Home Page of Dr. Myron Hlynka,

Queueing Theorist



Co-ordinator, Master of Actuarial Science Program, University of Windsor.
2021 MActSc Orientation Slides
I have created a new web site "Queueing and COVID-19" accessible at
http://web2.uwindsor.ca/math/hlynka/covid19.html
April 20, 2020. Co-recipient of WE-SPARK Igniting Discovery COVID-19 Rapid Response competition grant from WE-SPARK 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 18-19, 2017.

Myron Hlynka's Queueing Theory Page.
Co-ordinator, Master of Actuarial Science Program, University of Windsor.
Information on M.Act.Sc.

"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

*Statistics Video Courses
http://web2.uwindsor.ca/math/hlynka/statcourses.html
*Stat video courses from Indian Inst Tech (IIT).
http://web2.uwindsor.ca/math/hlynka/iitstatcourses.html
*Stat Problems Archive (lots of comprehensive exams included)
http://web2.uwindsor.ca/math/hlynka/examarchive.html
*Statistics Course Notes list (includes Penn State items)
http://web2.uwindsor.ca/math/hlynka/statgoodnotes.html

Math Institute Videos.
http://web2.uwindsor.ca/math/hlynka/mathinst.html
M. Hlynka timetable (Sept-Dec., 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

Visit a collection of queueing theory material and pointers at Myron Hlynka's Queueing Theory Page.

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.

    • CanQueue 2019 Presentation:
    http://web2.uwindsor.ca/math/hlynka/canqueue2019slide.pdf

    ICOSDA 2016 Presentation:
    http://web2.uwindsor.ca/math/hlynka/icosda2016.pdf

    CanQueue 2016 Presentation:
    http://web2.uwindsor.ca/math/hlynka/canq2016talkv1.pdf

    CORS 2015 Presentation:
    http://web2.uwindsor.ca/math/hlynka/cors2015talkv1.pdf

    CORS 2014 Presentation:
    http://web2.uwindsor.ca/math/hlynka/cors2014talkv1.pdf

    CanQueue 2012 Presentation:
    http://web2.uwindsor.ca/math/hlynka/canqueue2012.pdf

    CanQueue 2010 Presentation:
    http://web2.uwindsor.ca/math/hlynka/HlynkaPostBeamerCanQ2010.pdf

    CanQueue 2009 was held in Windsor, Ontario, Canada August 27-28, 2009. See
    http://web2.uwindsor.ca/math/hlynka/canqueue2009.html

    Dr. Myron Hlynka


    Dept. of Math. & Stat.
    University of Windsor
    Windsor, Ontario, Canada N9B 3P4

    Phone (519)-253-3000 Extension 3014
    Fax: (519)-971-3649
    e-mail: 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 Fall Term, 2021 (September-December, 2021)
    I will be teaching Math 3980/ACSC 8020 (Theory of Interest) plus Stat 8410/Stat 4410 (Stochastic Processes) and I am currently supervising 2 Master's degree students. I am the academic co-ordinator 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, attention-deficit/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

