Matches in SemOpenAlex for { <https://semopenalex.org/work/W2057974838> ?p ?o ?g. }
Showing items 1 to 98 of
98
with 100 items per page.
- W2057974838 endingPage "227" @default.
- W2057974838 startingPage "211" @default.
- W2057974838 abstract "A geometric program concerns minimizing a function subject to constraint functions, all functions being of posynomial form. In this paper the posynomial functions are condensed to monomial form by the use of the inequality reducing a weighted arithmetic mean to a weighted geometric mean. The geometric mean is a monomial and by a logarithmic transformation it becomes a linear function. This observation shows that the condensed program is equivalent to a linear program. Moreover by suitable choice of the weights it is found that the minimum of the condensed program is the same as the minimum of the original programs. This fact together with the duality theorem of linear programming proves that the maximum of the dual geometric program is equal to the minimum of the primal geometric program. With this result as a basis a new approach to the duality properties of geometric programs is carried through. In particular it is shown that a “duality gap” cannot occur in geometric programming." @default.
- W2057974838 created "2016-06-24" @default.
- W2057974838 creator A5069448707 @default.
- W2057974838 date "1970-04-01" @default.
- W2057974838 modified "2023-10-02" @default.
- W2057974838 title "Linearizing Geometric Programs" @default.
- W2057974838 cites W1965855115 @default.
- W2057974838 cites W2012375689 @default.
- W2057974838 cites W2068677961 @default.
- W2057974838 doi "https://doi.org/10.1137/1012043" @default.
- W2057974838 hasPublicationYear "1970" @default.
- W2057974838 type Work @default.
- W2057974838 sameAs 2057974838 @default.
- W2057974838 citedByCount "119" @default.
- W2057974838 countsByYear W20579748382012 @default.
- W2057974838 countsByYear W20579748382013 @default.
- W2057974838 countsByYear W20579748382015 @default.
- W2057974838 countsByYear W20579748382016 @default.
- W2057974838 countsByYear W20579748382018 @default.
- W2057974838 countsByYear W20579748382019 @default.
- W2057974838 countsByYear W20579748382020 @default.
- W2057974838 countsByYear W20579748382022 @default.
- W2057974838 countsByYear W20579748382023 @default.
- W2057974838 crossrefType "journal-article" @default.
- W2057974838 hasAuthorship W2057974838A5069448707 @default.
- W2057974838 hasConcept C104317684 @default.
- W2057974838 hasConcept C11252640 @default.
- W2057974838 hasConcept C115961682 @default.
- W2057974838 hasConcept C12426560 @default.
- W2057974838 hasConcept C126255220 @default.
- W2057974838 hasConcept C134306372 @default.
- W2057974838 hasConcept C136119220 @default.
- W2057974838 hasConcept C14036430 @default.
- W2057974838 hasConcept C154945302 @default.
- W2057974838 hasConcept C185592680 @default.
- W2057974838 hasConcept C202444582 @default.
- W2057974838 hasConcept C204241405 @default.
- W2057974838 hasConcept C20729856 @default.
- W2057974838 hasConcept C2524010 @default.
- W2057974838 hasConcept C2776036281 @default.
- W2057974838 hasConcept C2778023678 @default.
- W2057974838 hasConcept C28826006 @default.
- W2057974838 hasConcept C33923547 @default.
- W2057974838 hasConcept C39927690 @default.
- W2057974838 hasConcept C40222840 @default.
- W2057974838 hasConcept C41008148 @default.
- W2057974838 hasConcept C41045048 @default.
- W2057974838 hasConcept C55493867 @default.
- W2057974838 hasConcept C56435381 @default.
- W2057974838 hasConcept C78458016 @default.
- W2057974838 hasConcept C86803240 @default.
- W2057974838 hasConceptScore W2057974838C104317684 @default.
- W2057974838 hasConceptScore W2057974838C11252640 @default.
- W2057974838 hasConceptScore W2057974838C115961682 @default.
- W2057974838 hasConceptScore W2057974838C12426560 @default.
- W2057974838 hasConceptScore W2057974838C126255220 @default.
- W2057974838 hasConceptScore W2057974838C134306372 @default.
- W2057974838 hasConceptScore W2057974838C136119220 @default.
- W2057974838 hasConceptScore W2057974838C14036430 @default.
- W2057974838 hasConceptScore W2057974838C154945302 @default.
- W2057974838 hasConceptScore W2057974838C185592680 @default.
- W2057974838 hasConceptScore W2057974838C202444582 @default.
- W2057974838 hasConceptScore W2057974838C204241405 @default.
- W2057974838 hasConceptScore W2057974838C20729856 @default.
- W2057974838 hasConceptScore W2057974838C2524010 @default.
- W2057974838 hasConceptScore W2057974838C2776036281 @default.
- W2057974838 hasConceptScore W2057974838C2778023678 @default.
- W2057974838 hasConceptScore W2057974838C28826006 @default.
- W2057974838 hasConceptScore W2057974838C33923547 @default.
- W2057974838 hasConceptScore W2057974838C39927690 @default.
- W2057974838 hasConceptScore W2057974838C40222840 @default.
- W2057974838 hasConceptScore W2057974838C41008148 @default.
- W2057974838 hasConceptScore W2057974838C41045048 @default.
- W2057974838 hasConceptScore W2057974838C55493867 @default.
- W2057974838 hasConceptScore W2057974838C56435381 @default.
- W2057974838 hasConceptScore W2057974838C78458016 @default.
- W2057974838 hasConceptScore W2057974838C86803240 @default.
- W2057974838 hasIssue "2" @default.
- W2057974838 hasLocation W20579748381 @default.
- W2057974838 hasOpenAccess W2057974838 @default.
- W2057974838 hasPrimaryLocation W20579748381 @default.
- W2057974838 hasRelatedWork W1969647684 @default.
- W2057974838 hasRelatedWork W2015946634 @default.
- W2057974838 hasRelatedWork W2018233730 @default.
- W2057974838 hasRelatedWork W2035875137 @default.
- W2057974838 hasRelatedWork W2043006884 @default.
- W2057974838 hasRelatedWork W2090726416 @default.
- W2057974838 hasRelatedWork W2130743215 @default.
- W2057974838 hasRelatedWork W2141460764 @default.
- W2057974838 hasRelatedWork W2149623705 @default.
- W2057974838 hasRelatedWork W4313901703 @default.
- W2057974838 hasVolume "12" @default.
- W2057974838 isParatext "false" @default.
- W2057974838 isRetracted "false" @default.
- W2057974838 magId "2057974838" @default.
- W2057974838 workType "article" @default.