| Autor: |
Ivo Adan, Onno Boxma, Jacques Resing |
| Přispěvatelé: |
EAISI High Tech Systems, Operations Planning Acc. & Control, Stochastic Operations Research |
| Jazyk: |
angličtina |
| Rok vydání: |
2022 |
| Předmět: |
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| Zdroj: |
Queueing Systems, 102(1-2), 7-23. Springer |
| ISSN: |
0257-0130 |
| Popis: |
In this paper, we study a functional equation for generating functions of the form $$f(z) = g(z) \sum _{i=1}^M p_i f(\alpha _i(z)) + K(z)$$ f ( z ) = g ( z ) ∑ i = 1 M p i f ( α i ( z ) ) + K ( z ) , viz. a recursion with multiple recursive terms. We derive and analyze the solution of this equation for the case that the $$\alpha _i(z)$$ α i ( z ) are commutative contraction mappings. The results are applied to a wide range of queueing, autoregressive and branching processes. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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