CV of Dr. Myron Hlynka
Rank: PROFESSOR
Department of MATHEMATICS & STATISTICS
University of Windsor
Windsor, Ontario, Canada N9B 3P4
Phone: 5192533000( extension 3014)
Email: hlynka@uwindsor.ca
Web: web2.uwindsor.ca/math/hlynka.html
B.Sc.(Hons) (Math) University of Manitoba 1970.
M.A. (Math) Pennsylvania State University 1975.
Ph.D. (Statistics) Pennsylvania State University 1985.
TEACHING:
Summer 2008 0365554 (Sampling Theory: Reading Course)
Summer 2008: 036249802 (Mathematical Problem Solving: Reading Course)
Winter 2008: 036249825 (History of Mathematics: Reading Course)
Winter 2008: 0362120/26 (Linear Algebra)
Winter 2008: 0362392 (Theory of Interest)
Fall 2007: 0365376 (Stochastic Operational Research)
Fall 2007: 0365340 (Applied Probability)
Other courses taught at the University of Windsor, dating from 1986, are
0365251(Mathematical Statistics), 0365455/541(Stochastic Processes),
0365544 (Multivariate Analysis: reading course),
0365350 (Probability),
0365351 (Statistics),
0365548 (Nonparametric Statistics),
0365253 (Statistics for the Sciences),
0365455 (Topics in Statistics: reading),
0365456 (Regression),
Professional Accreditation and Memberships:
Research Interests
Research interests: queueing theory, control of
queueing systems, parallel queues, queue joining strategies,
queueing applications in health (cholesterol,
attentiondeficit/hyperactivity disorder), queueing applications
in sports (when to remove a goalie in a hockey game),
double ended queues, queueing applications in telecommunications,
queueing applications in health services, inventory theory,
robustness, random truncation, "secretary problem"
Graduate Students Supervised
 Andrew LUONG, M.Sc.(Statistics), University of Alberta, 1983
Master's Paper: Some Results in Reliability Using DeathImmigration
and Renewal Processes
 WaiHang POON, M.Sc.(Computer Science),
University of Windsor, 1991, cosupervised with Dr. Henry Toews
Master's Thesis: Dynamic Scheduling Strategies for Pseudo Parallel
Queues: Observing Queues Before Joining
 Richard SCHELL, M.Sc. (Statistics),
University of Windsor, 1994
Master's Paper: A Queueing Model for Cholesterol
(University of Windsor Gold Medalist  October, 1995)
 Steve DREKIC, M.Sc. (Statistics), University of Windsor, 1995
Master's Paper: Conditional Maximum Distributions and Random
Truncation
Currently a professor in the Dept of Statistics and Actuarial Sciences at
the University of Waterloo.
 Kirk ROY, M.Sc. (Statistics), University of Windsor, 1997.
Master's Thesis: A Probabilistic Interpretation of Laplace
Transforms
 cosupervised with Dr. Richard Caron
http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp01/MQ31000.pdf
 Mathew CHANDLER,
M.Sc. (Statistics), University of Windsor, 1997.
Master's Thesis: A Situational Analysis of the Sacrifice Bunt
in Baseball
http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp01/MQ30937.pdf
 Luat BUI,
M.Sc. (Mathematics), University of Windsor, 1997.
Master's Thesis: New Results in Partition Theory
http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp01/MQ30935.pdf
 Todd BRAITHWAITE,
M.Sc. (Statistics), University of Windsor, 1997.
Master's Thesis: A Two Dimensional Bin Packing Algorithm.
 cosupervised with Dr. Richard Caron
http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp01/MQ30932.pdf
 Wayne HORN, M.Sc. (Statistics), 1999.
Master's Thesis: Laplace Transforms of Order Statistics of Erlang
Random Variables
 cosupervised with Dr. Percy Brill.
http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape10/PQDD_0014/MQ52571.pdf
 Yingchun LUO (Statistics). M.Sc. (Statistics), 2000.
Master's Major Paper: A Doubly Stochastic Inventory Model.
 Matthew HAEHNEL. M.Sc. (Math), 2001.
Master's Major Paper: A Modified Runs Test and the Stock Market.