    1. Andrew LUONG, M.Sc.(Statistics), University of Alberta, 1983
      Master's Paper: Some Results in Reliability Using Death-Immigration and Renewal Processes
    2. Wai-Hang POON, M.Sc.(Computer Science), University of Windsor, 1991, co-supervised with Dr. Henry Toews
      Master's Thesis: Dynamic Scheduling Strategies for Pseudo Parallel Queues: Observing Queues Before Joining
      http://scholar.uwindsor.ca/etd/1798/
    3. Richard SCHELL, M.Sc. (Statistics), University of Windsor, 1994
      Master's Paper: A Queueing Model for Cholesterol
      (University of Windsor Gold Medalist - October, 1995)
    4. 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.
    5. Kirk ROY, M.Sc. (Statistics), University of Windsor, 1997.
      Master's Thesis: A Probabilistic Interpretation of Laplace Transforms
      - co-supervised with Dr. Richard Caron
      http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp01/MQ31000.pdf
    6. 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
    7. 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
    8. Todd BRAITHWAITE, M.Sc. (Statistics), University of Windsor, 1997.
      Master's Thesis: A Two Dimensional Bin Packing Algorithm.
      - co-supervised with Dr. Richard Caron
      http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp01/MQ30932.pdf
    9. Wayne HORN, M.Sc. (Statistics), 1999.
      Master's Thesis: Laplace Transforms of Order Statistics of Erlang Random Variables
      - co-supervised with Dr. Percy Brill.
      http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape10/PQDD_0014/MQ52571.pdf
    10. Yingchun LUO M.Sc. (Statistics), 2000.
      Master's Major Paper: A Doubly Stochastic Inventory Model.
    11. Matthew HAEHNEL. M.Sc. (Math), 2001.
      Master's Major Paper: A Modified Runs Test and the Stock Market.
    12. Bashar ZOGHEIB. M.Sc. (Stat), 2002.
      Master's Major Paper: SAS and Approximations to the Standard Normal Cumulative Distribution Function.
    13. Yong Xiang WU. M.Sc. (Stat), 2003.
      Master's Major Paper: M/M/c/c Queueing Systems and Parking Lots.
    14. Huiling XIONG. M.Sc. (Stat), 2003.
      Master's Major Paper: Inequalities for a Parking Lot Queueing Model.
    15. Yi Bei ZHANG. M.Sc. (Stat), 2004. (co-supervised with T. Traynor)
      Master's Major Paper: Convergence and Stochastic Stability of One Step Methods for Stochastic Differential Delay Equations.
    16. Wen MIN. M.Sc. (Stat), 2005.
      Master's Major Paper: vv Exploratory Statistical Study of E-Bay Textbook Auctions.
    17. Xiaoyong WU. Ph.D. (Stat), 2005. (co-supervised with P. Brill)
      Some Retrial Queueing Models.
    18. Jing TANG. M. Sc. (Stat.) 2005. Control of Queues with Unknown Completion Time.
      http://web2.uwindsor.ca/math/hlynka/jingtangmajorpaper.pdf
    19. Chinthanie RAMASUNDARAHETTIGE. M.Sc. (Stat). A Comparison of Several Queueing Software Packages. 2006.
      v http://web2.uwindsor.ca/math/hlynka/ramamajorpaper.pdf
    20. Dongfang CHANG. M.Sc. (Stat.) 2006.
      Major Paper: Queues which Form Prior to Opening of Service Facility.
    21. Tolulope SAJOBI. M.Sc. (Stat.) 2008.
      Thesis. Markov Transition Matrices and Fibonacci Numbers (126 pp.)
      (Vanier Scholarship Winner)
      https://scholar.uwindsor.ca/etd/4671/
    22. Qianying WU. M.Sc. (Stat.) 2008.
      Major Paper: Some Properties of First Passage Distributions.
    23. Warkas Zaber. M.Sc. (Stat.) 2009.
      Major Paper: A Survey of Markov Applications to Medical Conditions. 2009.
    24. Rifat JAHAN. M.Sc. (Stat.) 2009.
      Major Paper: Queueing Control and Laplace Transforms.
      -co-supervised with Percy Brill
    25. Shan XU. M.Sc. (Stat.) 2010.
      Major Paper: Some Results on Transient Queues.
    26. Qian JIANG. M.Sc. (Stat.) 2011.
      Major Paper: Construction of Transition Matrices for Reversible Markov Chains
    27. Mubeen HUSSAIN. M.Sc. (Stat.) 2011.
      Major Paper: Time to Ruin for Loss Reserves.
    28. Victoria CHERNOUKHOVA. M.Sc. (Stat). 2012-2013.
      Major Paper: Markov Chain Analysis for Vehicular Left-Turning Lanes
    29. Qianqian WANG. M.Sc. (Stat), 2012-2013.
      Major Paper: Comments on Level Crossing Methods
      co-supervised with Percy Brill
    30. Bingsen YAN. M.Sc. (Stat), 2012-2014.
      Major Paper: Laplace Transforms of Busy Periods in Queues
    31. Zishan HUANG, M.Sc. (Stat), 2014-2015.
      Major Paper: Probabilistic Laplace Transform Inversion.
    32. Ziwen AN, M.Sc. student 2014-15. Major Paper: Reliability Results using Probabilistic Interpretation of Laplace Transforms.
    33. Dongrui LU. M. Sc. student 2015-2016. Major Paper: A Queueing Model with Interruptions.
    34. Chong LIU. M. Sc. student 2015-2016. Major Paper: The Coupon Collecting Problem via Laplace Transforms.
    35. Xinwei LIU. M. Sc. student 2015-2016. Major Paper: Replacing Human Service Queues by Kiosks.
    36. Chi Ho (Alex) CHEUNG, PhD student. 2011-2017. co-supervised with Percy Brill
      Analysis of Fluid Queues Using Level Crossing Methods
    37. Minjian YUAN, MSc. student 2016-2017.
      Major Paper: Two Strategies for a Bus Queueing Model.
    38. Robert Aidoo, MSc. student 2016-2018.
      Major Paper: Queues With Server Utilization Of One.
    39. Yelyzaveta Chetina, MSc. student 2017-2018.
      Major Paper: Geometric Model of Roots of Stochastic Matrices.
      co-supervised with Percy Brill
    40. Yiyan Ni, M.Sc. student 2017-2018.
      co-supervised with Percy Brill.
      Major Paper: Urn Models, Infinite Sums and Infinite Products
    41. Zhanxuan Ding, M.Sc. student 2017-2018.
      co-supervised with Percy Brill
      Level Crossing Simulation of a Queueing Model
    42. Yiping ZHANG. M.Sc. student. 2018-2019.
      co-supervised with Percy Brill
      Extension of First Passage Probability.
    43. Jarrett NANTAIS. M.Sc. student 2019-2020.
      Major Paper: Task Interrupted by a Poisson Process.
    45. Ranveer KAUR. M.Sc. student. 2019-2020.
      Thesis: Probability Study of Medical Clinic Scheduling Procedures Jointly supervised by M. Hlynka and P.H. Brill.
    46. Xintong CHEN. M.Sc. student. 2019-2021.
      Public Restrooms and Queueing.
      Jointly supervised by M. Hlynka and P.H. Brill

