Matches in SemOpenAlex for { <https://semopenalex.org/work/W1992749822> ?p ?o ?g. }
Showing items 1 to 100 of
100
with 100 items per page.
- W1992749822 endingPage "680" @default.
- W1992749822 startingPage "663" @default.
- W1992749822 abstract "We show how to compute the time-dependent blocking probability given an arbitrary initial state, the distribution of the time that all servers first become busy given an arbitrary initial state, the time-dependent mean number of busy servers given an arbitrary initial state, and the stationary covariance function for the number of busy servers over time in the Erlang loss model by numerically inverting the Laplace transforms of these quantities with respect to time. Algorithms for computing the transforms are available in the literature, but they do not seem to be widely known. We derive a new revealing expression for the transform of the covariance function. We show that the inversion algorithm is effective for large systems by doing examples with up to 10,000 servers. We also show that computations for very large systems (e.g., 106 servers) can be done with computations for moderately sized systems (e.g., 102-103 servers) and scaling associated with the heavy-traffic limit involving convergence of a normalized process to the reflected Ornstein-Uhlenbeck diffusion process. By the same reasoning, the Erlang model computations also can be used to calculate corresponding transient characteristics of the limiting reflected Ornstein-Uhlenbeck diffusion process." @default.
- W1992749822 created "2016-06-24" @default.
- W1992749822 creator A5036149897 @default.
- W1992749822 creator A5083215472 @default.
- W1992749822 date "1998-01-01" @default.
- W1992749822 modified "2023-10-02" @default.
- W1992749822 title "Calculating transient characteristics of the erlang loss model by numerical transform inversion" @default.
- W1992749822 cites W1976267292 @default.
- W1992749822 cites W1978197837 @default.
- W1992749822 cites W1999486100 @default.
- W1992749822 cites W2005171207 @default.
- W1992749822 cites W2005883619 @default.
- W1992749822 cites W2015818047 @default.
- W1992749822 cites W2022692365 @default.
- W1992749822 cites W2028882650 @default.
- W1992749822 cites W2029633324 @default.
- W1992749822 cites W2045086940 @default.
- W1992749822 cites W2061788572 @default.
- W1992749822 cites W2064737390 @default.
- W1992749822 cites W2079491906 @default.
- W1992749822 cites W2087819613 @default.
- W1992749822 cites W2096000770 @default.
- W1992749822 cites W2113750873 @default.
- W1992749822 cites W2116246631 @default.
- W1992749822 cites W2144525536 @default.
- W1992749822 cites W2155868261 @default.
- W1992749822 cites W2159752022 @default.
- W1992749822 doi "https://doi.org/10.1080/15326349808807494" @default.
- W1992749822 hasPublicationYear "1998" @default.
- W1992749822 type Work @default.
- W1992749822 sameAs 1992749822 @default.
- W1992749822 citedByCount "30" @default.
- W1992749822 countsByYear W19927498222012 @default.
- W1992749822 countsByYear W19927498222013 @default.
- W1992749822 countsByYear W19927498222014 @default.
- W1992749822 countsByYear W19927498222016 @default.
- W1992749822 countsByYear W19927498222017 @default.
- W1992749822 countsByYear W19927498222018 @default.
- W1992749822 countsByYear W19927498222019 @default.
- W1992749822 countsByYear W19927498222021 @default.
- W1992749822 crossrefType "journal-article" @default.
- W1992749822 hasAuthorship W1992749822A5036149897 @default.
- W1992749822 hasAuthorship W1992749822A5083215472 @default.
- W1992749822 hasConcept C105795698 @default.
- W1992749822 hasConcept C11413529 @default.
- W1992749822 hasConcept C126255220 @default.
- W1992749822 hasConcept C134306372 @default.
- W1992749822 hasConcept C136764020 @default.
- W1992749822 hasConcept C145437242 @default.
- W1992749822 hasConcept C151376022 @default.
- W1992749822 hasConcept C159886148 @default.
- W1992749822 hasConcept C178650346 @default.
- W1992749822 hasConcept C28826006 @default.
- W1992749822 hasConcept C33923547 @default.
- W1992749822 hasConcept C41008148 @default.
- W1992749822 hasConcept C42383842 @default.
- W1992749822 hasConcept C45374587 @default.
- W1992749822 hasConcept C80444323 @default.
- W1992749822 hasConcept C82484044 @default.
- W1992749822 hasConcept C93996380 @default.
- W1992749822 hasConcept C97937538 @default.
- W1992749822 hasConceptScore W1992749822C105795698 @default.
- W1992749822 hasConceptScore W1992749822C11413529 @default.
- W1992749822 hasConceptScore W1992749822C126255220 @default.
- W1992749822 hasConceptScore W1992749822C134306372 @default.
- W1992749822 hasConceptScore W1992749822C136764020 @default.
- W1992749822 hasConceptScore W1992749822C145437242 @default.
- W1992749822 hasConceptScore W1992749822C151376022 @default.
- W1992749822 hasConceptScore W1992749822C159886148 @default.
- W1992749822 hasConceptScore W1992749822C178650346 @default.
- W1992749822 hasConceptScore W1992749822C28826006 @default.
- W1992749822 hasConceptScore W1992749822C33923547 @default.
- W1992749822 hasConceptScore W1992749822C41008148 @default.
- W1992749822 hasConceptScore W1992749822C42383842 @default.
- W1992749822 hasConceptScore W1992749822C45374587 @default.
- W1992749822 hasConceptScore W1992749822C80444323 @default.
- W1992749822 hasConceptScore W1992749822C82484044 @default.
- W1992749822 hasConceptScore W1992749822C93996380 @default.
- W1992749822 hasConceptScore W1992749822C97937538 @default.
- W1992749822 hasIssue "3" @default.
- W1992749822 hasLocation W19927498221 @default.
- W1992749822 hasOpenAccess W1992749822 @default.
- W1992749822 hasPrimaryLocation W19927498221 @default.
- W1992749822 hasRelatedWork W1489392178 @default.
- W1992749822 hasRelatedWork W1971180038 @default.
- W1992749822 hasRelatedWork W1973794329 @default.
- W1992749822 hasRelatedWork W2026546515 @default.
- W1992749822 hasRelatedWork W2068566100 @default.
- W1992749822 hasRelatedWork W2102235500 @default.
- W1992749822 hasRelatedWork W2114282763 @default.
- W1992749822 hasRelatedWork W2144013635 @default.
- W1992749822 hasRelatedWork W4220938532 @default.
- W1992749822 hasRelatedWork W4302401894 @default.
- W1992749822 hasVolume "14" @default.
- W1992749822 isParatext "false" @default.
- W1992749822 isRetracted "false" @default.
- W1992749822 magId "1992749822" @default.
- W1992749822 workType "article" @default.