Samenvatting
In this paper, we analyze a polling system on a circle. Random batches of customers arrive at a circle, where each customer, independently, obtains a location that is uniformly distributed on the circle. A single server cyclically traverses the circle to serve all customers. Using mean value analysis, we derive the expected number of waiting customers within a given distance of the server. We exploit this to obtain closed-form expressions for both the mean batch sojourn time and the mean time to delivery.
| Originele taal-2 | Engels |
|---|---|
| Pagina's (van-tot) | 217-242 |
| Aantal pagina's | 26 |
| Tijdschrift | Probability in the Engineering and Informational Sciences |
| Volume | 39 |
| Nummer van het tijdschrift | 2 |
| DOI's | |
| Status | Gepubliceerd - apr. 2025 |
Bibliografische nota
Publisher Copyright:© The Author(s), 2024. Published by Cambridge University Press.
Financiering
The research of Tim Engels and Onno Boxma was partly funded by the NWO Gravitation project NETWORKS, grant number 024.002.003.
| Financiers | Financiernummer |
|---|---|
| Nederlandse Organisatie voor Wetenschappelijk Onderzoek | 024.002.003 |