G-Networks: Development of the Theory of Multiplicative Networks
Automation and Remote Control
A queueing system with negative claims and a bunker for superseded claims in discrete time
Automation and Remote Control
An initiative for a classified bibliography on G-networks
Performance Evaluation
Automation and Remote Control
Bibliography on G-networks, negative customers and applications
Mathematical and Computer Modelling: An International Journal
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Consideration was given to the queuing system with Poisson flows of incoming positive and negative customers. For the positive customers, there is an infinite-capacity buffer. The arriving negative customer knocks out a positive customer queued in the buffer and moves it to an infinite-capacity buffer of ousted customers (bunker). If the buffer is empty, then the negative customer discharges the system without affecting it. After servicing the current customer, the server receives a customer from the buffer or, if the buffer is empty, the bunker. The customers arriving from both the buffer and bunker are distributed exponentially with the same parameter. Relations for calculation of the stationary distributions of the queues in the buffer and bunker were obtained.