Two parallel queues created by arrivals with two demands. II. (English) Zbl 0579.90033

Flatto, Leopold

SIAM J. Appl. Math. 45, 861-878 (1985).

In part I of this paper [see the author and S. Hahn, ibid. 44, 1041-1053 (1984; Zbl 0554.90041)] the author considered the two- dimensional queue length process that arises when each arrival at a queueing system places two demands handled independently by two servers. In this paper the author investigates the asymptotic behaviour of the state probabilities of this process assumed to be in equilibrium.

Reviewer: N.U.Prabhu

MSC:

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

Keywords:

two-dimensional queue length process; asymptotic behaviour; state probabilities