Two parallel queues created by arrivals with two demands. I. (English) Zbl 0554.90041

Flatto, L.; Hahn, S.

SIAM J. Appl. Math. 44, 1041-1053 (1984).

At a queueing system customers arrive in a Poisson process at a unit rate. Each customer places two demands, which are handled independently by two servers, the service times having exponential densities with parameters \(\alpha\), \(\beta\), where \(1<\alpha \leq \beta\). The authors investigate the equilibrium probability of the numbers of demands of the two types waiting or being served.

Reviewer: N.U.Prabhu

MSC:

90B22	Queues and service in operations research
60K25	Queueing theory (aspects of probability theory)

Keywords:

queueing system; Poisson process; equilibrium probability