Home Page of Dr. Myron Hlynka,
Queueing Theorist
I have created a new web site "Queueing and COVID19" accessible at
http://web2.uwindsor.ca/math/hlynka/covid19.html
April 20, 2020. Corecipient of WESPARK Igniting Discovery COVID19 Rapid
Response
competition grant from WESPARK Health Institute (together with Edwin Tam
(lead) Anneke Smit, Tirupati Bolisetti, Mohamed Belalia)
Most recent update: April 2, 2021.
CanQueue 2017 Conference took place in
Windsor, Ontario!! August 1819, 2017.
Myron Hlynka's Queueing Theory
Page.
Coordinator, Master of Actuarial Science Program, University of Windsor.
Information on M.Act.Sc.
2020 MActSc Orientation Slides
"Web Resources for Actuarial Exam P" can be
found HERE(P).
"Web Resources for Actuarial Exam FM" can be found HERE(FM).
"Web Resources for Actuarial Exam IFM" can be found HERE(IFM).
"Web Resources for Actuarial Exam LTAM" can be found HERE(LTAM).
"Web Resources for Actuarial Exam STAM" can be found
HERE(STAM).
2020 Society of Actuaries Exam Dates
2019 Society of Actuaries Exam Dates
SOA Exam Approved Calculators.
For information on undergraduate courses at the University of Windsor that
help to
prepare for SOA Actuarial Exams, see
http://web2.uwindsor.ca/math/hlynka/actuarial.html
Math Institute Videos.
http://web2.uwindsor.ca/math/hlynka/mathinst.html
M. Hlynka timetable (SeptDec., 2019)
http://web2.uwindsor.ca/math/hlynka/F19TimetableHlynka.pdf
 To see Dr. Hlynka's Reasons for Selecting the
University of
Windsor to Study Undergraduate Mathematics and Statistics, click on
Choose U. of Windsor Math. & Stat.
 To see reasons to study actuarial science at the
University of
Windsor, see
http://web2.uwindsor.ca/math/hlynka/actuarial.html
Give an
example
of a word in the English language with five consecutive vowels.
The answer is QUEUEING!
(Please do NOT use the alternative spelling QUEUING.)
Q: If you had a preemptive priority system with seven low priority
customers in the system, and a high priority customer arrived and
bumped the low priority customer from service, what name (from a
Disney movie) would be appropriate to describe this situation?
A: No Wait and the Seven Dwarfs!
For more queueing levity, click HERE.
For other math humor, visit
Myron Hlynka's Math Jokes.
Dr. Myron Hlynka
Dept. of Math. & Stat.
University of Windsor
Windsor, Ontario, Canada N9B 3P4
Phone (519)2533000 Extension 3014
Fax: (519)9713649
email:
hlynka@uwindsor.ca
URL: http://web2.uwindsor.ca/math/hlynka/index.html
Office Address: 9114 Lambton Tower
For my photo, click
HERE.
For a CV, click on
M. Hlynka CV.
For Winter Term, 2021 (JanuaryApril, 2021)
I will be teaching Stat 2910 (Statistics for the Sciences) and
Stat 3960 (Stochastic Operational Research) and I am currently supervising
2 Master's degree students.
I am the academic coordinator of the M.ActSc program. I am also the
person in charge with
locally supervising the Soc. of Actuaries exams. I am working on various
research
projects and continue with my other regular administrative duties.
Professional Accreditation and Memberships:
P. Stat. (Professional Statistician).
Canadian Operations Research Society (CORS)
(This links to the CORS home page.)
Statistical Society of Canada (S.S.C.)
(This links to the SSC home page.)
INstitute For Operations Research and Management Sciences(INFORMS)
(This links to the INFORMS home page.)
American Statistical Association (A.S.A.)
(This links to the ASA home page.)
Mathematical Association of America (M.A.A.)
(This links to the MAA home page.)
Research Interests
My research interests in queueing theory include 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, reversible queues, queueing applications in
telecommunications, and queueing applications in health services.
I also have research interests in inventory theory,
robustness, random truncation, Markov Chain Monte Carlo methods,
preprocessing, and the "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
http://scholar.uwindsor.ca/etd/1798/
 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://scholar.uwindsor.ca/cgi/viewcontent.cgi?article=3847&context=etd
 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
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:
vv
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.
http://web2.uwindsor.ca/math/hlynka/jingtangmajorpaper.pdf
 Chinthanie RAMASUNDARAHETTIGE. M.Sc. (Stat). A Comparison of
Several Queueing Software Packages. 2006.
v
http://web2.uwindsor.ca/math/hlynka/ramamajorpaper.pdf
 Dongfang CHANG. M.Sc. (Stat.) 2006.
Major Paper:
Queues which Form Prior to Opening of Service Facility.
 Tolulope SAJOBI. M.Sc. (Stat.) 2008.
Thesis. Markov Transition Matrices and
Fibonacci Numbers (126 pp.)
(Vanier Scholarship Winner)
 Qianying WU. M.Sc. (Stat.) 2008.
Major Paper: Some
Properties of First Passage Distributions.
 Warkas Zaber. M.Sc. (Stat.) 2009.
Major Paper:
A Survey of Markov Applications to Medical
Conditions. 2009.
 Rifat JAHAN. M.Sc. (Stat.) 2009.
Major Paper:
Queueing Control and Laplace Transforms.
cosupervised with Percy Brill
 Shan XU. M.Sc. (Stat.) 2010.
Major Paper:
Some Results on Transient Queues.
 Qian JIANG. M.Sc. (Stat.) 2011.
Major Paper:
Construction of Transition Matrices for Reversible Markov Chains
 Mubeen HUSSAIN. M.Sc. (Stat.) 2011.
Major Paper:
Time to Ruin for Loss Reserves.
 Victoria CHERNOUKHOVA. M.Sc. (Stat). 20122013.
Major Paper:
Markov Chain Analysis for Vehicular LeftTurning
Lanes
 Qianqian WANG. M.Sc. (Stat), 20122013.
Major Paper:
Comments on Level Crossing Methods
cosupervised with Percy Brill

