We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Convergence in the total variation norm in multiserver queues.
- Authors
Foss, Sergey
- Abstract
Similarly to the one-dimensional case, one can define vectors HT <math xmlns="http://www.w3.org/1998/Math/MathML"><msubsup><mi mathvariant="bold">M</mi><mi>n</mi><mrow><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo></mrow></msubsup></math> ht which satisfy a recursion that is more complex than (2). And converge a.s. to a limiting random vector that has the minimal stationary distribution HT <math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi> </mi><mrow><mi mathvariant="italic">min</mi></mrow></msub></math> ht (see, for example, [[8]]). Here the stability condition is HT <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mi mathvariant="bold">E</mi><msub><mi>s</mi><mn>1</mn></msub><mo> </mo><mi>m</mi><mi mathvariant="bold">E</mi><msub><mi>t</mi><mn>1</mn></msub></mrow></math> ht .
- Subjects
QUEUING theory; MODULES (Algebra)
- Publication
Queueing Systems, 2022, Vol 100, Issue 3/4, p293
- ISSN
0257-0130
- Publication type
Article
- DOI
10.1007/s11134-022-09807-1