On stability and quasi-stability radii for a vector combinatorial problem with a parametric optimality principle
Закрыть
Conţinutul numărului revistei
Articolul precedent
Articolul urmator
893 0
SM ISO690:2012
EMELICHEV, Vladimir, GUREVSKY, Evgeny, PLATONOV, Andrey. On stability and quasi-stability radii for a vector combinatorial problem with a parametric optimality principle. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2009, nr. 2(60), pp. 55-61. ISSN 1024-7696.
EXPORT metadate:
Google Scholar
Crossref
CERIF

DataCite
Dublin Core
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 2(60) / 2009 / ISSN 1024-7696 /ISSNe 2587-4322

On stability and quasi-stability radii for a vector combinatorial problem with a parametric optimality principle

Pag. 55-61

Emelichev Vladimir, Gurevsky Evgeny, Platonov Andrey
 
Institute of Mathematics and Computer Science ASM
 
 
Disponibil în IBN: 7 decembrie 2013


Rezumat

A vector combinatorial linear problem with a parametric optimality principle that allows us to relate the well-known choice functions of jointly-extremal and Pareto solution is considered. A quantitative analysis of stability for the set of generalized efficient trajectories under the independent perturbations of coefficients of linear functions is performed. Formulas of stability and quasi-stability radii are obtained in the l∞-metric. Some results published earlier are derived as corollaries.

Cuvinte-cheie
multiobjectivity, Pareto optimality, jointly-extremal optimality,

combinatorial optimization, stability radius

DataCite XML Export

<?xml version='1.0' encoding='utf-8'?>
<resource xmlns:xsi='http://www.w3.org/2001/XMLSchema-instance' xmlns='http://datacite.org/schema/kernel-3' xsi:schemaLocation='http://datacite.org/schema/kernel-3 http://schema.datacite.org/meta/kernel-3/metadata.xsd'>
<creators>
<creator>
<creatorName>Emelichev, V.A.</creatorName>
<affiliation>Institutul de Matematică şi Informatică al AŞM, Moldova, Republica</affiliation>
</creator>
<creator>
<creatorName>Gurevsky, E.E.</creatorName>
</creator>
<creator>
<creatorName>Platonov, A.</creatorName>
</creator>
</creators>
<titles>
<title xml:lang='en'>On stability and quasi-stability radii for a vector combinatorial problem with a parametric optimality principle</title>
</titles>
<publisher>Instrumentul Bibliometric National</publisher>
<publicationYear>2009</publicationYear>
<relatedIdentifier relatedIdentifierType='ISSN' relationType='IsPartOf'>1024-7696</relatedIdentifier>
<subjects>
<subject>multiobjectivity</subject>
<subject>combinatorial optimization</subject>
<subject>Pareto
optimality</subject>
<subject>jointly-extremal optimality</subject>
<subject>stability radius</subject>
</subjects>
<dates>
<date dateType='Issued'>2009-08-03</date>
</dates>
<resourceType resourceTypeGeneral='Text'>Journal article</resourceType>
<descriptions>
<description xml:lang='en' descriptionType='Abstract'>A vector combinatorial linear problem with a parametric optimality principle that allows us to relate the well-known choice functions of jointly-extremal and Pareto solution is considered. A quantitative analysis of stability for the set of generalized efficient trajectories under the independent perturbations of coefficients of linear functions is performed. Formulas of stability and quasi-stability radii are obtained in the l∞-metric. Some results published earlier are derived as corollaries.</description>
</descriptions>
<formats>
<format>application/pdf</format>
</formats>
</resource>