1 citations · 1 across the 4 of their papers we have counts for
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Computing transient probabilities in Markovian queues with balking conditional on a fixed number of joined customers
Kaito Hayashi, Yoshiaki Inoue, Tetsuya Takine
We analyze the transient behavior of a Markovian queue with balking, conditional on exactly customers joining the system in a finite time interval . A key quantity of i…
Mean Waiting Times in Discrete-Time Priority Queues with Geometrically Distributed Idle Periods
Tetsuya Takine
This paper considers the mean waiting times in discrete-time preemptive-resume and nonpreemptive priority single-server queues fed by K independent batch Markovian arrival streams…
The Gated-Service M/GI/1 Queue with Single Vacations and Its Application to Batch-Service Queues
Tetsuya Takine
In this paper, we consider the M/GI/1 queue with single vacations under the gated service discipline. We obtain the probability generating function of the stationary queue length,…
Time-dependent queue length distribution in queues fed by customers in a finite interval
Kaito Hayashi, Yoshiaki Inoue, Tetsuya Takine
We consider queueing models, where customers arrive according to a continuous-time binomial process on a finite interval. In this arrival process, a total of customers arrive i…