Bingsen YAN. M.Sc. (Stat), 20122014.
Major Paper:
Laplace Transforms of Busy Periods in Queues
 Zishan HUANG, M.Sc. (Stat), 20142015.
Major Paper:
Probabilistic Laplace Transform Inversion.
 Ziwen AN, M.Sc. student 201415. Major Paper: Reliability Results
using Probabilistic Interpretation of Laplace Transforms.
 Dongrui LU. M. Sc. student 20152016. Major Paper: A Queueing
Model with Interruptions.
 Chong LIU. M. Sc. student 20152016. Major Paper: The Coupon
Collecting Problem via Laplace Transforms.
 Xinwei LIU. M. Sc. student 20152016. Major Paper: Replacing
Human Service Queues by Kiosks.
 Chi Ho (Alex) CHEUNG, PhD student. 20112017.
cosupervised with Percy Brill
Analysis of Fluid Queues Using Level Crossing Methods
 Minjian YUAN, MSc. student 20162017.
Major Paper:
Two Strategies
for a Bus Queueing Model.
 Robert Aidoo, MSc. student 20162018.
Major Paper:
Queues With Server Utilization Of One.
 Yelyzaveta Chetina, MSc. student 20172018.
Major Paper:
Geometric Model of Roots of Stochastic Matrices.
cosupervised with Percy Brill
 Yiyan Ni, M.Sc. student 20172018.
cosupervised with Percy Brill.
Major Paper: Urn Models, Infinite Sums and Infinite Products
 Zhanxuan Ding, M.Sc. student 20172018.
cosupervised with Percy Brill
Level Crossing Simulation of a Queueing Model

Yiping ZHANG. M.Sc. student. 20182019.
cosupervised with Percy Brill
Extension of First Passage Probability.

Jarrett NANTAIS. M.Sc. student 20192020.
Major Paper: Task Interrupted by a Poisson Process.


Ranveer KAUR. M.Sc. student. 20192020.
Thesis: Probability Study of Medical Clinic Scheduling Procedures
Jointly supervised by M. Hlynka and P.H. Brill.

