The relation between limiting queue size distributions at arrival and departure epochs in a bulk queue

Arrival and departure state distribution

Arrival and departure state distributions in the general bulk-service queue

✍ Gérard Hébuterne; Catherine Rosenberg 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 69 KB

In this paper, we give an explicit relation between steady-state probability distributions of the buffer occupancy at customer entrance and departure epochs, for the classical single-server system G/G [N] /1 with batch services and for the finite capacity case. The method relies on level-crossing ar