33 citations · 73 across the 23 of their papers we have counts for
4 papers · 2 filters
Heavy traffic approximation for the stationary distribution of a generalized Jackson network: the BAR approach
Anton Braverman, J. G. Dai, Masakiyo Miyazawa
In the seminal paper of Gamarnik and Zeevi (2006), the authors justify the steady-state diffusion approximation of a generalized Jackson network (GJN) in heavy traffic. Their appro…
A unified approach for large queue asymptotics in a heterogeneous multiserver queue
Masakiyo Miyazawa
We are interested in a large queue in a queue with heterogeneous servers. For this, we consider tail asymptotics and weak limit approximations for the stationary distribut…
Diffusion approximation for stationary analysis of queues and their networks: A review
Masakiyo Miyazawa
Diffusion processes have been widely used for approximations in the queueing theory. There are different types of diffusion approximations. Among them, we are interested in those o…
A superharmonic vector for a nonnegative matrix with QBD block structure and its application to a Markov modulated two dimensional reflecting process
Masakiyo Miyazawa
Markov modulation is versatile in generalization for making a simple stochastic model which is often analytically tractable to be more flexible in application. In this spirit, we m…