    Undergraduate NSERC/ MITACS Summer Award Students Supervised

    1. Wai-hang POON, 1989
    2. Karen LUCIER Hill, 1990
    3. Nicole LEMIRE, 1990, co-supervised with Dr. R. Caron
    4. Kar WONG, 1992
    5. Steve DREKIC, 1993
    6. Kirk ROY, 1995, co-supervised with Dr. R. Caron
    7. Jon CASEY, 2002.
    8. Deborah LOACH, 2005, co-supervised with Dr. R. Caron
    9. Laura HURAJT, 2006.
      http://web2.uwindsor.ca/math/hlynka/ijmor2009.pdf
    10. Anna CYLWA, 2007.
    11. Michelle CYLWA, 2008.
      http://web2.uwindsor.ca/math/hlynka/ijmor2009.pdf
    12. Samantha MOLINARO, 2009.
      http://www.ccsenet.org/journal/html/ijsp/articles/69772.html
    13. Sheng BI, 2015. (MITACS intern from Nanjing University, July-Sept, 2015)
      http://www.m-hikari.com/ams/ams-2016/ams-1-4-2016/p/hlynkaAMS1-4-2016.pdf
    14. Nian LIU, 2018. (MITACS intern from Central South University July-Sept, 2018)
      http://www.m-hikari.com/ams/ams-2018/ams-25-28-2018/p/hlynkaAMS25-28-2018.pdf
    15. Kexin Xie, 2019. (Mitacs intern from Dalian University of Technology., July-Sept, 2019)
      http://www.m-hikari.com/ams/ams-2019/ams-21-24-2019/p/hlynkaAMS21-24-2019.pdf
    16. Janhavi Prabhu, 2021. Mitacs intern from Birla Institute of Technology and Science, Goa, India.

