2 papers
math.PR2023
The Maximum Overlap Time in the M/M/1 Queue
Sergio Palomo, Jamol Pender
In this paper, we analyze the steady state maximum overlap time in the M/M/1 queue. We derive the maximum overlap time tail distribution, its moments and the moment generating func…
math.PR2023
Overlap Times in the Queue
Sergio D Palomo, Jamol Pender
Overlap times have been studied as a way of understanding the time of interaction between customers in a service facility. Most of the previous analysis relies on the single jump a…