2 papers
math.PR2020
Approximate Performance Measures for a Single Station Two-Stage Reneging Queue
Katsunobu Sasanuma, Alan Scheller-Wolf
We study a single station two-stage reneging queue with Poisson arrivals, exponential services, and two levels of exponential reneging behaviors, extending the popular Erlang A mod…
math.PR2019
Markov Chain Decomposition Based On Total Expectation Theorem
Katsunobu Sasanuma, Robert Hampshire, Alan Scheller-Wolf
A divide-and-conquer approach to analyzing Markov chains (MCs) is not utilized as widely as it could be, despite its potential benefits. One primary reason for this is the fact tha…