    Refereed Publications:

    1. Hlynka, M. and Sheahan, J., 1986, Optimal Control Relating to the Excess of one Poisson Process over Another, Utilitas Mathematica, pp. 217-230.
      http://web2.uwindsor.ca/math/hlynka/utilitas217_230.PDF
    2. Hlynka, M. and Sheahan, J., 1987, Controlling Rates for a Double Queue, Naval Logistics Research Quarterly, V. 34, pp. 569-577.
    3. Hlynka, M. and Sheahan, J., 1988, The Secretary Problem for a Random Walk, Stochastic Processes and Their Applications, V. 28, pp. 317-325.
    4. Hlynka, M., Sheahan, J. and Wiens, D.P, 1990, On the Choice of Support of Re-Descending Psi-Functions in Linear Models with Asymmetric Error Distributions, Metrika, V. 37, pp. 365-381.
    5. 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. 233-249.
    6. 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. 1147-1150.
    7. Khasnabish, B., Ahmadi, M., Hlynka, M. and Shridhar, M., 1993, Trading Nodal Storage Capacity with Incremental Transmission Capacity in Supra-high-speed Packet-switching Nets, Canadian Journal of Electrical and Computer Engineering, Vol. 18, pp. 71-80.
    8. Hlynka, M. and Wang, T., 1993. Comments on Duality of Queues with Finite Buffer Size, Operations Research Letters, V. 14, pp. 29-33.
    9. Hlynka, M., Stanford, D., Poon, W. and Wang, T., 1994. Observing Queues before Joining, Operations Research, V. 42, pp. 365-342.
      http://www.jstor.org/action/showBasicSearch
    10. 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. 156-161.
    11. Stanford, D. and Hlynka, M., 1996. Observing General Service Queues Before Joining, Operations Research Letters, V. 18, pp. 237-245.
    12. M. Hlynka, S. Drekic and G. McPhail, 1997, A Non- Monotone Waiting Time Queueing Model, Utilitas Mathematica, 52, 83-89.
      http://web2.uwindsor.ca/math/hlynka/utilitas1997_83-89.PDF
    13. P.H. Brill and M. Hlynka, 1998, A Single Server N-Line Queue in which a Customer May Receive Special Treatment, Stochastic Models. 14, 905-931.
    14. P.H. Brill and M. Hlynka, 2000. "An Exponential Queue with Competition for Service," European Journal Of Operational Research (126)3 (2000) pp. 587-602.
    15. J.C. Fedoruk, D. Paterson, M. Hlynka, K.Y. Fung, M. Gobet, W. Currie, 2002. "Rapid On-Site Defibrillation versus Community Program." Prehospital and Disaster Medicine, V. 17:2, pp. 102-106.
      http://pdm.medicine.wisc.edu/17-2pdf/102-106Fedoruk.pdf
    16. M. Hlynka and L. Mandziuk. 2002. A Queueing Model for Attention- Deficit / Hyperactivity Disorder. Proceedings of SCI 2002, The 6th World Multi-Conference on SYSTEMICS, CYBERNETICS AND INFORMATICS. Orlando, Florida. July 14-16, 2002, Volume IV, 243-248.
      http://web2.uwindsor.ca/math/hlynka/orlando.pdf
    17. P. Brill and M. Hlynka, 2002. A Geometric Interpretation of 2x2 Markov Transition Matrices. Missouri Journal of Mathematical Sciences. Volume 14, 2002. 159-174.
      http://www.math-cs.ucmo.edu/~mjms/2002.3/brill.pdf
    18. M. Mandelbaum and M. Hlynka, 2003. Job Sequencing Using An Expert. International Journal of Production Economics, 85, 389-401.
    19. 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. 313-327. Proceedings of the 2001 15th Annual Symposium on High Performance Computing Systems and Applications.
    20. 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, 30-51.
    21. 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. 281-296.
      If your university has access to Springer publications, you can view a copy at
      http://www.springerlink.com/content/a6303772r58x0722/
    22. M. Hlynka and T. Sajobi. 2008. "A Markov Chain Fibonacci Model." Missouri Journal of Mathematical Sciences. Volume 20. No. 3. pp. 186-199.
      http://web2.uwindsor.ca/math/hlynka/hlynkasajobiams.pdf
    23. 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, 175-185.
      http://web2.uwindsor.ca/math/hlynka/ijpam175_185.PDF
