Matches in SemOpenAlex for { <https://semopenalex.org/work/W4292620706> ?p ?o ?g. }
Showing items 1 to 70 of
70
with 100 items per page.
- W4292620706 abstract "The simplex method is a well-studied and widely-used pivoting method for solving linear programs. When Dantzig originally formulated the simplex method, he gave a natural pivot rule that pivots into the basis a variable with the most violated reduced cost. In their seminal work, Klee and Minty showed that this pivot rule takes exponential time in the worst case. We prove two main results on the simplex method. Firstly, we show that it is PSPACE-complete to find the solution that is computed by the simplex method using Dantzig's pivot rule. Secondly, we prove that deciding whether Dantzig's rule ever chooses a specific variable to enter the basis is PSPACE-complete. We use the known connection between Markov decision processes (MDPs) and linear programming, and an equivalence between Dantzig's pivot rule and a natural variant of policy iteration for average-reward MDPs. We construct MDPs and show PSPACE-completeness results for single-switch policy iteration, which in turn imply our main results for the simplex method." @default.
- W4292620706 created "2022-08-22" @default.
- W4292620706 creator A5029623300 @default.
- W4292620706 creator A5084692264 @default.
- W4292620706 date "2014-04-02" @default.
- W4292620706 modified "2023-10-17" @default.
- W4292620706 title "The Complexity of the Simplex Method" @default.
- W4292620706 doi "https://doi.org/10.48550/arxiv.1404.0605" @default.
- W4292620706 hasPublicationYear "2014" @default.
- W4292620706 type Work @default.
- W4292620706 citedByCount "0" @default.
- W4292620706 crossrefType "posted-content" @default.
- W4292620706 hasAuthorship W4292620706A5029623300 @default.
- W4292620706 hasAuthorship W4292620706A5084692264 @default.
- W4292620706 hasBestOaLocation W42926207061 @default.
- W4292620706 hasConcept C105795698 @default.
- W4292620706 hasConcept C106189395 @default.
- W4292620706 hasConcept C11413529 @default.
- W4292620706 hasConcept C114614502 @default.
- W4292620706 hasConcept C118615104 @default.
- W4292620706 hasConcept C12426560 @default.
- W4292620706 hasConcept C126255220 @default.
- W4292620706 hasConcept C134306372 @default.
- W4292620706 hasConcept C144521790 @default.
- W4292620706 hasConcept C159886148 @default.
- W4292620706 hasConcept C179799912 @default.
- W4292620706 hasConcept C182365436 @default.
- W4292620706 hasConcept C191157680 @default.
- W4292620706 hasConcept C197685441 @default.
- W4292620706 hasConcept C2524010 @default.
- W4292620706 hasConcept C2780069185 @default.
- W4292620706 hasConcept C33923547 @default.
- W4292620706 hasConcept C41045048 @default.
- W4292620706 hasConcept C62438384 @default.
- W4292620706 hasConceptScore W4292620706C105795698 @default.
- W4292620706 hasConceptScore W4292620706C106189395 @default.
- W4292620706 hasConceptScore W4292620706C11413529 @default.
- W4292620706 hasConceptScore W4292620706C114614502 @default.
- W4292620706 hasConceptScore W4292620706C118615104 @default.
- W4292620706 hasConceptScore W4292620706C12426560 @default.
- W4292620706 hasConceptScore W4292620706C126255220 @default.
- W4292620706 hasConceptScore W4292620706C134306372 @default.
- W4292620706 hasConceptScore W4292620706C144521790 @default.
- W4292620706 hasConceptScore W4292620706C159886148 @default.
- W4292620706 hasConceptScore W4292620706C179799912 @default.
- W4292620706 hasConceptScore W4292620706C182365436 @default.
- W4292620706 hasConceptScore W4292620706C191157680 @default.
- W4292620706 hasConceptScore W4292620706C197685441 @default.
- W4292620706 hasConceptScore W4292620706C2524010 @default.
- W4292620706 hasConceptScore W4292620706C2780069185 @default.
- W4292620706 hasConceptScore W4292620706C33923547 @default.
- W4292620706 hasConceptScore W4292620706C41045048 @default.
- W4292620706 hasConceptScore W4292620706C62438384 @default.
- W4292620706 hasLocation W42926207061 @default.
- W4292620706 hasLocation W42926207062 @default.
- W4292620706 hasOpenAccess W4292620706 @default.
- W4292620706 hasPrimaryLocation W42926207061 @default.
- W4292620706 hasRelatedWork W1529427812 @default.
- W4292620706 hasRelatedWork W2061874298 @default.
- W4292620706 hasRelatedWork W2089126542 @default.
- W4292620706 hasRelatedWork W2364748809 @default.
- W4292620706 hasRelatedWork W2385197181 @default.
- W4292620706 hasRelatedWork W2389521946 @default.
- W4292620706 hasRelatedWork W2393679935 @default.
- W4292620706 hasRelatedWork W2501873806 @default.
- W4292620706 hasRelatedWork W2765880078 @default.
- W4292620706 hasRelatedWork W2949701370 @default.
- W4292620706 isParatext "false" @default.
- W4292620706 isRetracted "false" @default.
- W4292620706 workType "article" @default.