Xintong CHEN. M.Sc. student. 20192021.
Public Restrooms and Queueing.
Jointly supervised by M. Hlynka and P.H. Brill

Undergraduate NSERC/ MITACS 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.
http://web2.uwindsor.ca/math/hlynka/ijmor2009.pdf
 Anna CYLWA, 2007.
 Michelle CYLWA, 2008.
http://web2.uwindsor.ca/math/hlynka/ijmor2009.pdf
 Samantha MOLINARO, 2009.
http://www.ccsenet.org/journal/html/ijsp/articles/69772.html
 Sheng BI, 2015. (MITACS intern from Nanjing University, JulySept, 2015)
http://www.mhikari.com/ams/ams2016/ams142016/p/hlynkaAMS142016.pdf
 Nian LIU, 2018. (MITACS intern from Central South University
JulySept, 2018)
http://www.mhikari.com/ams/ams2018/ams25282018/p/hlynkaAMS25282018.pdf
 Kexin Xie, 2019. (Mitacs intern from Dalian University of Technology., JulySept, 2019)
http://www.mhikari.com/ams/ams2019/ams21242019/p/hlynkaAMS21242019.pdf
Refereed Publications:
 Hlynka, M. and Sheahan, J., 1986, Optimal Control
Relating to the Excess of one Poisson Process over Another,
Utilitas Mathematica, pp. 217230.
http://web2.uwindsor.ca/math/hlynka/utilitas217_230.PDF
 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 Processes 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.
http://www.jstor.org/action/showBasicSearch
 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.
http://web2.uwindsor.ca/math/hlynka/utilitas1997_8389.PDF
 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, V. 17:2, pp. 102106.
http://pdm.medicine.wisc.edu/172pdf/102106Fedoruk.pdf
 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.
http://web2.uwindsor.ca/math/hlynka/orlando.pdf
 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.ucmo.edu/~mjms/2002.3/brill.pdf
 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.
If your university has access to Springer publications, you can view a
copy at
http://www.springerlink.com/content/a6303772r58x0722/
 M. Hlynka and T. Sajobi. 2008. "A Markov Chain Fibonacci Model."
Missouri Journal of Mathematical Sciences.
Volume 20. No. 3. pp. 186199.
http://web2.uwindsor.ca/math/hlynka/hlynkasajobiams.pdf
 M. Hlynka, W. Horn, R.Schell. 2008.
Branching Processes with a Common Extinction Probability.
International Journal of Pure and Applied Mathematics. V. 45, No. 2,
175185.
http://web2.uwindsor.ca/math/hlynka/ijpam175_185.PDF

C.K. Cavas, L. Cavas, M.B. Yokes, M. Hlynka, R. Schell, and
K. Yurdakoc
2008. A Novel Application of Queueing Theory on the Caulerpenyne Secreted
by Invasive Caulerpa taxifolia (Vahl) C.Agardh (Ulvophyceae, Caulerpales):
A Preliminary Study.
Mediterranean Marine Science, VOLUME 9, NUMBER 1, JUNE 2008. pp. 6775
http://web2.uwindsor.ca/math/hlynka/mediterranean2008.pdf
 M. Mandelbaum and M. Hlynka (2008) Examples of Applications of
Queueing Theory in Canada. INFOR, 46(4) 2946.
http://web2.uwindsor.ca/math/hlynka/2008infor29_46.pdf
 M. Hlynka, L. Hurajt, M. Cylwa. 2009. Transient
Results for M/M/1/c Queues via Path Counting.
International Journal of Mathematics in Operational Research.
Volume 1, 2009, 2036.
http://web2.uwindsor.ca/math/hlynka/ijmor2009.pdf
 P.H. 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
 M. Hlynka, P.H. Brill, W. Horn. 2010. A Laplace Transform Method for
Order Statistics of Erlang Random Variables.
Probability and Statistics Letters. V. 80, 918.
http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6V1D4XBX70J1&_user=1010624&_rdoc=1&_fmt=&_orig=search&_sort=d&_docanchor=&view=c&_acct=C000050266&_version=1&_urlVersion=0&_userid=1010624&md5=f3f8aad0e3eb0b3bf62b7e851d36ae93

Jerome Cohen, Xue Han, Anca Matei, Vara Parameswaran, Robert Zuniga, Myron
Hlynka. 2010. Rats' VisualSpatial Working Memory: New Object Choice
Accuracy as a
Function of Number of Objects in the Study Array.
Learning and Motivation, v 41 pp. 125140.

