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- Title
Moderate deviation asymptotics of the GI/G/n queue in the Halfin–Whitt regime.
- Authors
Puhalskii, Anatolii A.
- Abstract
The arrival process is a renewal process of rate HT <math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi> </mi><mi>n</mi></msub></math> ht . Conjecture 1 Let HT <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><msub><mi>b</mi><mi>n</mi></msub><mo stretchy="false">-></mo><mi> </mi></mrow></math> ht and HT <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><msub><mi>b</mi><mi>n</mi></msub><mo stretchy="false">/</mo><msqrt><mi>n</mi></msqrt><mo stretchy="false">-></mo><mn>0</mn></mrow></math> ht , as HT <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mi>n</mi><mo stretchy="false">-></mo><mi> </mi></mrow></math> ht . Let HT <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mi> </mi><mo> </mo><mi mathvariant="double-struck">R</mi></mrow></math> ht and HT <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><msub><mi>z</mi><mn>0</mn></msub><mo> </mo><mi mathvariant="double-struck">R</mi></mrow></math> ht .
- Subjects
DISTRIBUTION (Probability theory); QUEUEING networks; METRIC spaces; INVARIANT measures; LEBESGUE measure; QUEUING theory; BOREL sets
- Publication
Queueing Systems, 2022, Vol 100, Issue 3/4, p341
- ISSN
0257-0130
- Publication type
Article
- DOI
10.1007/s11134-022-09769-4