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- Title
The two-matrix problem.
- Authors
Telek, Miklós
- Abstract
A possible way to transform HT <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mi mathvariant="bold-italic"> </mi></mrow></math> ht and HT <math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mrow><mi mathvariant="bold-italic">G</mi></mrow><mn>0</mn></msub></math> ht into a potentially larger Markovian representation could be the same as in [[9]]. I That is, i 1 HT <math display="block" xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mtable><mtr><mtd columnalign="right"><mrow><mrow><mi mathvariant="bold-italic"> </mi></mrow><msup><mi>e</mi><mrow><msub><mrow><mi mathvariant="bold-italic">G</mi></mrow><mn>0</mn></msub><msub><mi>t</mi><mn>1</mn></msub></mrow></msup><msub><mrow><mi mathvariant="bold-italic">G</mi></mrow><mn>1</mn></msub><msup><mi>e</mi><mrow><msub><mrow><mi mathvariant="bold-italic">G</mi></mrow><mn>0</mn></msub><msub><mi>t</mi><mn>2</mn></msub></mrow></msup><msub><mrow><mi mathvariant="bold-italic">G</mi></mrow><mn>1</mn></msub><mo>...</mo><msup><mi>e</mi><mrow><msub><mrow><mi mathvariant="bold-italic">G</mi></mrow><mn>0</mn></msub><msub><mi>t</mi><mi>k</mi></msub></mrow></msup><msub><mrow><mi mathvariant="bold-italic">G</mi></mrow><mn>1</mn></msub><mn mathvariant="double-struck">1</mn><mo»=</mo><mn>0</mn></mrow></mtd></mtr></mtable></mrow></math> ht Graph I for all i HT <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mi>k</mi><mo»=</mo><mn>1</mn></mrow></math> ht I and all i HT <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><msub><mi>t</mi><mn>1</mn></msub><mo>,</mo><msub><mi>t</mi><mn>2</mn></msub><mo>,</mo><mo>...</mo><mo>,</mo><msub><mi>t</mi><mi>k</mi></msub><mo> </mo><msup><mrow><mi mathvariant="double-struck">R</mi></mrow><mo>+</mo></msup></mrow></math> ht , I where i HT <math xmlns="http://www.w3.org/1998/Math/MathML"><mn mathvariant="double-struck">1</mn></math> ht I is the column vector of ones.
- Subjects
APPLIED mathematics; POINT processes; DISTRIBUTION (Probability theory); QUEUING theory; MATRIX functions
- Publication
Queueing Systems, 2022, Vol 100, Issue 3/4, p265
- ISSN
0257-0130
- Publication type
Article
- DOI
10.1007/s11134-022-09812-4