Fundamentals of queueing theory (2nd ed.).
Fundamentals of queueing theory (2nd ed.).
Systems in stochastic equilibrium
Systems in stochastic equilibrium
Closed queueing networks with batch services
Queueing Systems: Theory and Applications
Product form in networks of queues with batch arrivals and batch services
Queueing Systems: Theory and Applications
Markovian network processes: congestion-dependent routing and processing
Proceedings of the workshop held at the Mathematical Sciences Institute Cornell University on Mathematical theory of queueing systems
Optimal Routing Parameters for Queueing Networks: Their Determination Methods
Automation and Remote Control
Traffic Flows and Product Form Solutions in Stochastic Transfer Networks
Queueing Systems: Theory and Applications
State-Dependent Coupling in General Networks
Queueing Systems: Theory and Applications
Arrival first queueing networks with applications in kanban production systems
Performance Evaluation
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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We consider characterizations of departure functions in Markovian queueing networks with batch movements and state-dependent routing in discrete-time and in continuous-time. For this purpose, the notion of structure-reversibility is introduced, which means that the time-reversed dynamics of a queueing network corresponds with the same type of queueing network. The notion is useful to derive a traffic equation. We also introduce a multi-source model, which means that there are different types of outside sources, to capture a wider range of applications. Characterizations of the departure functions are obtained for any routing mechanism of customers satisfying a recurrent condition. These results give a unified view to queueing network models with linear traffic equations. Furthermore, they enable us to consider new examples as well as show limited usages of this kind of queueing networks.