 Bashar ZOGHEIB. M.Sc. (Stat), 2002.
Master's Major Paper: SAS and Approximations to the Standard Normal
Cumulative Distribution Function.
 Yong Xiang WU. M.Sc. (Stat), 2003.
Master's Major Paper: M/M/c/c Queueing Systems and Parking Lots.
 Huiling XIONG. M.Sc. (Stat), 2003.
Master's Major Paper: Inequalities for a Parking Lot Queueing Model.
 Yi Bei ZHANG. M.Sc. (Stat), 2004. (cosupervised with T. Traynor)
Master's Major Paper: Convergence and Stochastic Stability of One Step
Methods for Stochastic Differential Delay Equations.
 Wen MIN. M.Sc. (Stat), 2005.
Master's Major Paper: Exploratory Statistical Study of EBay Textbook
Auctions.
 Xiaoyong WU. Ph.D. (Stat), 2005. (cosupervised with P. Brill)
Some Retrial Queueing Models.
 Jing TANG. M. Sc. (Stat.) 2005. Control of Queues with Unknown
Completion Time.
 Chinthanie RAMASUNDARAHETTIGE. M.Sc. (Stat). A Comparison of
Several Queueing Software Packages. 2006.
 Dongfang CHANG. M.Sc. (Stat.) Queues which Form Prior to
Opening of Service Facility. 2006.
 Tolulope SAJOBI. M.Sc. (Stat.) Thesis. Markov Transition Matrices and
Fibonacci Numbers (126 pp.) 2008.
 Qianying WU. M.Sc. (Stat.) Major Paper: First
Passage Distributions. 2008.
 Name withheld. M.Sc. (Stat.) Major Paper: Markov Applications to
Medical Conditions. A Survey. 2009.
 Rifat JAHAN. M.Sc. (Stat.) Major Paper: Control of Queues by
Laplace Transform. 2009. (paper completed, courses in progress)
 Qian Jiang. M.Sc. (Stat.) Major Paper: Constructing
Transition Matrices of Reversible Markov Chains. 2009. (paper completed,
courses in progress)
Undergraduate NSERC Summer Award Students Supervised
 Waihang POON, 1989
 Karen LUCIER Hill, 1990
 Nicole LEMIRE, 1990, cosupervised with Dr. R. Caron
 Kar WONG, 1992
 Steve DREKIC, 1993
 Kirk ROY, 1995, cosupervised with Dr. R. Caron
 Jon CASEY, 2002.
 Deborah LOACH, 2005, cosupervised with Dr. R. Caron
 Laura HURAJT, 2006.
 Anna CYLWA, 2007.
 Michelle CYLWA, 2008.
Refereed Publications:
 Hlynka, M. and Sheahan, J., 1986, Optimal Control
Relating to the Excess of one Poisson Process over Another,
Utilitas Mathematica, pp. 217230.
 Hlynka, M. and Sheahan, J., 1987, Controlling Rates
for a Double Queue, Naval Logistics Research Quarterly, V.
34, pp. 569577.
 Hlynka, M. and Sheahan, J., 1988, The Secretary
Problem for a Random Walk, Stochastic Applications and Their
Applications, V. 28, pp. 317325.
 Hlynka, M., Sheahan, J. and Wiens, D.P, 1990, On the
Choice of Support of ReDescending PsiFunctions in Linear
Models with Asymmetric Error Distributions, Metrika, V. 37,
pp. 365381.
 Caron, R.J., Hlynka, M. and McDonald, J.F., 1992, On
the Best Case Performance of Hit and Run Methods for
Detecting Necessary Constraints, Mathematical Programming V.
54. pp. 233249.
 Khasnabish, B., Ahmadi, M., Hlynka, M. and Shridhar,
M., 1993, Trading Nodal Storage Capacity with Incremental
Transmission Capacity IEEE Transactions on Communications.
Vol. 41, pp. 11471150.
 Khasnabish, B., Ahmadi, M., Hlynka, M. and Shridhar,
M., 1993, Trading Nodal Storage Capacity with Incremental
Transmission Capacity in Suprahighspeed Packetswitching
Nets, Canadian Journal of Electrical and Computer
Engineering, Vol. 18, pp. 7180.
