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https://doi.org/10.17535/crorr.2019.0018

The best, the worst and the semi-strong: optimal values in interval linear programming

Elif Garajová   ORCID icon orcid.org/0000-0002-3052-5970 ; Faculty of Mathematics and Physics, Charles University, Prague
Milan Hladík   ORCID icon orcid.org/0000-0002-7340-8491 ; Faculty of Mathematics and Physics, Charles University, Prague
Miroslav Rada   ORCID icon orcid.org/0000-0002-1761-897X ; Faculty of Finance and Accounting, University of Economics, Prague

Puni tekst: engleski, PDF (302 KB) str. 201-209 preuzimanja: 209* citiraj
APA 6th Edition
Garajová, E., Hladík, M. i Rada, M. (2019). The best, the worst and the semi-strong: optimal values in interval linear programming. Croatian Operational Research Review, 10 (2), 201-209. https://doi.org/10.17535/crorr.2019.0018
MLA 8th Edition
Garajová, Elif, et al. "The best, the worst and the semi-strong: optimal values in interval linear programming." Croatian Operational Research Review, vol. 10, br. 2, 2019, str. 201-209. https://doi.org/10.17535/crorr.2019.0018. Citirano 27.07.2021.
Chicago 17th Edition
Garajová, Elif, Milan Hladík i Miroslav Rada. "The best, the worst and the semi-strong: optimal values in interval linear programming." Croatian Operational Research Review 10, br. 2 (2019): 201-209. https://doi.org/10.17535/crorr.2019.0018
Harvard
Garajová, E., Hladík, M., i Rada, M. (2019). 'The best, the worst and the semi-strong: optimal values in interval linear programming', Croatian Operational Research Review, 10(2), str. 201-209. https://doi.org/10.17535/crorr.2019.0018
Vancouver
Garajová E, Hladík M, Rada M. The best, the worst and the semi-strong: optimal values in interval linear programming. Croatian Operational Research Review [Internet]. 2019 [pristupljeno 27.07.2021.];10(2):201-209. https://doi.org/10.17535/crorr.2019.0018
IEEE
E. Garajová, M. Hladík i M. Rada, "The best, the worst and the semi-strong: optimal values in interval linear programming", Croatian Operational Research Review, vol.10, br. 2, str. 201-209, 2019. [Online]. https://doi.org/10.17535/crorr.2019.0018

Sažetak

Interval programming provides one of the modern approaches to modeling optimization problems under uncertainty. Traditionally, the best and the worst optimal values determining the optimal value range are considered as the main solution concept for interval programs. In this paper, we present the concept of semi-strong values as a generalization of the best and the worst optimal values. Semi-strong values extend the recently introduced notion of semi-strong optimal solutions, allowing the model to cover a wider range of applications. We propose conditions for testing values that are strong with respect to the objective vector, right-hand-side vector or the constraint matrix for interval linear programs in the general form.

Ključne riječi
linear programming; interval data; optimal value; semi-strong value

Hrčak ID: 229890

URI
https://hrcak.srce.hr/229890

Posjeta: 398 *