33 citations · 73 across the 23 of their papers we have counts for
23 papers
Palm problems arising in BAR approach and its applications
Masakiyo Miyazawa
We consider Palm distributions arising in a Markov process with time homogeneous transitions which is jointly stationary with multiple point processes. Motivated by a BAR approach…
The BAR approach for multiclass queueing networks with SBP service policies
Anton Braverman, J. G. Dai, Masakiyo Miyazawa
The basic adjoint relationship (BAR) approach is an analysis technique based on the stationary equation of a Markov process. This approach was introduced to study heavy-traffic, st…
Stability of a cascade system with two stations and its extension for multiple stations
Masakiyo Miyazawa, Evsey Morozov
We consider a two station cascade system in which waiting or externally arriving customers at station move to the station if the queue size of station including a custo…
Markov modulated fluid network process: Tail asymptotics of the stationary distribution
Masakiyo Miyazawa
We consider a Markov modulated fluid network with a finite number of stations. We are interested in the tail asymptotics behavior of the stationary distribution of its buffer conte…
Tails in a fixed-point problem for a branching process with state-independent immigration
Sergey Foss, Masakiyo Miyazawa
We consider a fixed-point equation for a non-negative integer-valued random variable, that appears in branching processes with state-independent immigration. A similar equation app…
A martingale view of Blackwell's renewal theorem and its extensions to a general counting process
Daryl J. Daley, Masakiyo Miyazawa
Martingales constitute a basic tool in stochastic analysis; this paper considers their application to counting processes. We use this tool to revisit a renewal theorem and its exte…