 Hlynka, M. and Wang, T., 1993. Comments on Duality
of Queues with Finite Buffer Size, Operations Research
Letters, V. 14, pp. 2933.
 Hlynka, M., Stanford, D., Poon, W. and Wang, T.,
1994. Observing Queues before Joining, Operations Research,
V. 42, pp. 365342.
 Khasnabish, B., Ahmadi, M., Hlynka, M., and Shridhar, M.
1994. Design and Evaluation of a Smart Congestion Level Indicator
for a Large Group of Queues in ATM Networks, Proceedings of 1994
IEEE GLOBECOM, (refereed) V. 1, pp. 156161.
 Stanford, D. and Hlynka, M., 1996. Observing
General Service Queues Before Joining, Operations Research
Letters, V. 18, pp. 237245.
 M. Hlynka, S. Drekic and G. McPhail, 1997, A Non
Monotone Waiting Time Queueing Model,
Utilitas Mathematica, 52, 8389.
 P.H. Brill and M. Hlynka, 1998, A Single Server NLine
Queue in which a Customer May Receive Special Treatment,
Stochastic Models. 14, 905931.
 P.H. Brill and M. Hlynka, 2000. "An Exponential Queue with Competition
for Service," European Journal Of Operational Research (126)3 (2000) pp.
587602.
 J.C. Fedoruk, D. Paterson, M. Hlynka, K.Y. Fung, M. Gobet, W. Currie,
2002. "Rapid OnSite Defibrillation versus Community Program." Prehospital
and Disaster Medicine, pp. 102106. (In addition the abstract to
"Rapid Defibrillation: A Comparison of Prehospital cardia Arrest
Victim Survival Rates" appears in Prehospital and Disaster Medicine,
2001; 16(2): s27.)
 M. Hlynka and L. Mandziuk. 2002. A Queueing Model for Attention
Deficit / Hyperactivity Disorder. Proceedings
of SCI 2002, The 6th World MultiConference on SYSTEMICS, CYBERNETICS AND
INFORMATICS. Orlando, Florida. July 1416, 2002, Volume IV, 243248. For a
pdf version click
HERE.
 P. Brill and M. Hlynka, 2002. A Geometric Interpretation of 2x2
Markov
Transition Matrices. Missouri Journal of Mathematical Sciences. Volume 14,
2002. 159174.
http://www.mathcs.cmsu.edu/~mjms/current.html
 M. Mandelbaum and M. Hlynka, 2003. Job Sequencing Using An
Expert. International Journal of Production Economics, 85, 389401.

M. Hlynka and M. Mandelbaum, 2003. Improving Computer Processing
Efficiency by Sequencing. Chapter 33, of monograph High Performance Computing
Systems and Applications, Kluwer Publishers, edited by Robert Kent and
Todd Sands, pp. 313327. Proceedings of the 2001 15th Annual Symposium on High Performance
Computing Systems and Applications.
 X. Wu, M. Hlynka, P. Brill, J. Wang. 2005. "An M/G/1 Retrial Queue
with Balking and Retrials during Service." IJOR (International
Journal of Operational Research), V. 1, 3051.
 M. Mandelbaum, M. Hlynka, P. Brill. 2007. "Nonhomogeneous
Geometric Distributions with
Relations to Birth and Death Processes."
TOP (Journal of the Spanish Society of Statistics and Operations
Research). Volume 15, pp. 281296.
 M. Hlynka and T. Sajobi. 2008.
A Markov Chain Fibonacci Model.
Missouri Journal of Mathematical Sciences. Volume 20, pp. 186199.
 M. Hlynka, W. Horn, R. Schell. 2008.
Branching Processes with a Common Extinction Probability
International Journal of Pure and Applied Mathematics.
Volume 45. No. 2, pp. 175185.
 C.K. Cavas, L.Cavas, M.B. Yokes, M. Hlynka, R. Schell, K.
Yurdakoc.
