Introduction to queueing networks
Introduction to queueing networks
Strong approximations for time-dependent queues
Mathematics of Operations Research
A multiclass station with Markovian feedback in heavy traffic
Mathematics of Operations Research
Diffusion Approximations for Some Multiclass Queueing Networks with FIFO Service Disciplines
Mathematics of Operations Research
Queueing Systems: Theory and Applications
State space collapse with application to heavy traffic limits for multiclass queueing networks
Queueing Systems: Theory and Applications
Strong approximations for Markovian service networks
Queueing Systems: Theory and Applications
A heavy traffic limit theorem for a class of open queueing networks with finite buffers
Queueing Systems: Theory and Applications
Analysis of Markov Multiserver Retrial Queues with Negative Arrivals
Queueing Systems: Theory and Applications
Averaging methods for transient regimes in overloading retrial queueing systems
Mathematical and Computer Modelling: An International Journal
Network performance engineering
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The asymptotic behavior of a queueing process in overloaded state-dependent queueing models (systems and networks) of a switching structure is investigated. A new approach to study fluid and diffusion approximation type theorems (without reflection) in transient and quasi-stationary regimes is suggested. The approach is based on functional limit theorems of averaging principle and diffusion approximation types for so-called Switching processes. Some classes of state-dependent Markov and non-Markov overloaded queueing systems and networks with different types of calls, batch arrival and service, unreliable servers, networks (MSM,Q/MSM,Q/1/∞)r switched by a semi-Markov environment and state-dependent polling systems are considered.