Office: Martin O-310
Phone: (864) 656-5197
Fax: (864) 656-5230

Brian Fralix

Assistant Professor
PhD in Operations Research from Georgia Institute of Technology, 2007
BS in Mathematical Sciences from Clemson University, 2002
Professional Research Interests

Applied Probability:  Random walks, Levy processes, Markov processes, Point processes and Palm measures
Queueing Theory:  Time-dependent behavior of queues, pathwise approximations of queueing processes

Professional Memberships
INFORMS Applied Probability Society
Selected Publications

Doroudi, S., Fralix, B., and Harchol-Balter, M.  Clearing Analysis on Phases:  exact limiting probabilities for skip-free, unidirectional, quasi-birth-death processes.  Submitted.

Joyner, J. and Fralix, B.  A new look at Markov Processes of G/M/1-type.  Stochastic Models, to appear.

Buckingham, P., Fralix, B., and Kella, O.  A Note on Integral Representations of the Skorokhod Map.  Journal of Applied Probability, to appear.

Fralix, B.  When are two Markov chains similar?  Statistics and Probability Letters 107 (2015), 199-203.

Buckingham, P. and Fralix, B.  Some new insights into Kolmogorov's criterion, with applications to hysteretic queues.  Markov Processes and Related Fields 21 (2015), 339-368.

Copies of articles submitted for publication can be found at


Recent Classes Taught
MATH 2060 Calculus of Several Variables (Fall 2011, Spring 2012, Fall 2012, Spring 2013, Fall 2013, Fall 2014)
MATH 3110 Linear Algebra (Spring 2016)
MATH 4000 Theory of Probability (Fall 2009, Spring 2010)
MATH 4410/6410 Introduction to Stochastic Models (Spring 2011, Spring 2013, Spring 2014, Fall 2014, Spring 2016)
MATH 8030 Stochastic Processes I (Spring 2010, Spring 2011, Spring 2015)
MATH 8170 Stochastic Processes II (Fall 2010, Fall 2011, Fall 2012, Fall 2015)
MATH 8180 Special Topics in Stochastic OR (Spring 2015)
MATH 9020 Probability Theory II (Spring 2012, Spring 2014)
Last Updated: 1/6/16