Analytical explicit solution of the moments of the overflow queue. II. (English) Zbl 0684.60075
Summary: [Part I appeared in Proc. 1st orma Conf., Mil. Tech. Coll. Egypt, 225-262 (1984)]
The aim of this paper is to treat an analytical explicit solution of the moments of the overflow queue from a truncated Markovian queue: M/M/c/k. The researchers gave an explicit solution for \(M_{(1)},M_{(2)}\), and \(M_{(\ell)}\), then they deduce some particular cases for both \(c=1,2\) and different values of k. Also they construct two tables and draw three graphs for \(M_{(1)}\).
The aim of this paper is to treat an analytical explicit solution of the moments of the overflow queue from a truncated Markovian queue: M/M/c/k. The researchers gave an explicit solution for \(M_{(1)},M_{(2)}\), and \(M_{(\ell)}\), then they deduce some particular cases for both \(c=1,2\) and different values of k. Also they construct two tables and draw three graphs for \(M_{(1)}\).
MSC:
| 60K25 | Queueing theory (aspects of probability theory) |
| 90B22 | Queues and service in operations research |