Marvin Mandelbaum and Myron Hlynka. 2009. A History of Queueing in
Canada before 1980. INFOR. 47, pp. 335353.
http://www.docstoc.com/docs/68731872/HistoryofQueueingTheoryinCanadaPriorto1980

Hlynka, M. 2011. The M/M/1 Queue. Wiley Encyclopedia of Operations Research and Management Science.
http://onlinelibrary.wiley.com/doi/10.1002/9780470400531.eorms0891/full

Percy H. Brill, Myron Hlynka. 2012.
Server Workload in an M/M/1 Queue with Bulk Arrivals and Special Delays.
Applied Mathematics, 2012, 3, 21742177. Vol.3 No.12A
http://www.scirp.org/journal/am
 Myron Hlynka. 2014. Queueing Theory. Encyclopedia of Social Network
Analysis and Mining. Springer. 14721483.
 Sheng BI and Myron Hlynka. 2016.
Preprocessing and Cross Border Traffic. Applied Mathematical Sciences,
Vol. 10, 2016, no. 1, 13  22
http://www.mhikari.com/ams/ams2016/ams142016/p/hlynkaAMS142016.pdf

Myron Hlynka. 2017.
MCMC and the Fibonacci distribution.
Communications in Statistics  Simulation and Computation Vol. 46 , Iss. 5, 2017,
33753382
 Myron Hlynka and Dongrui LU. 2017.
A Queueing Model with Interruption. In "A Tribute to Professor
Jyotiprasad
Medhi" 2017, Gauhati University Press, 1317.
 Samantha Morin, Myron Hlynka, and Shan Xu. 2017.
Comments on a Two Queue Network. International Journal of Statistics and
Probability. Vol. 6, 2017, No. 6, 4349.
http://www.ccsenet.org/journal/index.php/ijsp/article/view/69772
 Myron Hlynka. 2018. Queueing Theory. entry in Encyclopedia
of Social Network Analysis and Mining, 2nd ed. Springer.
http://www.springer.com/us/book/9781493971305
Also see entry for 2014 edition.
 Robert Aidoo and Myron Hlynka. 2018. Queues with Server Utilization
of One.
Academic Journal of Applied Mathematical Sciences. V.4, 2017, pp. 4952.
https://arpgweb.com/pdffiles/ajams4(6)4952.pdf

Q. Jiang, M. Hlynka, P. H. Brill, C. H. Cheung. 2018.
Reversibility Checking for Markov Chains.
Communications in Stochastic Analysis (COSA). V. 12, No. 2, 2018, 129135.
https://digitalcommons.lsu.edu/cgi/viewcontent.cgi?article=1472&context=cosa

Nian Liu, Myron Hlynka. 2018.
A Queueing Model for Sleep as a Vacation.
Applied Mathematical Sciences, Vol. 12, 2018, no. 25, 1239  1249
http://www.mhikari.com/ams/ams2018/ams25282018/p/hlynkaAMS25282018.pdf

Ahmed Merie, Myron Hlynka. 2019.
Medical Intervention for Disease Stages Using Game Theory,
Markov Chains, and Bayesian Inference.
International Journal of Statistics and Probability. 8:6, 6067.
http://www.ccsenet.org/journal/index.php/ijsp/article/view/0/39880
 Kexin Xie, Myron Hlynka. 2019.
Forward and Reverse Parking in a Parking Lot.
Applied Mathematical Sciences, Vol. 13, 2019, no. 22, 1091  1102
http://www.mhikari.com/ams/ams2019/ams21242019/p/hlynkaAMS21242019.pdf
 Yiping Zhang, Myron Hlynka, & Percy H. Brill. 2019.
First Passage and Collective Marks.
International Journal of Statistics and Probability. 8:6, 4750.
http://www.ccsenet.org/journal/index.php/ijsp/issue/view/0/2188

Hlynka, Myron. 2019. Applications of Queueing in Society 5.0.
chapter in book Optimization in Large Scale Problems (Springer, 2019). 2327.
https://www.springer.com/gp/book/9783030285647

