Matches in SemOpenAlex for { <https://semopenalex.org/work/W2100436986> ?p ?o ?g. }
Showing items 1 to 94 of
94
with 100 items per page.
- W2100436986 endingPage "27" @default.
- W2100436986 startingPage "1" @default.
- W2100436986 abstract "We establish heavy-traffic stochastic-process limits for queue-length, waiting-time and overflow stochastic processes in a class of G/GI/n/m queueing models with n servers and m extra waiting spaces. We let the arrival process be general, only requiring that it satisfy a functional central limit theorem. To capture the impact of the service-time distribution beyond its mean within a Markovian framework, we consider a special class of service-time distributions, denoted by H 2 * , which are mixtures of an exponential distribution with probability p and a unit point mass at 0 with probability 1−p. These service-time distributions exhibit relatively high variability, having squared coefficients of variation greater than or equal to one. As in Halfin and Whitt (1981, Heavy-traffic limits for queues with many exponential servers, Oper. Res. 29 567–588), Puhalskii and Reiman (2000, The multiclass GI/PH/N queue in the Halfin-Whitt regime. Adv. Appl. Probab. 32 564–595), and Garnett, Mandelbaum, and Reiman (2002. Designing a call center with impatient customers. Manufacturing Service Oper. Management, 4 208–227), we consider a sequence of queueing models indexed by the number of servers, n, and let n tend to infinity along with the traffic intensities Ρ n so that √n (1 − Ρ n ) → β for −∞ < β < ∞. To treat finite waiting rooms, we let m n √n → κ for 0 < κ < ∞. With the special H 2 * service-time distribution, the limit processes are one-dimensional Markov processes, behaving like diffusion processes with different drift and diffusion functions in two different regions, above and below zero. We also establish a limit for the G/M/n/m+M model, having exponential customer abandonments." @default.
- W2100436986 created "2016-06-24" @default.
- W2100436986 creator A5083215472 @default.
- W2100436986 date "2005-02-01" @default.
- W2100436986 modified "2023-10-18" @default.
- W2100436986 title "Heavy-Traffic Limits for the <i>G</i>/<i>H</i><sub>2</sub>*/<i>n</i>/<i>m</i>Queue" @default.
- W2100436986 cites W1514537332 @default.
- W2100436986 cites W1593035888 @default.
- W2100436986 cites W1622874078 @default.
- W2100436986 cites W1970030120 @default.
- W2100436986 cites W1976267292 @default.
- W2100436986 cites W1995245183 @default.
- W2100436986 cites W2011786610 @default.
- W2100436986 cites W2069832590 @default.
- W2100436986 cites W2075259347 @default.
- W2100436986 cites W2084052765 @default.
- W2100436986 cites W2101774814 @default.
- W2100436986 cites W2112424601 @default.
- W2100436986 cites W2129078615 @default.
- W2100436986 cites W2315252580 @default.
- W2100436986 cites W2802739963 @default.
- W2100436986 cites W361471363 @default.
- W2100436986 cites W4213329537 @default.
- W2100436986 cites W4235155168 @default.
- W2100436986 cites W4249599116 @default.
- W2100436986 cites W4252302949 @default.
- W2100436986 cites W4362225797 @default.
- W2100436986 doi "https://doi.org/10.1287/moor.1040.0119" @default.
- W2100436986 hasPublicationYear "2005" @default.
- W2100436986 type Work @default.
- W2100436986 sameAs 2100436986 @default.
- W2100436986 citedByCount "63" @default.
- W2100436986 countsByYear W21004369862012 @default.
- W2100436986 countsByYear W21004369862013 @default.
- W2100436986 countsByYear W21004369862014 @default.
- W2100436986 countsByYear W21004369862015 @default.
- W2100436986 countsByYear W21004369862016 @default.
- W2100436986 countsByYear W21004369862017 @default.
- W2100436986 countsByYear W21004369862018 @default.
- W2100436986 countsByYear W21004369862020 @default.
- W2100436986 countsByYear W21004369862022 @default.
- W2100436986 crossrefType "journal-article" @default.
- W2100436986 hasAuthorship W2100436986A5083215472 @default.
- W2100436986 hasConcept C105795698 @default.
- W2100436986 hasConcept C114614502 @default.
- W2100436986 hasConcept C118615104 @default.
- W2100436986 hasConcept C124444977 @default.
- W2100436986 hasConcept C128220111 @default.
- W2100436986 hasConcept C134306372 @default.
- W2100436986 hasConcept C151201525 @default.
- W2100436986 hasConcept C160403385 @default.
- W2100436986 hasConcept C22684755 @default.
- W2100436986 hasConcept C31258907 @default.
- W2100436986 hasConcept C33923547 @default.
- W2100436986 hasConcept C41008148 @default.
- W2100436986 hasConcept C55350006 @default.
- W2100436986 hasConcept C66295387 @default.
- W2100436986 hasConcept C93996380 @default.
- W2100436986 hasConceptScore W2100436986C105795698 @default.
- W2100436986 hasConceptScore W2100436986C114614502 @default.
- W2100436986 hasConceptScore W2100436986C118615104 @default.
- W2100436986 hasConceptScore W2100436986C124444977 @default.
- W2100436986 hasConceptScore W2100436986C128220111 @default.
- W2100436986 hasConceptScore W2100436986C134306372 @default.
- W2100436986 hasConceptScore W2100436986C151201525 @default.
- W2100436986 hasConceptScore W2100436986C160403385 @default.
- W2100436986 hasConceptScore W2100436986C22684755 @default.
- W2100436986 hasConceptScore W2100436986C31258907 @default.
- W2100436986 hasConceptScore W2100436986C33923547 @default.
- W2100436986 hasConceptScore W2100436986C41008148 @default.
- W2100436986 hasConceptScore W2100436986C55350006 @default.
- W2100436986 hasConceptScore W2100436986C66295387 @default.
- W2100436986 hasConceptScore W2100436986C93996380 @default.
- W2100436986 hasIssue "1" @default.
- W2100436986 hasLocation W21004369861 @default.
- W2100436986 hasOpenAccess W2100436986 @default.
- W2100436986 hasPrimaryLocation W21004369861 @default.
- W2100436986 hasRelatedWork W1971290713 @default.
- W2100436986 hasRelatedWork W2071304602 @default.
- W2100436986 hasRelatedWork W2074835314 @default.
- W2100436986 hasRelatedWork W2103347004 @default.
- W2100436986 hasRelatedWork W2141489827 @default.
- W2100436986 hasRelatedWork W2903079440 @default.
- W2100436986 hasRelatedWork W2906785681 @default.
- W2100436986 hasRelatedWork W4245685274 @default.
- W2100436986 hasRelatedWork W4281809153 @default.
- W2100436986 hasRelatedWork W2469323227 @default.
- W2100436986 hasVolume "30" @default.
- W2100436986 isParatext "false" @default.
- W2100436986 isRetracted "false" @default.
- W2100436986 magId "2100436986" @default.
- W2100436986 workType "article" @default.