Optimization with uncertain, inexact or unstable data: Linear programming and the interval approach
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F13%3A10159433" target="_blank" >RIV/00216208:11320/13:10159433 - isvavai.cz</a>
Alternative codes found
RIV/61384399:31140/13:00041858
Result on the web
<a href="http://kam.mff.cuni.cz/~hladik/doc/2013-proc-SMSIS-OptUncDataIntAppr.pdf" target="_blank" >http://kam.mff.cuni.cz/~hladik/doc/2013-proc-SMSIS-OptUncDataIntAppr.pdf</a>
DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Optimization with uncertain, inexact or unstable data: Linear programming and the interval approach
Original language description
This paper accompanies our invited lecture on interval methods in optimization. First, we put the interval approach in context with other approaches to modeling inexactness, instability or imprecision of input data; in particular, we discuss the stochastic and fuzzy approach. Then we turn to interval linear programming. We show some important aspects in which the interval-valued linear programs differ from traditional linear programs. We emphasize how various formulations of the auxiliary linear program, which are equivalent in the traditional setting, differ in the interval setting from the computational point of view. We also consider some natural questions, e.g. weak and strong feasibility and the problem of finding the range of possible optimal values and the catastrophic scenario. We also point out some (subjectively selected) interesting open problems in the field.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BB - Applied statistics, operational research
OECD FORD branch
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Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Proceedings of the 10th International Conference on Strategic Management and its Support by Information Systems
ISBN
978-80-248-3096-4
ISSN
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e-ISSN
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Number of pages
9
Pages from-to
35-43
Publisher name
VŠB - Technical University of Ostrava
Place of publication
Ostrava
Event location
Valašské Meziříčí
Event date
Aug 29, 2013
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000324842000003