Yoshiaki Inoue

collaborators

Showing math.PRShow all

2 papers · 1 filter

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 $K$ customers joining the system in a finite time interval $[0, T]$ . A key quantity of i…

math.PR2026

Time-dependent queue length distribution in queues fed by $K$ 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 $K$ customers arrive i…

Computing transient probabilities in Markovian queues with balking conditional on a fixed number of joined customers

Time-dependent queue length distribution in queues fed by K customers in a finite interval

Time-dependent queue length distribution in queues fed by $K$ customers in a finite interval