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- Title
Norton's theorem and insensitivity.
- Authors
Boucherie, Richard J.
- Abstract
The equilibrium probability for HT <math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>C</mi><mi>r</mi></msub></math> ht is HT <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><msub><mi> </mi><mi>r</mi></msub><mrow><mo stretchy="false">(</mo><msub><mi mathvariant="bold">x</mi><mi>r</mi></msub><mo stretchy="false">)</mo></mrow><mo>=</mo><msub><mo> </mo><mi>i</mi></msub><mfrac><msubsup><mi> </mi><mrow><mi mathvariant="italic">ri</mi></mrow><msub><mi>x</mi><mrow><mi mathvariant="italic">ri</mi></mrow></msub></msubsup><mrow><msub><mi>x</mi><mrow><mi mathvariant="italic">ri</mi></mrow></msub><mo>! </mo></mrow></mfrac><msup><mrow><mi mathvariant="normal">e</mi></mrow><mrow><mo>-</mo><msub><mo> </mo><mi>i</mi></msub><msub><mi> </mi><mrow><mi mathvariant="italic">ri</mi></mrow></msub></mrow></msup></mrow></math> ht . Let HT <math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>c</mi><mi>r</mi></msub></math> ht contain HT <math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>X</mi><mi>r</mi></msub></math> ht customers with HT <math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi mathvariant="bold">x</mi><mrow><mi mathvariant="italic">ri</mi></mrow></msub></math> ht customers in phase I i i .
- Subjects
QUEUEING Networks: A Fundamental Approach (Book); QUEUEING networks; MARKOV processes; STOCHASTIC systems; SERVICE stations
- Publication
Queueing Systems, 2022, Vol 100, Issue 3/4, p181
- ISSN
0257-0130
- Publication type
Article
- DOI
10.1007/s11134-022-09825-z