A Novel Application of Queueing Theory on the Caulerpenyne Secreted by
Invasive Caulerpa taxifolia (Vahl) C.Agardh (Ulvophyceae, Caulerpales):
A Preliminary Study.
Journal of Mediterranean Marine Science. VOLUME 9, NUMBER 1,
JUNE 2008. pp. 6775.
 M. Mandelbaum and M. Hlynka. 2008. Examples of Applications of Queueing Theory in Canada.
INFOR. Volume 46, pp. 2946.
 M. Hlynka, L.M. Hurajt, and M. Cylwa. 2009. Transient Results for M/M/1/c queues via path counting.
International Journal of Mathematics in Operational Research. Volume 1. pp. 2036.
 P. Brill, M.L. Huang, M. Hlynka. 2009. Note on an
Inventory System with Decay.
IAENG International Journal of Applied Mathematics.
Volume 39 Issue 3, 171174.
http://www.iaeng.org/IJAM/issues_v39/issue_3/IJAM_39_3_05.pdf
List of Technical Reports:
 Hlynka, M. and Sheahan, J., 1987, Optimal strategies
and Poisson Distribution, Technical Report, 4 pp.
 Caron, R.J., Hlynka, M., and McDonald, J.F., 1988,
Minimizing the Expected Number of Trials in the Coupon
Collector's Problem, Windsor Mathematics Report 8803,
5 pp.
 Hlynka, M., 1988, Perishable Inventory Units with an
Assignment Time, Windsor Mathematics Report #8806,
(Technical Report), 46 pp.
 Hlynka, M. 1988 A Discrete Analog to the Method of
Stages, Windsor Mathematics Report #8811, 17 pp.
 Hlynka, M., Sheahan, J.N., and Wiens,D.P, 1989, On
Deleting Influential Responses Under a Model of Asymmetric
Errors in Regression, University of Alberta Technical Report
#8925, 6 pp.
 Hlynka, M. and Poon, W.H., 1989, A Computer Program
for Parallel Queues, Windsor Mathematics Report #8911
(Technical Report) 18 pp.
 Hlynka, M. and Poon, W.H., 1989, Properties of the
Steady State Probabilities of Two Parallel Queues, Windsor
Mathematics Report #8912, (revised July, 1990), 14 pp.
 M. Hlynka and Wang, T., 1990, Comments on Duality of
Queues with Finite Buffer Size, Windsor Mathematics Report
#9004, 14 pp.
 Wang, T. and Hlynka, M., 1990, Two Parallel Queues
with Partial Jockeying, Windsor Mathematics Report, #9006,
15 pp.
 Hlynka, M., Poon, W.H., and Wang, T., 1990,
Observing Queues before Joining, Windsor Mathematics Report
#9007, 24 pp.
 A.Atmani, R.Caron, M. Hlynka, R.Lashkari, and N.
Lemire, 1992, School Bus Scheduling, A Preliminary Report.
Windsor Mathematics Report #9204, 61 pp.
 M. Hlynka and C.K. Wong, 1993, An Improved Queue
Joining Strategy, Windsor Mathematics Report #9301, 10 pp.
 S.V. Majety, M. Hlynka, and R.S. Lashkari, 1993,
Determining the Number of AGV's in Assembly Line Processes.
 P.H. Brill and M. Hlynka, 1993, The "Who's Next"
Queue with Two Lines, Windsor Mathematics Report, 9308, 21
pp.
 D.A. Stanford and M. Hlynka, 1993, Observing General
Service Queues Before Joining, 16 pp.
 P.H. Brill and M. Hlynka, 1994, A Single Server NLine
Queue in which a Customer May Receive Special Treatment,
Windsor Mathematics Report, 9403, 21 pp.
 M. Hlynka, S. Drekic and G. McPhail, 1994, A Non
Monotone Waiting Time Queueing Model, Windsor Mathematics
and Statistics Report 9405, 10 pp.
 L. Mandziuk and M. Hlynka, 1995, A Queueing Model for
AttentionDeficit / Hyperactivity Disorder, Windsor
Mathematics and Statistics Report 9502, 18 pp.
 M. Hlynka, 1995, Statistical Distributions Arising in
Perishable Inventory, Windsor Mathematics and Statistics
Report 9503, 12 pp.
