Detailed Information
Cited 0 time in 
Cited 0 time in 
Cited 0 time in
Metadata Downloads
Asymptotics in the MAP/G/1 Queue with Critical Load
- Authors
- Kim, Jeongsim; Kim, Bara
- Issue Date
- 2010
- Publisher
- TAYLOR & FRANCIS INC
- Keywords
- Loss probability; Markovian arrival process; Stationary measure; Stationary probability vector; Wiener-Hopf theory
- Citation
- STOCHASTIC ANALYSIS AND APPLICATIONS, v.28, no.1, pp.157 - 168
- Indexed
- SCIE
SCOPUS
- Journal Title
- STOCHASTIC ANALYSIS AND APPLICATIONS
- Volume
- 28
- Number
- 1
- Start Page
- 157
- End Page
- 168
- ISSN
- 0736-2994
- Abstract
- When the offered load is 1, we investigate the asymptotic behavior of the stationary measure for the MAP/G/1 queue and the asymptotic behavior of the loss probability for the finite buffer MAP/G/1/K+1 queue. Unlike Baiocchi [Stochastic Models 10(1994):867-893], we assume neither the time reversibility of the MAP nor the exponential moment condition for the service time distribution. Our result generalizes the result of Baiocchi for the critical case =1 and solves the problem conjectured by Kim et al. [Operations Research Letters 36(2008):127-132].
- Files in This Item
- There are no files associated with this item.
- Appears in
Collections - College of Science > Department of Mathematics > 1. Journal Articles
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.