3 papers
math.PR2026
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…
math.PR2026
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…
math.PR2026
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,…