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…
cs.PF2025
Effects of the Auto-Correlation of Delays on the Age of Information: A Gaussian Process Framework
Atsushi Inoie, Yoshiaki Inoue
The age of information (AoI) has been studied actively in recent years as a performance measure for systems that require real-time performance, such as remote monitoring systems vi…
math.PR2024
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…