CV of Dr. Myron Hlynka

Rank: PROFESSOR
Department of MATHEMATICS & STATISTICS
University of Windsor
Windsor, Ontario, Canada N9B 3P4
Phone: 519-253-3000( 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 03-65-554 (Sampling Theory: Reading Course)
Summer 2008: 03-62-498-02 (Mathematical Problem Solving: Reading Course)
Winter 2008: 03-62-498-25 (History of Mathematics: Reading Course)
Winter 2008: 03-62-120/26 (Linear Algebra)
Winter 2008: 03-62-392 (Theory of Interest)
Fall 2007: 03-65-376 (Stochastic Operational Research)
Fall 2007: 03-65-340 (Applied Probability)

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: reading course), 03-65-350 (Probability), 03-65-351 (Statistics), 03-65-548 (Nonparametric Statistics), 03-65-253 (Statistics for the Sciences), 03-65-455 (Topics in Statistics: reading), 03-65-456 (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, 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"

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
    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://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp01/MQ30935.pdf
  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 (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. Name withheld. M.Sc. (Stat.) Major Paper: Markov Applications to Medical Conditions. A Survey. 2009.
  24. Rifat JAHAN. M.Sc. (Stat.) Major Paper: Control of Queues by Laplace Transform. 2009. (paper completed, courses in progress)
  25. 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

  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.

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.
    http://www.math-cs.cmsu.edu/~mjms/current.html
  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.
    http://www.iaeng.org/IJAM/issues_v39/issue_3/IJAM_39_3_05.pdf

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://www2.uwindsor.ca/~hlynka/loachpolygon.pdf
  32. M. Hlynka. 2006. Introduction to the Statistical Language R. WMSR #06-04.
    http://www2.uwindsor.ca/~hlynka/HlynkaIntroToR.pdf
  33. M. Mandelbaum, M. Hlynka and P.H. Brill, 2006. Nonhomogeneous Geometric Distribution Representations and Queueing. WMSR #06-03.
    (accepted in TOP (Spanish Operational Research Society Journal)
  34. M. Hlynka and L.M. Hurajt. 2006. "M/M/1 Transient Queues and Path Counting." WMSR #06-05.
    http://www2.uwindsor.ca/~hlynka/hlynkahurajt.pdf
  35. M. Hlynka and P.H. Brill. 2007. Stability in M/M/1 Queues with Reneging. WMSR #07-09
  36. M. Hlynka and P.H. Brill. 2008. "A Result for a Counter Problem." WMSR #08-01.

Manuals

Other Activities: