CV of Dr. Myron Hlynka

University of Windsor
Windsor, Ontario, Canada N9B 3P4
Phone: 519-253-3000( extension 3014)
B.Sc.(Hons) (Math) University of Manitoba 1970.
M.A. (Math) Pennsylvania State University 1975.
Ph.D. (Statistics) Pennsylvania State University 1985.

Winter 2019 Stochastic Operational Research
Winter 2019 Stochastic Processes

Other courses taught at the University of Windsor, dating from 1986, are
03-65-251(Mathematical Statistics), 03-65-455/541(Stochastic Processes), 03-65-544 (Multivariate Analysis), 03-65-350 (Probability), 03-65-351 (Statistics), 03-65-548 (Nonparametric Statistics), 03-65-205 (Statistics for the Sciences) 03-65-555 (Regression), 03-65-554 (Sampling), Calculus, advanced linear algebra, number theory, history of math

Professional Accreditation and Memberships:

Research Interests

Research interests: queueing theory, 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, queueing applications in telecommunications, queueing applications in health services, inventory theory, robustness, random truncation, "secretary problem", urn models, level crossing for queues, Laplace transforms, number theory, actuarial mathematics

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
  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
  6. Mathew CHANDLER, M.Sc. (Statistics), University of Windsor, 1997.
    Master's Thesis: A Situational Analysis of the Sacrifice Bunt in Baseball
  7. Luat BUI, M.Sc. (Mathematics), University of Windsor, 1997.
    Master's Thesis: New Results in Partition Theory
  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
  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.
  10. Yingchun LUO (Statistics). 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: 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.
  19. Chinthanie RAMASUNDARAHETTIGE. M.Sc. (Stat). A Comparison of Several Queueing Software Packages. 2006.
  20. Dongfang CHANG. M.Sc. (Stat.) Queues which Form Prior to Opening of Service Facility. 2006.
  21. Tolulope SAJOBI. M.Sc. (Stat.) Thesis. Markov Transition Matrices and Fibonacci Numbers (126 pp.) 2008.
  22. Qianying WU. M.Sc. (Stat.) Major Paper: First Passage Distributions. 2008.
  23. Zaqas Wuberi. M.Sc. (Stat.) Major Paper: Markov Applications to Medical Conditions. A Survey. 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. Analysis of Fluid Queues Using Level Crossing Methods
    co-supervised with Percy Brill
  37. Minjian YUAN, MSc. student 2016-2017.
    Major Paper: Two Strategies for a Bus Queueing Model.
  38. Qian JIANG, PhD student. 2011-. co-supervise with Percy Brill
  39. Robert Aidoo, MSc. student 2016-2018.
    Major Paper: Queues With Server Utilization Of One.
  40. Yelyzaveta Chetina, MSc. student 2017-2018.
    Major Paper: Geometric Model of Roots of Stochastic Matrices.
    co-supervised with Percy Brill
  41. Yiyan Ni, M.Sc. student 2017-2018.
    co-supervised with Percy Brill.
    Major Paper: Urn Models, Infinite Sums and Infinite Products
  42. Zhanxuan Deng, M.Sc. student 2017-2018.
    co-supervised with Percy Brill
    Major Paper: Level Crossing Approximation Methods

Undergraduate NSERC 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.
  10. Anna CYLWA, 2007.
  11. Michelle CYLWA, 2008.

MITACS Interns
  1. Sheng BI, 2015, Nanjing University (China)
  2. Nian LIU, 2018, Central South University (China)

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.
  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 Applications 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.
  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.
  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, pp. 102-106. (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.)
  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. For a pdf version click HERE.
  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.
  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.
  22. M. Hlynka and T. Sajobi. 2008. A Markov Chain Fibonacci Model. Missouri Journal of Mathematical Sciences. Volume 20, pp. 186-199.
  23. 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. 175-185.
  24. 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. 67-75.
  25. M. Mandelbaum and M. Hlynka. 2008. Examples of Applications of Queueing Theory in Canada. INFOR. Volume 46, pp. 29-46.
  26. 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. 20-36.
  27. 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, 171-174.
  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.
  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.
  31. Hlynka, M. 2011. The M/M/1 Queue. Wiley Encyclopedia of Operations Research and Management Science
  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
  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
  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.
  38. Myron Hlynka. 2018. Queueing Theory. entry in Encyclopedia of Social Network Analysis and Mining, 2nd ed. Springer.
    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.
  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.
  41. Nian Liu, Myron Hlynka. 2018.
    A Queueing Model for Sleep as a Vacation.
    Applied Mathematical Sciences, Vol. 12, 2018, no. 25, 1239 - 1249

Other Activities: