A two-fluid storage model with Lévy inputs and alternating outputs
| Autor: | D. G. Konstantinides, N. U. Prabhu |
|---|---|
| Rok vydání: | 2007 |
| Předmět: |
Mathematical analysis
Process (computing) Markov process Management Science and Operations Research Storage model Computer Science Applications symbols.namesake Distribution (mathematics) Computational Theory and Mathematics Control theory symbols Finite time Computer communication networks Unit (ring theory) Two fluid Mathematics |
| Zdroj: | Queueing Systems. 55:139-146 |
| ISSN: | 1572-9443 0257-0130 |
| DOI: | 10.1007/s11134-007-9013-1 |
| Popis: | In this paper we consider a storage model with two types of inputs and outputs that are subject to seasonal switching. Inputs are assumed to occur in a fluid fashion whereas outputs occur at a unit rate so long as the corresponding storage is non-empty. The distribution properties of the storage levels {Z 1(t),Z 2(t)} are derived at finite time as well as in stationary regime. We first investigate this process embedded at the successive switching points. This process is Markovian with independent components. In continuous time the components {Z 1(t),Z 2(t)} are also independent for each finite t, but are dependent in stationary regime. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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