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Pre-departure flight plan scheduling for Urban Air Mobility (UAM) and cargo delivery drones will require on-demand scheduling of large numbers of aircraft. We examine the scalability of an algorithm known as FastMDP which was shown to…

Artificial Intelligence · Computer Science 2020-08-11 Joshua R Bertram , Peng Wei , Joseph Zambreno

A common issue for companies is that the volume of product orders may at times exceed the production capacity. We formally introduce two novel problems dealing with the question which orders to discard or postpone in order to meet certain…

Artificial Intelligence · Computer Science 2022-08-05 Patrick Rodler , Erich Teppan

Highly populated cities face several challenges, one of them being the intense traffic congestion. In recent years, the concept of Urban Air Mobility has been put forward by large companies and organizations as a way to address this…

Artificial Intelligence · Computer Science 2025-02-13 Emmanouil S. Rigas , Panayiotis Kolios , Georgios Ellinas

The aircraft routing problem is one of the most studied problems of operations research applied to aircraft management. It involves assigning flights to aircraft while ensuring regular visits to maintenance bases. This paper examines two…

Discrete Mathematics · Computer Science 2025-11-11 Frédéric Meunier , Axel Parmentier , Nour ElHouda Tellache

To guarantee the safety of flight operations, decision-support systems for air traffic control must be able to improve the usage of airspace capacity and handle increasing demand. In this study, we address the aircraft conflict avoidance…

Optimization and Control · Mathematics 2022-03-24 Fernando H. C. Dias , David Rey

Limiting flight delays during operations has become a critical research topic in recent years due to their prohibitive impact on airlines, airports, and passengers. A popular strategy for addressing this problem considers the uncertainty of…

Optimization and Control · Mathematics 2021-09-01 Sujeevraja Sanjeevi , Saravanan Venkatachalam

The NP-hard scheduling problem P||C_max encompasses a set of tasks with known execution time which must be mapped to a set of identical machines such that the overall completion time is minimized. In this work, we improve existing…

Data Structures and Algorithms · Computer Science 2024-10-22 Matthew Akram , Nikolai Maas , Peter Sanders , Dominik Schreiber

In connection with the needs of solving optimization problems, the development of conditional minimization methods with convenient numerical implementation continues to attract the attention of mathematicians. In this monograph we propose…

Optimization and Control · Mathematics 2023-11-22 Igor Zabotin , Rashid Yarullin

We consider a capacitated job shop problem with order acceptance. This research is motivated by the management of a research and development project pipeline for a company in the agricultural industry whose success depends on regularly…

Optimization and Control · Mathematics 2024-12-02 Florian Linß , Mike Hewitt , Janis S. Neufeld , Udo Buscher

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

A mathematical programming model for a class of single machine family scheduling problem is described in this technical report, with the aim of comparing the performance in solving the scheduling problem by means of mathematical programming…

Optimization and Control · Mathematics 2015-03-03 Davide Giglio

Rescheduling problems arise in a variety of situations where a previously planned schedule needs to be adjusted to deal with unforeseen events. A common problem is the arrival of new orders, i.e. jobs, which have to be integrated into the…

Discrete Mathematics · Computer Science 2025-07-10 Elena Rener , Fabio Salassa , Vincent T'kindt

The task of finding efficient production schedules for parallel machines is a challenge that arises in most industrial manufacturing domains. There is a large potential to minimize production costs through automated scheduling techniques,…

Artificial Intelligence · Computer Science 2025-12-16 Christoph Einspieler , Matthias Horn , Marie-Louise Lackner , Patrick Malik , Nysret Musliu , Felix Winter

We consider the class of single machine scheduling problems with the objective to minimize the weighted number of late jobs, under the assumption that completion due-dates are not known precisely at the time when decision-maker must provide…

Data Structures and Algorithms · Computer Science 2017-08-11 Maciej Drwal

Motivated by modern parallel computing applications, we consider the problem of scheduling parallel-task jobs with heterogeneous resource requirements in a cluster of machines. Each job consists of a set of tasks that can be processed in…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-04-03 Mehrnoosh Shafiee , Javad Ghaderi

Given a system model where machines have distinct speeds and power ratings but are otherwise compatible, we consider various problems of scheduling under resource constraints on the system which place the restriction that not all machines…

Data Structures and Algorithms · Computer Science 2019-02-08 Mohammed Haroon Dupty , Pragati Agrawal , Shrisha Rao

This paper studies the problem of scheduling urban air mobility trips when travel times are uncertain and capacity at destinations is limited. Urban air mobility, in which air transportation is used for relatively short trips within a city…

Optimization and Control · Mathematics 2021-07-08 Qinshuang Wei , Gustav Nilsson , Samuel Coogan

In this work we propose a decomposition approach to solve the quay crane scheduling problem. This is an important maritime transportation problem faced in container terminals where quay cranes are used to handle cargo. The objective is to…

Optimization and Control · Mathematics 2016-04-05 Afonso Sampaio , Sebastián Urrutia , Johan Oppen

This paper addresses the problem of planning successive Space Debris Collecting missions so that they can be achieved at minimal cost by a generic vehicle. The problem mixes combinatorial optimization to select and order the debris among a…

Optimization and Control · Mathematics 2014-04-08 Max Cerf

Due to complex sets of interrelated activities in aircraft heavy maintenance (AHM), many airlines have to deal with substantial aircraft maintenance downtime. The scheduling problem in AHM is regarded as an NP-hard problem. Using exact…

Neural and Evolutionary Computing · Computer Science 2022-08-16 Kusol Pimapunsri , Darawan Weeranant , Andreas Riel