    24. 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. 67-75
      http://web2.uwindsor.ca/math/hlynka/mediterranean2008.pdf
    25. M. Mandelbaum and M. Hlynka (2008) Examples of Applications of Queueing Theory in Canada. INFOR, 46(4) 29-46.
      http://web2.uwindsor.ca/math/hlynka/2008infor29_46.pdf
    26. 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, 20-36.
      http://web2.uwindsor.ca/math/hlynka/ijmor2009.pdf
    27. 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, 171-174.
      http://www.iaeng.org/IJAM/issues_v39/issue_3/IJAM_39_3_05.pdf
    28. 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, 9-18.
      http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6V1D-4XBX70J-1&_user=1010624&_rdoc=1&_fmt=&_orig=search&_sort=d&_docanchor=&view=c&_acct=C000050266&_version=1&_urlVersion=0&_userid=1010624&md5=f3f8aad0e3eb0b3bf62b7e851d36ae93
    29. Jerome Cohen, Xue Han, Anca Matei, Vara Parameswaran, Robert Zuniga, Myron Hlynka. 2010. Rats' Visual-Spatial Working Memory: New Object Choice Accuracy as a Function of Number of Objects in the Study Array. Learning and Motivation, v 41 pp. 125-140.
    30. Marvin Mandelbaum and Myron Hlynka. 2009. A History of Queueing in Canada before 1980. INFOR. 47, pp. 335-353.
      http://www.docstoc.com/docs/68731872/History-of-Queueing-Theory-in-Canada-Prior-to-1980
    31. 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
    32. Percy H. Brill, Myron Hlynka. 2012. Server Workload in an M/M/1 Queue with Bulk Arrivals and Special Delays. Applied Mathematics, 2012, 3, 2174-2177. Vol.3 No.12A
      http://www.scirp.org/journal/am
    33. Myron Hlynka. 2014. Queueing Theory. Encyclopedia of Social Network Analysis and Mining. Springer. 1472-1483.
    34. Sheng BI and Myron Hlynka. 2016. Preprocessing and Cross Border Traffic. Applied Mathematical Sciences, Vol. 10, 2016, no. 1, 13 - 22
      http://www.m-hikari.com/ams/ams-2016/ams-1-4-2016/p/hlynkaAMS1-4-2016.pdf
    35. Myron Hlynka. 2017. MCMC and the Fibonacci distribution. Communications in Statistics - Simulation and Computation Vol. 46 , Iss. 5, 2017, 3375-3382
    36. Myron Hlynka and Dongrui LU. 2017. A Queueing Model with Interruption. In "A Tribute to Professor Jyotiprasad Medhi" 2017, Gauhati University Press, 13-17.
    37. 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, 43-49.
      http://www.ccsenet.org/journal/index.php/ijsp/article/view/69772
    38. 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.
    39. Robert Aidoo and Myron Hlynka. 2018. Queues with Server Utilization of One. Academic Journal of Applied Mathematical Sciences. V.4, 2017, pp. 49-52.
      https://arpgweb.com/pdf-files/ajams4(6)49-52.pdf
    40. 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, 129-135.
      https://digitalcommons.lsu.edu/cgi/viewcontent.cgi?article=1472&context=cosa
    41. 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.m-hikari.com/ams/ams-2018/ams-25-28-2018/p/hlynkaAMS25-28-2018.pdf
    42. 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, 60-67.
      http://www.ccsenet.org/journal/index.php/ijsp/article/view/0/39880
    43. 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.m-hikari.com/ams/ams-2019/ams-21-24-2019/p/hlynkaAMS21-24-2019.pdf
    44. Yiping Zhang, Myron Hlynka, & Percy H. Brill. 2019.
      First Passage and Collective Marks.
      International Journal of Statistics and Probability. 8:6, 47-50.
      http://www.ccsenet.org/journal/index.php/ijsp/issue/view/0/2188
    45. Hlynka, Myron. 2019. Applications of Queueing in Society 5.0.
      chapter in book Optimization in Large Scale Problems (Springer, 2019). 23-27. https://www.springer.com/gp/book/9783030285647
    46. P.H.Brill, M.L.Huang, M.Hlynka. 2019. On the service time in a workload-barrier 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:

