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Output-based controllers are known to be fragile with respect to model uncertainties. The standard $\mathcal{H}_{\infty}$-control theory provides a general approach to robust controller design based on the solution of the…

Optimization and Control · Mathematics 2022-04-22 Peter Benner , Jan Heiland , Steffen W. R. Werner

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

In this paper, the dynamics of heuristic algorithms for constructing small vertex covers (or independent sets) of finite-connectivity random graphs is analysed. In every algorithmic step, a vertex is chosen with respect to its vertex…

Statistical Mechanics · Physics 2015-06-24 Martin Weigt

In this paper, the recoverable robust shortest path problem under interval uncertainty representations is discussed. This problem is known to be strongly NP-hard and also hard to approximate in general digraphs. In this paper, the class of…

Data Structures and Algorithms · Computer Science 2024-07-16 Marcel Jackiewicz , Adam Kasperski , Pawel Zielinski

We propose a new algorithm for the solution of the robust multiple-load topology optimization problem. The algorithm can be applied to any type of problem, e.g., truss topology, variable thickness sheet or free material optimization. We…

Optimization and Control · Mathematics 2013-07-30 Michal Kocvara

We address the problem of scheduling jobs with non-identical sizes and distinct processing times on a single batch processing machine, aiming at minimizing the makespan. The extensive literature on this NP-hard problem mostly focuses on…

Optimization and Control · Mathematics 2021-06-03 Renan Spencer Trindade , Olinto C. B. de Araujo , Marcia Fampa

In this work we focus on efficient heuristics for solving a class of stochastic planning problems that arise in a variety of business, investment, and industrial applications. The problem is best described in terms of future buy and sell…

Artificial Intelligence · Computer Science 2013-01-14 Milos Hauskrecht , Eli Upfal

We consider the problem of optimally designing a body wireless sensor network, while taking into account the uncertainty of data generation of biosensors. Since the related min-max robustness Integer Linear Programming (ILP) problem can be…

Optimization and Control · Mathematics 2017-04-18 Fabio D'Andreagiovanni , Antonella Nardin , Enrico Natalizio

We study single commodity network flows with suitable robustness and efficiency specs. An original use of a maximum entropy problem for distributions on the paths of the graph turns this problem into a steering problem for Markov chains…

Mathematical Physics · Physics 2017-09-28 Yongxin Chen , Tryphon T. Georgiou , Michele Pavon , Allen Tannenbaum

We study the optimal power flow problem with switching (or, equivalently, the line expansion problem) under demand uncertainty. Specifically, we consider the line-use variables at the first stage and the current- or power-flow at the second…

Optimization and Control · Mathematics 2016-01-26 Jakub Marecek , Adam Ouorou , Guanglei Wang

We investigate the Robust Multiperiod Network Design Problem, a generalization of the Capacitated Network Design Problem (CNDP) that, besides establishing flow routing and network capacity installation as in a canonical CNDP, also considers…

Optimization and Control · Mathematics 2017-05-01 Fabio D'Andreagiovanni , Jonatan Krolikowski , Jonad Pulaj

This paper studies a variant of the minimum-cost flow problem in a graph with convex cost function where the demands at the vertices are functions depending on a one-dimensional parameter $\lambda$. We devise two algorithmic approaches for…

Data Structures and Algorithms · Computer Science 2022-03-25 Per Joachims , Max Klimm , Philipp Warode

We present a study of the application of a variant of a recently introduced heuristic algorithm for the optimization of transport routes on complex networks to the problem of finding the optimal routes of communication between nodes on…

Physics and Society · Physics 2009-11-13 Yong Yu , Bogdan Danila , John A. Marsh , Kevin E. Bassler

Motivated by recent progress in quantum hardware and algorithms researchers have developed quantum heuristics for optimization problems, aiming for advantages over classical methods. To date, quantum hardware is still error-prone and…

Quantum Physics · Physics 2026-04-27 Friedrich Wagner , Frauke Liers

Origin-destination integer multicommodity flow problems differ from classic multicommodity models in that each commodity has one source and one sink, and each commodity must be routed along a single path. A new invisible-hand heuristic that…

Data Structures and Algorithms · Computer Science 2020-07-15 Richard S. Barr , Thomas McLoud

Column generation is an iterative method used to solve a variety of optimization problems. It decomposes the problem into two parts: a master problem, and one or more pricing problems (PP). The total computing time taken by the method is…

Optimization and Control · Mathematics 2022-01-10 Mouad Morabit , Guy Desaulniers , Andrea Lodi

In this paper a class of robust two-stage combinatorial optimization problems is discussed. It is assumed that the uncertain second stage costs are specified in the form of a convex uncertainty set, in particular polyhedral or ellipsoidal…

Data Structures and Algorithms · Computer Science 2019-05-08 Marc Goerigk , Adam Kasperski , Pawel Zielinski

We investigate the Robust Multiperiod Network Design Problem, a generalization of the classical Capacitated Network Design Problem that additionally considers multiple design periods and provides solutions protected against traffic…

Optimization and Control · Mathematics 2017-04-25 Fabio D'Andreagiovanni , Jonatan Krolikowski , Jonad Pulaj

Robust optimization (RO) tackles data uncertainty by optimizing for the worst-case scenario of an uncertain parameter and, in its basic form, is sometimes criticized for producing overly-conservative solutions. To reduce the level of…

Optimization and Control · Mathematics 2022-02-21 Milad Dehghani Filabadi , Houra Mahmoudzadeh

The minimum common string partition problem is an NP-hard combinatorial optimization problem with applications in computational biology. In this work we propose the first integer linear programming model for solving this problem. Moreover,…

Artificial Intelligence · Computer Science 2014-05-23 Christian Blum , José A. Lozano , Pedro Pinacho Davidson
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