activity
20112023
most citedForward and Reverse Parking in a Parking Lot

1 citations · 2 across the 8 of their papers we have counts for

collaborators

9 papers

math.PR2023

A queueing model with servers disguised as customers

Janhavi Prabhu, Myron Hlynka

We propose a new queueing model, motivated by the phenomenon of pseudoprogression in cancer, in which the length of a queue appears to increase initially, before reducing to a stea…

math.PR2021

Laplace Transforms of Improper Random Variables

Janhavi Prabhu, Myron Hlynka

The probabilistic interpretation of Laplace transforms is used to help to describe the Laplace Transform of improper random variables. In particular, busy periods in queuein…

physics.soc-ph2019★ 1 cited

Forward and Reverse Parking in a Parking Lot

Kexin Xie, Myron Hlynka

The choice of forward and reverse parking in a parking lot is studied as a stochastic process. An queueing system is used as an initial framework. We use Monte Carlo simu…

math.PR2019

Collective marks and first passage times

Yiping ZHANG, Myron HLYNKA, Percy H. BRILL

Probability generating functions for first passage times of Markov chains are found using the method of collective marks. A system of equations is found which can be used to obtain…

math.PR2018★ 1 cited

A Queueing Model for Sleep as a Vacation

Nian Liu, Myron Hlynka

Vacation queueing systems are widely used as an extension of the classical queueing theory. We consider both working vacations and regular vacations in this paper, and compare syst…

stat.ME2018

Scheduling a Rescue

Nian Liu, Myron Hlynka

Scheduling service order, in a very specific queueing/inventory model with perishable inventory, is considered. Different strategies are discusses and results are applied to the tr…