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

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
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