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

Brian Fralix

Associate Professor
PhD in Operations Research from Georgia Institute of Technology, 2007
BS in Mathematical Sciences from Clemson University, 2002
Professional Research Interests
Applied Probability and Queueing Theory
Professional Memberships
INFORMS Applied Probability Society
Other Professional Activities
Serving on Technical Program Committee of ECQT 2018:
Selected Publications

Fralix, B.  On classes of Bitcoin-inspired infinite-server queueing systems.  Submitted for publication.

Liu, X. (Xiaoyuan) and Fralix, B.  On the time-dependent behavior of finite-state birth-death processes:  new insights on known results.  Submitted for publication.

Liu, X. (Xiaoyuan) and Fralix, B.  On lattice path counting and the random product representation, with applications to the E_{r}/M/1 queue, and the M/E_{r}/1 queue.  Methodology and Computing in Applied Probability, to appear.

Fralix, B.  On the time-dependent behavior of a Markovian reentrant-line model.  Probability in the Engineering and Informational Sciences 33 (2019), 367-386.

Fralix, B.  A new look at a smart polling model.  Mathematical Methods of Operations Research 88 (2018), 339-367.

Selen, J. and Fralix, B.  Time-dependent analysis of an M/M/c priority system with two priority classes.  Queueing Systems 87 (2017), 379-415.

Doroudi, S., Fralix, B., and Harchol-Balter, M.  Clearing Analysis on Phases:  exact limiting probabilities for skip-free, unidirectional, quasi-birth-death processes.  Stochastic Systems 6 (2016), 420-458.

Joyner, J. and Fralix, B.  A new look at Markov Processes of G/M/1-type.  Stochastic Models 32 (2016), 253-274.

Buckingham, P., Fralix, B., and Kella, O.  A Note on Integral Representations of the Skorokhod Map.  Journal of Applied Probability 53 (2016), 293-298.

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.

Joyner, J. and Fralix, B.  A new look at block-structured Markov Processes.  Currently Under Revision.

Copies of articles submitted for publication can be found on my personal webpage.


Recent Classes Taught
MATH 2060 Calculus of Several Variables (Fall 2011, Spring 2012, Fall 2012, Spring 2013, Fall 2013, Fall 2014)
MATH 2080 Introduction to Ordinary Differential Equations (Spring 2017)
MATH 3110 Linear Algebra (Spring 2016)
MATH 4000 Theory of Probability (Fall 2009, Spring 2010, Fall 2018, Spring 2019, Fall 2019)
MATH 4410/6410 Introduction to Stochastic Models (Spring 2011, Spring 2013, Spring 2014, Fall 2014, Spring 2016, Fall 2016, Fall 2017, Spring 2018)
MATH 8030 Stochastic Processes I (Spring 2010, Spring 2011, Spring 2015)
MATH 8170 Stochastic Processes II (Fall 2010, Fall 2011, Fall 2012, Fall 2015, Fall 2017, Fall 2019)
MATH 8180 Special Topics in Stochastic OR (Spring 2015, Spring 2018)
MATH 9010 Probability Theory I (Fall 2016, Fall 2018)
MATH 9020 Probability Theory II (Spring 2012, Spring 2014, Spring 2017, Spring 2019)
Last Updated: 5/10/19