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- Title
Multivariate M/G/1 systems with coupled input and parallel service.
- Authors
Mandjes, Michel
- Abstract
Problem statement Let HT <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mi mathvariant="bold-italic">Q</mi></mrow></math> ht denote the I d i -dimensional stationary workload, formally defined in [[5]]. Let HT <math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mover accent="true"><mi>Q</mi><mo stretchy="false">^</mo></mover><mi>i</mi></msub></math> ht be the sum of HT <math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>Q</mi><mn>1</mn></msub></math> ht up to HT <math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>Q</mi><mi>i</mi></msub></math> ht . We impose the stability assumption that for all I i i the load HT <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mi> </mi><mspace width="0.166667em" /><mi mathvariant="double-struck">E</mi><msub><mi>B</mi><mi>i</mi></msub></mrow></math> ht is smaller than 1.
- Subjects
POISSON processes; DISTRIBUTION (Probability theory); LEVY processes; LARGE deviations (Mathematics); FREDHOLM equations
- Publication
Queueing Systems, 2022, Vol 100, Issue 3/4, p309
- ISSN
0257-0130
- Publication type
Article
- DOI
10.1007/s11134-022-09743-0