    1. Hlynka, M. and Sheahan, J., 1987, Optimal strategies and Poisson Distribution, Technical Report, 4 pp.
    2. 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 88-03, 5 pp.
    3. Hlynka, M., 1988, Perishable Inventory Units with an Assignment Time, Windsor Mathematics Report #88-06, (Technical Report), 46 pp.
    4. Hlynka, M. 1988 A Discrete Analog to the Method of Stages, Windsor Mathematics Report #88-11, 17 pp.
    5. 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 #89-25, 6 pp.
    6. Hlynka, M. and Poon, W.H., 1989, A Computer Program for Parallel Queues, Windsor Mathematics Report #89-11 (Technical Report) 18 pp.
    7. Hlynka, M. and Poon, W.H., 1989, Properties of the Steady State Probabilities of Two Parallel Queues, Windsor Mathematics Report #89-12, (revised July, 1990), 14 pp.
    8. M. Hlynka and Wang, T., 1990, Comments on Duality of Queues with Finite Buffer Size, Windsor Mathematics Report #90-04, 14 pp.
    9. Wang, T. and Hlynka, M., 1990, Two Parallel Queues with Partial Jockeying, Windsor Mathematics Report, #90-06, 15 pp.
    10. Hlynka, M., Poon, W.H., and Wang, T., 1990, Observing Queues before Joining, Windsor Mathematics Report #90-07, 24 pp.
    11. A.Atmani, R.Caron, M. Hlynka, R.Lashkari, and N. Lemire, 1992, School Bus Scheduling, A Preliminary Report. Windsor Mathematics Report #92-04, 61 pp.
    12. M. Hlynka and C.K. Wong, 1993, An Improved Queue Joining Strategy, Windsor Mathematics Report #93-01, 10 pp.
    13. S.V. Majety, M. Hlynka, and R.S. Lashkari, 1993, Determining the Number of AGV's in Assembly Line Processes.
    14. P.H. Brill and M. Hlynka, 1993, The "Who's Next" Queue with Two Lines, Windsor Mathematics Report, 93-08, 21 pp.
    15. D.A. Stanford and M. Hlynka, 1993, Observing General Service Queues Before Joining, 16 pp.
    16. P.H. Brill and M. Hlynka, 1994, A Single Server N-Line Queue in which a Customer May Receive Special Treatment, Windsor Mathematics Report, 94-03, 21 pp.
    17. M. Hlynka, S. Drekic and G. McPhail, 1994, A Non- Monotone Waiting Time Queueing Model, Windsor Mathematics and Statistics Report 94-05, 10 pp.
    18. L. Mandziuk and M. Hlynka, 1995, A Queueing Model for Attention-Deficit / Hyperactivity Disorder, Windsor Mathematics and Statistics Report 95-02, 18 pp.
    19. M. Hlynka, 1995, Statistical Distributions Arising in Perishable Inventory, Windsor Mathematics and Statistics Report 95-03, 12 pp.
    20. K. Roy and M. Hlynka, 1995, Queueing in APL, Windsor Mathematics and Statistics Report 95-04, 13 pp.
    21. J. Henderson and M. Hlynka, 1995, Risk Aversion and the Selection of a Target for Quality, Windsor Mathematics and Statistics Report 95-05, 11 pp.,
    22. 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)
    23. K. Roy and M. Hlynka, 1995, Queueing Theory Applied to a Traffic Light Problem, Windsor Mathematics and Statistics Report #95-14, 18 pp.
    24. M. Hlynka, 1995, Book Review of "Weighted Approximations in Probability and Statistics", by M. Csorgo and L. Lajos. Interfaces, Sept.-Oct., 1995, pp. 213-214.
    25. P. Brill and M. Hlynka, 1997, "A Geometric Interpretation of Markov Transition Matrices", Windsor Math and Statistics Report, #97-01, 10 pp.
