most citedExact Analysis of the Age of Information in the Multi-Source M/GI/1 Queueing System

1 citations · 1 across the 4 of their papers we have counts for

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5 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,…

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…

cs.NI2024★ 1 cited

Exact Analysis of the Age of Information in the Multi-Source M/GI/1 Queueing System

Yoshiaki Inoue, Tetsuya Takine

We consider a situation that multiple monitoring applications (each with a different sensor-monitor pair) compete for a common service resource such as a communication link. Each s…