P.H.Brill, M.L.Huang, M.Hlynka. 2019.
On the service time in a workloadbarrier M/G/1 queue with accepted and
blocked customers.
Available online 26 October 2019
https://www.sciencedirect.com/science/article/abs/pii/S037722171930863X
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://web2.uwindsor.ca/math/hlynka/Ngon.pdf
 M. Hlynka. 2006. Introduction to the Statistical Language R.
WMSR #0604. Revised 2008.
http://web2.uwindsor.ca/math/hlynka/HlynkaIntroToR.pdf
 M. Hlynka. 2007. Some Examples of Graphics in the Statistical
Language R. June 13, 2007.
http://web2.uwindsor.ca/math/hlynka/RgraphicsHlynka.pdf
 M. Mandelbaum, M. Hlynka and P.H. Brill, 2006. Nonhomogeneous
Geometric Distribution Representations and Queueing. WMSR #0603.
(appeared in TOP: Spanish Operational Research Society Journal
Volume 15, 2007, pp. 281296.)
 M. Hlynka and L.M. Hurajt. 2006. "M/M/1 Transient Queues and Path
Counting." WMSR #0605.
http://web2.uwindsor.ca/math/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.
 M. Hlynka and M. Cylwa. 2009.
Observations on the MetropolisHastings
Algorithm." WMSR #0906.
 M. Hlynka and S. Molinaro. 2009.
"Calculating Transient Probabilities of an M/M/1 Queue: R
program and Test Bank." WMSR #0907.
 S. Molinaro and M. Hlynka. 2009.
Comparing System Times In An Unordered Two Queue network.
WMSR #0908.
 B. Zogheib and M. Hlynka. 2009.
Approximations of the Standard Normal Distribution. WMSR #0909.
 S. Molinaro, M. Hlynka, S. Xu. 2011
Two Unordered Queues. ArXiv 1108.1179, 17 pp. WMSR #11.03
 P.H. Brill and M. Hlynka. 2015. Service Time in Variants of
Workloadbarrier
M / G / 1 Queues. WMSR #1501.

Yiyan Ni, Myron Hlynka, Percy H. Brill. 2018.
Urn Models and Fibonacci Series.
arXiv:1806.09150
https://arxiv.org/pdf/1806.09150.pdf

Q. Jiang, M. Hlynka, P. H. Brill, C. H. Cheung. 2018.
Reversibility Checking for Markov Chains.
arXiv:1806.10154
https://arxiv.org/pdf/1806.10154.pdf

Nian Liu, Myron Hlynka. 2018.
Scheduling a Rescue.
arXiv:1808.09339
https://arxiv.org/pdf/1808.09339.pdf

Nian Liu, Myron Hlynka. 2018.
A Queueing Model for Sleep as a Vacation.
arXiv:1809.02197
https://arxiv.org/pdf/1809.02197.pdf

Kexin Xie, Myron Hlynka. 2019.
Forward and Reverse Parking in a Parking Lot
arXiv:1909.12941
https://arxiv.org/pdf/1909.12941.pdf
Manuals
 M. Hlynka, Statistical Packages at the University of Alberta,
1983, 153 pp.
 M. Hlynka, A Brief Introduction to Queueing Theory, 1994,
61 pp.
If you are interested in having Dr. Hlynka as a guest
speaker, please contact him by email
at hlynka@uwindsor.ca
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, after which the Putnam was locally organized
jointly by MH and Dr. Wai Ling Yee.
 Chief organizer of CanQueue 2009 (Canadian Queueing Conference)
in Windsor, August, 2009.
 Chief organizer of CanQueue 2017 (Canadian Queueing Conference)
in Windsor, August, 2017.
 Developed MActSc program at the U of Windsor. It began in Fall, 2015,
and Fall, 2018 cohort is the fourth group.
 Local administrator of the SOA Actuarial Exams, since 20022018.
 Arranged annual visits, from 19952018, by Willis Towers Watson
personnel to U of W to discuss actuarial careers.
Other Neat Links
 For an interesting set of articles and biographies on the history
of mathematics housed at the University of St. Andrews
in Scotland, click on
Math History.
 Mathematical Geneology (Who was your advisor's advisor?)
http://www.genealogy.ams.org/
 Are there any males out there who have wondered about tying
their ties when they dress up in a suit? See
http://www.tcm.phy.cam.ac.uk/~ym101/tie/aps97tie.html
 For an entertaining online magazine about mathematics, from Cambridge
University, visit
http://plus.maths.org/
If you enjoy this kind of mathematics, we would enjoy having you as a
student at the University of Windsor.