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math.PR2023
Increasing Gambler's Ruin duration and Brownian Motion exit times
Steven Evans, Erol A. Peköz, Rhonda Righter
In Gambler's Ruin when both players start with the same amount of money, we show the playing time stochastically increases when the games are made more fair. We give two different…
math.PR2018
FCFS Parallel Service Systems and Matching Models
Ivo Adan, Igor Kleiner, Rhonda Righter +1
We consider three parallel service models in which customers of several types are served by several types of servers subject to a bipartite compatibility graph, and the service pol…
math.PR2004
The effect of service time variability on maximum queue lengths in M^X/G/1 queues
Ger Koole, Misja Nuyens, Rhonda Righter
We study the impact of service-time distributions on the distribution of the maximum queue length during a busy period for the M^X/G/1 queue. The maximum queue length is an importa…