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A scenario-based approach for robust linear optimization

Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSNConference contribution/Paperpeer-review

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A scenario-based approach for robust linear optimization. / Goerigk, Marc; Schöbel, Anita.
Theory and Practice of Algorithms in (Computer) Systems. ed. / Alberto Marchetti-Spaccamela; Michael Segal. Berlin: Springer, 2011. p. 139-150 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 6595).

Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSNConference contribution/Paperpeer-review

Harvard

Goerigk, M & Schöbel, A 2011, A scenario-based approach for robust linear optimization. in A Marchetti-Spaccamela & M Segal (eds), Theory and Practice of Algorithms in (Computer) Systems. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 6595, Springer, Berlin, pp. 139-150, 1st International ICST Conference on Theory and Practice of Algorithms in (Computer) Systems, TAPAS 2011, Rome, Italy, 18/04/11. https://doi.org/10.1007/978-3-642-19754-3_15

APA

Goerigk, M., & Schöbel, A. (2011). A scenario-based approach for robust linear optimization. In A. Marchetti-Spaccamela, & M. Segal (Eds.), Theory and Practice of Algorithms in (Computer) Systems (pp. 139-150). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 6595). Springer. https://doi.org/10.1007/978-3-642-19754-3_15

Vancouver

Goerigk M, Schöbel A. A scenario-based approach for robust linear optimization. In Marchetti-Spaccamela A, Segal M, editors, Theory and Practice of Algorithms in (Computer) Systems. Berlin: Springer. 2011. p. 139-150. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-642-19754-3_15

Author

Goerigk, Marc ; Schöbel, Anita. / A scenario-based approach for robust linear optimization. Theory and Practice of Algorithms in (Computer) Systems. editor / Alberto Marchetti-Spaccamela ; Michael Segal. Berlin : Springer, 2011. pp. 139-150 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

Bibtex

@inproceedings{4f6a41fe42144e13aac45a5dd6743ac5,
title = "A scenario-based approach for robust linear optimization",
abstract = "Finding robust solutions of an optimization problem is an important issue in practice. The established concept of Ben-Tal et al. [2] requires that a robust solution is feasible for all possible scenarios. However, this concept is very conservative and hence may lead to solutions with a bad objective value and is in many cases hard to solve. Thus it is not suitable for most practical applications. In this paper we suggest an algorithm for calculating robust solutions that is easy to implement and not as conservative as the strict robustness approach. We show some theoretical properties of our approach and evaluate it using linear programming problems from NetLib.",
keywords = "Algorithm Engineering, Linear Programming, Location Theory, Robust Optimization",
author = "Marc Goerigk and Anita Sch{\"o}bel",
year = "2011",
doi = "10.1007/978-3-642-19754-3_15",
language = "English",
isbn = "9783642197536",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer",
pages = "139--150",
editor = "Alberto Marchetti-Spaccamela and Michael Segal",
booktitle = "Theory and Practice of Algorithms in (Computer) Systems",
note = "1st International ICST Conference on Theory and Practice of Algorithms in (Computer) Systems, TAPAS 2011 ; Conference date: 18-04-2011 Through 20-04-2011",

}

RIS

TY - GEN

T1 - A scenario-based approach for robust linear optimization

AU - Goerigk, Marc

AU - Schöbel, Anita

PY - 2011

Y1 - 2011

N2 - Finding robust solutions of an optimization problem is an important issue in practice. The established concept of Ben-Tal et al. [2] requires that a robust solution is feasible for all possible scenarios. However, this concept is very conservative and hence may lead to solutions with a bad objective value and is in many cases hard to solve. Thus it is not suitable for most practical applications. In this paper we suggest an algorithm for calculating robust solutions that is easy to implement and not as conservative as the strict robustness approach. We show some theoretical properties of our approach and evaluate it using linear programming problems from NetLib.

AB - Finding robust solutions of an optimization problem is an important issue in practice. The established concept of Ben-Tal et al. [2] requires that a robust solution is feasible for all possible scenarios. However, this concept is very conservative and hence may lead to solutions with a bad objective value and is in many cases hard to solve. Thus it is not suitable for most practical applications. In this paper we suggest an algorithm for calculating robust solutions that is easy to implement and not as conservative as the strict robustness approach. We show some theoretical properties of our approach and evaluate it using linear programming problems from NetLib.

KW - Algorithm Engineering

KW - Linear Programming

KW - Location Theory

KW - Robust Optimization

U2 - 10.1007/978-3-642-19754-3_15

DO - 10.1007/978-3-642-19754-3_15

M3 - Conference contribution/Paper

AN - SCOPUS:79953834519

SN - 9783642197536

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 139

EP - 150

BT - Theory and Practice of Algorithms in (Computer) Systems

A2 - Marchetti-Spaccamela, Alberto

A2 - Segal, Michael

PB - Springer

CY - Berlin

T2 - 1st International ICST Conference on Theory and Practice of Algorithms in (Computer) Systems, TAPAS 2011

Y2 - 18 April 2011 through 20 April 2011

ER -