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We investigate the recoverable robust single machine scheduling problem under interval uncertainty. In this setting, jobs have first-stage processing times p and second-stage processing times q and we aim to find a first-stage and…

Data Structures and Algorithms · Computer Science 2022-03-08 Matthew Bold , Marc Goerigk

This paper deals with a robust recoverable approach to 0-1 programming problems. It is assumed that a solution constructed in the first stage can be modified to some extent in the second stage. This modification consists in choosing a…

Data Structures and Algorithms · Computer Science 2018-11-19 Mmikita Hradovich , Adam Kasperski , Pawel Zielinski

Recoverable robust optimization is a multi-stage approach, where it is possible to adjust a first-stage solution after the uncertain cost scenario is revealed. We analyze this approach for a class of selection problems. The aim is to choose…

Optimization and Control · Mathematics 2021-02-22 Marc Goerigk , Stefan Lendl , Lasse Wulf

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

In this work, we study a single-machine scheduling problem that aims at minimizing the total cost of a schedule subject to start-time dependent costs. This framework naturally captures scenarios where costs fluctuate throughout the day,…

Optimization and Control · Mathematics 2026-04-17 Sofía Rodríguez-Ballesteros , Javier Alcaraz , Laura Anton-Sanchez , Marc Goerigk , Dorothee Henke

In this paper, we consider an adaptive approach to address optimization problems with uncertain cost parameters. Here, the decision maker selects an initial decision, observes the realization of the uncertain cost parameters, and then is…

Computational Complexity · Computer Science 2013-12-17 Ebrahim Nasrabadi , James B. Orlin

In this paper the problem of selecting $p$ out of $n$ available items is discussed, such that their total cost is minimized. We assume that costs are not known exactly, but stem from a set of possible outcomes. Robust recoverable and…

Optimization and Control · Mathematics 2017-02-17 André Chassein , Marc Goerigk , Adam Kasperski , Paweł Zieliński

We propose a model for recoverable robust optimization with commitment. Given a combinatorial optimization problem and uncertainty about elements that may fail, we ask for a robust solution that, after the failing elements are revealed, can…

Data Structures and Algorithms · Computer Science 2023-06-16 Felix Hommelsheim , Nicole Megow , Komal Muluk , Britta Peis

In this work, we study the single machine scheduling problem with uncertain release times and processing times of jobs. We adopt a robust scheduling approach, in which the measure of robustness to be minimized for a given sequence of jobs…

Optimization and Control · Mathematics 2014-11-27 Nitish Umang , Alan L. Erera , Michel Bierlaire

Recoverable robust optimization is a popular multi-stage approach, in which it is possible to adjust a first-stage solution after the uncertain cost scenario is revealed. We consider recoverable robust optimization in combination with…

Computational Complexity · Computer Science 2024-11-28 Christoph Grüne , Lasse Wulf

The parallel machine scheduling problem has been a popular topic for many years due to its theoretical and practical importance. This paper addresses the robust makespan optimization problem on unrelated parallel machine scheduling with…

Optimization and Control · Mathematics 2020-10-23 Chutong Gao , Weihao Wang , Leyuan Shi

This paper considers the resource-constrained project scheduling problem with uncertain activity durations. We assume that activity durations lie in a budgeted uncertainty set, and follow a robust two-stage approach, where a decision maker…

Optimization and Control · Mathematics 2020-04-15 Matthew Bold , Marc Goerigk

The problem of scheduling conflicting jobs on parallel machines consists in assigning a set of jobs to a set of machines so that no two conflicting jobs are allocated to the same machine, and the maximum processing time among all machines…

Discrete Mathematics · Computer Science 2025-04-04 Phablo F. S. Moura , Roel Leus , Hande Yaman

In this study, we investigate a robust single-machine scheduling problem under processing time uncertainty. The uncertainty is modeled using the budgeted approach, where each job has a nominal and deviation processing time, and the number…

Discrete Mathematics · Computer Science 2026-02-04 Noam Goldberg , Dvir Shabtay

This paper presents a profound analysis of the robust job scheduling problem with uncertain release dates on unrelated machines. Our model involves minimizing the worst-case makespan and interval uncertainty where each release date belongs…

Optimization and Control · Mathematics 2021-07-22 Mirosław Ławrynowicz , Jerzy Józefczyk

We consider a combined problem of teaming and scheduling of multi-skilled employees that have to perform jobs with uncertain qualification requirements. We propose two modeling approaches that generate solutions that are robust to possible…

Optimization and Control · Mathematics 2020-11-03 Yulia Anoshkina , Marc Goerigk , Frank Meisel

We study the single machine scheduling problem with the objective to minimize the total weight of late jobs. It is assumed that the processing times of jobs are not exactly known at the time when a complete schedule must be dispatched.…

Discrete Mathematics · Computer Science 2017-06-13 Maciej Drwal

Real-life parallel machine scheduling problems can be characterized by: (i) limited information about the exact task duration at scheduling time, and (ii) an opportunity to reschedule the remaining tasks each time a task processing is…

Optimization and Control · Mathematics 2023-11-22 Izack Cohen , Krzysztof Postek , Shimrit Shtern

We explore a multiple-stage variant of the min-max robust selection problem with budgeted uncertainty that includes queries. First, one queries a subset of items and gets the exact values of their uncertain parameters. Given this…

Optimization and Control · Mathematics 2025-01-07 Xiaoyu Chen , Marc Goerigk , Michael Poss

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
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