Article ID: | iaor201111224 |
Volume: | 39 |
Issue: | 6 |
Start Page Number: | 401 |
End Page Number: | 405 |
Publication Date: | Nov 2011 |
Journal: | Operations Research Letters |
Authors: | Kosinski K M, Boxma O J, Kella O |
Keywords: | polling systems |
For a single‐server multi‐station polling system, we focus on the generating function and Laplace–Stieltjes transform of the time‐stationary joint queue length and workload distributions, respectively, under no further assumptions on the service discipline. We express these quantities as expressions involving the generating functions of the joint queue length distribution at visit beginnings and visit completions at the various stations. The latter is known for a broad variety of cases. Finally, we identify a workload decomposition result.