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Organizations around the world schedule jobs (programs) regularly to perform various tasks dictated by their end users. With the major movement towards using a cloud computing infrastructure, our organization follows a hybrid approach with…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-23 Sunandita Patra , Mehtab Pathan , Mahmoud Mahfouz , Parisa Zehtabi , Wided Ouaja , Daniele Magazzeni , Manuela Veloso

Robust optimization is a framework for modeling optimization problems involving data uncertainty and during the last decades has been an area of active research. If we focus on linear programming (LP) problems with i) uncertain data, ii)…

Numerical Analysis · Computer Science 2017-02-15 Roberto Mínguez , Víctor Casero-Alonso

In this paper a class of single machine scheduling problems is considered. It is assumed that job processing times and due dates can be uncertain and they are specified in the form of discrete scenario set. A probability distribution in the…

Data Structures and Algorithms · Computer Science 2017-12-12 Adam Kasperski , Pawel Zielinski

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

Deep learning has been effectively applied to many discrete optimization problems. However, learning-based scheduling on unrelated parallel machines remains particularly difficult to design. Not only do the numbers of jobs and machines…

Machine Learning · Computer Science 2025-12-23 Diego Hitzges , Guillaume Sagnol

We study a scheduling problem in which jobs may be split into parts, where the parts of a split job may be processed simultaneously on more than one machine. Each part of a job requires a setup time, however, on the machine where the job…

Data Structures and Algorithms · Computer Science 2012-12-11 Frans Schalekamp , Rene Sitters , Suzanne van der Ster , Leen Stougie , Victor Verdugo , Anke van Zuylen

Decision making needs to take an uncertain environment into account. Over the last decades, robust optimization has emerged as a preeminent method to produce solutions that are immunized against uncertainty. The main focus in robust…

Optimization and Control · Mathematics 2021-02-11 Marc Goerigk , Michael Hartisch

The problem of scheduling with testing in the framework of explorable uncertainty models environments where some preliminary action can influence the duration of a task. In the model, each job has an unknown processing time that can be…

Data Structures and Algorithms · Computer Science 2021-08-20 Susanne Albers , Alexander Eckl

Scheduling with testing is a recent online problem within the framework of explorable uncertainty motivated by environments where some preliminary action can influence the duration of a task. Jobs have an unknown processing time that can be…

Data Structures and Algorithms · Computer Science 2021-08-20 Susanne Albers , Alexander Eckl

We present a method for determining optimal modes of operation for autonomously oscillating systems with uncertain parameters. In a typical application of the method, a nonlinear dynamical system is optimized with respect to an economic…

Dynamical Systems · Mathematics 2013-08-20 Darya Kastsian , Martin Mönnigmann

This paper considers the scheduling of stochastic jobs on parallel identical machines to minimize the expected total weighted completion time. While this is a classical problem with a significant body of research on approximation algorithms…

Data Structures and Algorithms · Computer Science 2026-01-27 Benjamin Moseley , Kirk Pruhs , Marc Uetz , Rudy Zhou

This paper resolves a long-standing open question in bicriteria scheduling regarding the complexity of a single machine scheduling problem which combines the number of tardy jobs and the maximal tardiness criteria. We use the lexicographic…

Data Structures and Algorithms · Computer Science 2025-02-17 Klaus Heeger , Danny Hermelin , Michael L. Pinedo , Dvir Shabtay

This paper addresses the robust single machine makespan scheduling with uncertain release dates of the jobs. The release dates take values within know intervals. We use the concept of gamma-robustness in two different settings and address…

Optimization and Control · Mathematics 2020-10-21 Oliver Bachtler , Sven O. Krumke , Huy Minh Le

Existing research on single-machine scheduling is largely focused on exact algorithms, which perform well on typical instances but can significantly deteriorate on certain regions of the problem space. In contrast, data-driven approaches…

Machine Learning · Computer Science 2025-10-08 Nikolai Antonov , Prěmysl Šůcha , Mikoláš Janota , Jan Hůla

We investigate the probabilistic feasibility of randomized solutions to two distinct classes of uncertain multi-agent optimization programs. We first assume that only the constraints of the program are affected by uncertainty, while the…

Optimization and Control · Mathematics 2020-09-29 George Pantazis , Filiberto Fele , Kostas Margellos

Solution robustness focuses on structural similarities between the nominal solution and the scenario solutions. Most other robust optimization approaches focus on the quality robustness and only evaluate the relevance of their solutions…

Optimization and Control · Mathematics 2021-10-25 Zacharie Ales , Sourour Elloumi

Budgeted uncertainty sets have been established as a major influence on uncertainty modeling for robust optimization problems. A drawback of such sets is that the budget constraint only restricts the global amount of cost increase that can…

Optimization and Control · Mathematics 2020-08-28 Marc Goerigk , Stefan Lendl

In many real world scheduling problems, the processing times of tasks are subject to uncertainty. This makes it essential to design schedules that are robust and able to handle potential disruptions. Therefore, we investigate measures that…

Optimization and Control · Mathematics 2025-12-18 Casper Loman , Loriana Pascual , Marjan van den Akker , Roel van den Broek , Han Hoogeveen

We consider robust combinatorial optimization problems with cost uncertainty where the decision maker can prepare K solutions beforehand and chooses the best of them once the true cost is revealed. Also known as min-max-min robustness (a…

Optimization and Control · Mathematics 2019-10-29 Marc Goerigk , Jannis Kurtz , Michael Poss

Autonomous microgrid planning is a Mixed-Integer Non Convex decision problem that requires to consider investments in both distribution and generation capacity and represents significant computation challenges. We proposed in a previous…

Optimization and Control · Mathematics 2017-03-21 Benoît Martin , François Glineur , Emmanuel De Jaeger
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