Introduction to queueing networks
Introduction to queueing networks
G-networks with multiple classes of negative and positive customers
Theoretical Computer Science
Open, Closed, and Mixed Networks of Queues with Different Classes of Customers
Journal of the ACM (JACM)
Performance Evaluation
G-Networks: Development of the Theory of Multiplicative Networks
Automation and Remote Control
Decomposition of Queueing Networks with Dependent Service and Negative Customers
Automation and Remote Control
An initiative for a classified bibliography on G-networks
Performance Evaluation
Bibliography on G-networks, negative customers and applications
Mathematical and Computer Modelling: An International Journal
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The open exponential queuing network with negative customers (G-network) was considered.For each arriving customer, given was a set of its random parameters such as the route defining the sequence of network nodes passed by the customer, route length, size, and servicing duration at each stage of the route. It was assumed that the negative customer arriving to the sth node with the probabilities ωs and ωs+ either kills the positive customer in a randomly chosen server or does not affect it at all and with the probability ωs– =1 – ωs – ωs+ transforms it into a negative customer which after an exponentially distributed time arrives to the s′th node with the given probability. The multidimensional stationary probability distribution of the network states was proved to be representable in the multiplicative form.