1 citations · 2 across the 8 of their papers we have counts for
6 papers · 1 filter
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…
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…
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…
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…
Reversibility Checking for Markov Chains
Q. Jiang, M. Hlynka, P. H. Brill +1
In this paper, we present reversibility preserving operations on Markov chain transition matrices. Simple row and column operations allow us to create new reversible transition mat…
Two Unordered Queues
Samantha Molinaro, Myron Hlynka, Shan Xu
A special customer must complete service from two servers in series, in either order, each with an M/M/1 queueing system. It is assumed that the two queueing system lengths are ind…