to design timetables that exploit this feature. However, timetables that allow to regenerate energy are often bad for the…

最优化与控制 · 数学 2026-05-05 Sarah Roth , Sven Jäger , Niels Lindner , Anita Schöbel

Time-dependent (or temporal) properties may arise in many network-based planning problems, particularly in the routing and scheduling of railway track inspection problems. The availability of tracks depends on the train schedules,…

最优化与控制 · 数学 2024-11-06 Somnath Buriuly , Leena Vachhani , Arpita Sinha , Sivapragasam Ravitharan , Sunita Chauhan

This paper addresses the scheduling problem on two identical parallel machines with a single server in charge of loading and unloading operations of jobs. Each job has to be loaded by the server before being processed on one of the two…

最优化与控制 · 数学 2023-06-30 Abdelhak Elidrissi , Rachid Banmansour , Keramat Hasani , Frank Werner

We study the Parallel Task Scheduling problem $Pm|size_j|C_{\max}$ with a constant number of machines. This problem is known to be strongly NP-complete for each $m \geq 5$, while it is solvable in pseudo-polynomial time for each $m \leq 3$.…

计算复杂性 · 计算机科学 2017-05-15 Sören Henning , Klaus Jansen , Malin Rau , Lars Schmarje

A moldable job is a job that can be executed on an arbitrary number of processors, and whose processing time depends on the number of processors allotted to it. A moldable job is monotone if its work doesn't decrease for an increasing…

数据结构与算法 · 计算机科学 2018-01-09 Klaus Jansen , Felix Land

For a given set of intervals on the real line, we consider the problem of ordering the intervals with the goal of minimizing an objective function that depends on the exposed interval pieces (that is, the pieces that are not covered by…

数据结构与算法 · 计算机科学 2011-12-05 Christoph Dürr , Maurice Queyranne , Frits C. R. Spieksma , Fabrice Talla Nobibon , Gerhard J. Woeginger

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…

数据结构与算法 · 计算机科学 2022-07-27 Nairen Cao , Jeremy T. Fineman , Shi Li , Julián Mestre , Katina Russell , Seeun William Umboh

Periodic timetables are widely adopted in passenger railway operations due to their regular service patterns and well-coordinated train connections. However, fluctuations in passenger demand require varying train services across different…

最优化与控制 · 数学 2025-11-14 Zhiyuan Yao , Anita Schöbel , Lei Nie , Sven Jäger

In this paper we present an algorithmic framework for solving a class of combinatorial optimization problems on graphs with bounded pathwidth. The problems are NP-hard in general, but solvable in linear time on this type of graphs. The…

数据结构与算法 · 计算机科学 2012-12-18 Mugurel Ionut Andreica

Interval scheduling is a basic problem in the theory of algorithms and a classical task in combinatorial optimization. We develop a set of techniques for partitioning and grouping jobs based on their starting and ending times, that enable…

数据结构与算法 · 计算机科学 2023-02-27 Spencer Compton , Slobodan Mitrović , Ronitt Rubinfeld

Disruptions in the operational flow of rail traffic can lead to conflicts between train movements, such that a scheduled timetable can no longer be realised. This is where dispatching is applied, existing conflicts are resolved and a…

最优化与控制 · 数学 2025-02-26 Maik Schälicke , Karl Nachtigall

Generalizing many well-known and natural scheduling problems, scheduling with job-specific cost functions has gained a lot of attention recently. In this setting, each job incurs a cost depending on its completion time, given by a private…

数据结构与算法 · 计算机科学 2014-03-07 Wiebke Höhn , Julián Mestre , Andreas Wiese

This paper presents different methods for solving parallel machine scheduling problems with precedence constraints and setup times between the jobs. Limited discrepancy search methods mixed with local search principles, dominance conditions…

数据结构与算法 · 计算机科学 2009-02-19 Bernat Gacias , Christian Artigues , Pierre Lopez

We consider the problem of scheduling on a single processor a given set of n jobs. Each job j has a workload w_j and a release time r_j. The processor can vary its speed and hibernate to reduce energy consumption. In a schedule minimizing…

数据结构与算法 · 计算机科学 2012-10-23 Evripidis Bampis , Christoph Dürr , Fadi Kacem , Ioannis Milis

In the classical problem of scheduling on unrelated parallel machines, a set of jobs has to be assigned to a set of machines. The jobs have a processing time depending on the machine and the goal is to minimize the makespan, that is the…

数据结构与算法 · 计算机科学 2017-12-07 Klaus Jansen , Marten Maack