In this paper we generalize known workload decomposition results for Lévy queues with secondary jump inputs and queues with server vacations or service interruptions. Special cases are polling systems with either compound Poisson or more general Lévy inputs. Our main tools are new martingale results, which have been derived in a companion paper.
Bibliographical noteFunding Information:
Acknowledgments Offer Kella was Supported in part by Grant 1462/13 from the Israel Science Foundation, the Vigevani Chair in Statistics and visitor Grant No. 040.11.257 from The Netherlands Organisation for Scientific Research.
- Decomposition results
- Kella-Whitt martingale
- Lévy storage systems
- Lévy-type processes
- Queues with server vacations