Samenvatting
We consider a multivariate Lévy process where the first coordinate is a Lévy process with no negative jumps which is not a subordinator and the others are non-decreasing. We determine the Laplace-Stieltjes transform of the steady-state buffer content vector of an associated system of parallel queues. The special structure of this transform allows us to rewrite it as a product of joint Laplace-Stieltjes transforms. We are thus able to interpret the buffer content vector as a sum of independent random vectors.
| Originele taal-2 | Engels |
|---|---|
| Pagina's (van-tot) | 1222-1233 |
| Aantal pagina's | 12 |
| Tijdschrift | Journal of Applied Probability |
| Volume | 57 |
| Nummer van het tijdschrift | 4 |
| DOI's | |
| Status | Gepubliceerd - dec. 2020 |
Financiering
The authors thank Liron Ravner and Bert Zwart for interesting discussions. Offer Kella is supported in part by grant 1647/17 from the Israel Science Foundation and the Vigevani Chair in Statistics. Onno Boxma is partly funded by an NWO TOP grant, grant 613.001.352, and by the NWO Gravitation project NETWORKS, grant 024.002.003.