    26. P. Brill and M. Hlynka, 1997, A Multiple Server "Who's Next?" Queue, Windsor Math and Statistics Report, #97-03, 14 pp.
    27. P. Brill and M. Hlynka, 1997, Companion Results to L = lambda W, Windsor Math and Statistics Report, #98-01, 6 pp.
    28. M. Hlynka, W. Horn, R. Schell, 1999. Branching Processes and Fibonacci Numbers. Windsor Math and Statistics Report, #99-02, 9 pp.
    29. 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, #99-05, 7 pp.
    30. J. Casey and M. Hlynka. 2002. The Parrondo Paradox and Queueing. Windsor Math and Statistics Report, #02-02, 13 pp.
    31. M. Hlynka and D. Loach. 2005. Generating Uniform Random Points in a Regular $n$ Sided Polygon. WMSR #05-02. 8 pp.
      http://web2.uwindsor.ca/math/hlynka/Ngon.pdf
    32. M. Hlynka. 2006. Introduction to the Statistical Language R. WMSR #06-04. Revised 2008.
      http://web2.uwindsor.ca/math/hlynka/HlynkaIntroToR.pdf
    33. M. Hlynka. 2007. Some Examples of Graphics in the Statistical Language R. June 13, 2007.
      http://web2.uwindsor.ca/math/hlynka/RgraphicsHlynka.pdf
    34. M. Mandelbaum, M. Hlynka and P.H. Brill, 2006. Nonhomogeneous Geometric Distribution Representations and Queueing. WMSR #06-03.
      (appeared in TOP: Spanish Operational Research Society Journal Volume 15, 2007, pp. 281-296.)
    35. M. Hlynka and L.M. Hurajt. 2006. "M/M/1 Transient Queues and Path Counting." WMSR #06-05.
      http://web2.uwindsor.ca/math/hlynka/hlynkahurajt.pdf
    36. M. Hlynka and P.H. Brill. 2007. Stability in M/M/1 Queues with Reneging. WMSR #07-09
    37. M. Hlynka and P.H. Brill. 2008. "A Result for a Counter Problem." WMSR #08-01.
    38. M. Hlynka and M. Cylwa. 2009.
      Observations on the Metropolis-Hastings Algorithm." WMSR #09-06.
    39. M. Hlynka and S. Molinaro. 2009.
      "Calculating Transient Probabilities of an M/M/1 Queue: R program and Test Bank." WMSR #09-07.
    40. S. Molinaro and M. Hlynka. 2009.
      Comparing System Times In An Unordered Two Queue network.
      WMSR #09-08.
    41. B. Zogheib and M. Hlynka. 2009.
      Approximations of the Standard Normal Distribution. WMSR #09-09.
    42. S. Molinaro, M. Hlynka, S. Xu. 2011
      Two Unordered Queues. ArXiv 1108.1179, 17 pp. WMSR #11.03
    43. P.H. Brill and M. Hlynka. 2015. Service Time in Variants of Workload-barrier M / G / 1 Queues. WMSR #15-01.
    44. Yiyan Ni, Myron Hlynka, Percy H. Brill. 2018. Urn Models and Fibonacci Series.
      arXiv:1806.09150
      https://arxiv.org/pdf/1806.09150.pdf
    45. 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
    46. Nian Liu, Myron Hlynka. 2018.
      Scheduling a Rescue.
      arXiv:1808.09339 https://arxiv.org/pdf/1808.09339.pdf
    47. Nian Liu, Myron Hlynka. 2018.
      A Queueing Model for Sleep as a Vacation.
      arXiv:1809.02197 https://arxiv.org/pdf/1809.02197.pdf
    48. Kexin Xie, Myron Hlynka. 2019.
      Forward and Reverse Parking in a Parking Lot
      arXiv:1909.12941
      https://arxiv.org/pdf/1909.12941.pdf

    Manuals

    If you are interested in having Dr. Hlynka as a guest speaker, please contact him by e-mail at hlynka@uwindsor.ca

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