 K. Roy and M. Hlynka, 1995, Queueing in APL, Windsor
Mathematics and Statistics Report 9504, 13 pp.
 J. Henderson and M. Hlynka, 1995, Risk Aversion and
the Selection of a Target for Quality, Windsor Mathematics and
Statistics Report 9505, 11 pp.,
 R.J. Caron, M. Hlynka, and K. Roy, 1995, Warranty
Expense Forecasting using Operations Research, Report to
Chrysler Canada Ltd., Windsor, Ontario. 22 pp. (Propietary)
 K. Roy and M. Hlynka, 1995, Queueing Theory Applied to a
Traffic Light Problem, Windsor Mathematics and
Statistics Report #9514, 18 pp.
 M. Hlynka, 1995, Book Review of "Weighted Approximations in
Probability and Statistics", by M. Csorgo and L. Lajos.
Interfaces, Sept.Oct., 1995, pp. 213214.
 P. Brill and M. Hlynka, 1997, "A Geometric Interpretation of
Markov Transition Matrices", Windsor Math and Statistics Report,
#9701, 10 pp.
 P. Brill and M. Hlynka, 1997, A Multiple Server "Who's
Next?" Queue, Windsor Math and Statistics Report, #9703, 14 pp.
 P. Brill and M. Hlynka, 1997, Companion Results to L = lambda W,
Windsor Math and Statistics Report, #9801, 6 pp.
 M. Hlynka, W. Horn, R. Schell, 1999. Branching Processes and
Fibonacci Numbers. Windsor Math and Statistics Report, #9902,
9 pp.
 K. Roy, M. Hlynka. and R. Caron, 1999. Laplace Transform for
the Busy Period of an M/G/1 System, Windsor Math and Statistics Report,
#9905, 7 pp.
 J. Casey and M. Hlynka. 2002. The Parrondo Paradox and Queueing.
Windsor Math and Statistics Report,
#0202, 13 pp.
 M. Hlynka and D. Loach. 2005. Generating Uniform Random Points in a
Regular $n$ Sided Polygon. WMSR #0502. 8 pp.
http://www2.uwindsor.ca/~hlynka/loachpolygon.pdf
 M. Hlynka. 2006. Introduction to the Statistical Language R.
WMSR #0604.
http://www2.uwindsor.ca/~hlynka/HlynkaIntroToR.pdf
 M. Mandelbaum, M. Hlynka and P.H. Brill, 2006. Nonhomogeneous
Geometric Distribution Representations and Queueing. WMSR #0603.
(accepted in TOP (Spanish Operational Research Society Journal)
 M. Hlynka and L.M. Hurajt. 2006. "M/M/1 Transient Queues and Path
Counting." WMSR #0605.
http://www2.uwindsor.ca/~hlynka/hlynkahurajt.pdf
 M. Hlynka and P.H. Brill. 2007. Stability in M/M/1 Queues with
Reneging.
WMSR #0709
 M. Hlynka and P.H. Brill. 2008. "A Result for a Counter Problem."
WMSR #0801.
Manuals
 M. Hlynka, Statistical Packages at the University of Alberta,
1983, 153 pp.
 M. Hlynka, A Brief Introduction to Queueing Theory, 1994,
61 pp.
Other Activities:
 Member of the organizational committee for the
ORSA/TIMS Annual Meeting in Detroit in October, 1994.
 Member of the organizational committee for the
Canadian Operations Research Society (CORS) National Convention
in Windsor in 1999.
 Member of the organizing committee for the 16th International
Workshop on Matrices and Statistics. 2007. Windsor, Ontario.
 Local organizer from the Putnam Mathematical Competition at the
University of Windsor since 1986. In the earlier years, this was done
jointly with Dr. Michael Selby. After Michael retired, this was done by
MH alone until 2006, when the Putnam was locally organized jointly by MH and
Dr. Wai Ling Yee.
 Local administrator of the SOA Actuarial Exams, since 2002.
 Arranged annual visits, since 1995, by Watson Wyatt Company personnel
to U of W to discuss actuarial careers.