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Asymptotic behavior of the stationary distributions in the GI/PH/c queue with heterogeneous servers

✍ Scribed by Marcel F. Neuts; Yukio Takahashi


Book ID
105042892
Publisher
Springer
Year
1981
Tongue
English
Weight
538 KB
Volume
57
Category
Article
ISSN
1432-2064

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Asymptotic behavior of the stationary di
✍ Bara Kim; Jeongsim Kim; Jisu Lee πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 161 KB

We consider a finite QBD process with m levels. Assuming that the mean drift is 0, we obtain an asymptotic behavior (m) m ∼ (1/m)c as m β†’ ∞ in the stationary distribution ( (m) 0 , . . . , (m) m ), by finding an explicit expression for vector c. This solves the problem that was conjectured by Miyaza