## Research Interests

- Queueing theory: bulk and nonbulk queues; discrete-time queues.
- Rootfinding of polynomials and transcedental equations, eigenvalues.

## Biography

After receiving his Ph.D degree from Kurukshetra University, Dr. Mohan Chaudhry moved to Canada as a senior postdoctoral fellow at the University of Toronto before moving to the Royal Military College of Canada in 1967.

Since 1967, he has been in the department of Mathematics and Computer Science at the Royal Military College of Canada. He currently holds the position of a professor in the Department of Mathematics and Computer Science. He severed as the Head of the Department from 1990 to 1991, and is currently the chair of degree in Mathematics and Business Administration and the President of Graduate Committee of the Department. He has been an invited professor at George Mason University, USA in 1988; a distinguished professor both at Korea Advanced Institute of Science and Technology in 2001, Ghent University, Belgium in 2004.

In addition to being a member, Dr. Chaudhry has held and continues to hold position as an associate editor for several Operational Research Journals. He organizes and chairs sessions for various organizations. In 2003, Dr. Chaudhry's contributions were recognized by the Canadian Operational Research Society that gave him the award of Merit. In 2005, he was given the service award by the same society. Also, in 2005, his paper "An invariance relation and a unified method to derive stationary queue lengths" was adjudged the best paper of the year (in Industrial Engineering) by the Korean Federation of Science and Technology.

## Teaching

Graduate level courses are given in the following areas:

- MAE533 : Probability and Discrete-time Processes
- MAE535 : Stochastic Processes-I
- MAE537 : Stochastic Processes-II

## Events, organizations

## Events, organizations

**Memberships held in scholarly or professional societies**- Full Member, Canadian Operational Research Society
- Full Member, INFORMS
- Member, Indian Society for Probability and Statistics

**Editors**- Ex-associate Editor, Journal of Management Science and Applied Cybernetics.
- Ex-associate Editor, Information Systems and Operational Research.
- Ex-associate Editor, Queueing Systems ‑ Theory and Applications.
- Ex‑Fellow, American Association for the Advancement of Science.
- Member, Editorial Board of Computers and Operations Research.
- Associate Editor, International Journal of Mathematical and Statistical Sciences (IJMS).
- Member, International Program Committee, ISSAT International Conference on Reliability and Quality in Design.
- Specialist, University and Polytechnic Grants Committee, Hong Kong.

**Chairmanships at Conferences and Symposia**- Co‑ordinating chairman, 40th Ontario Mathematics Meeting, of Conferences, October 1976.
- Co‑ordinating chairman, Joint 62nd Ontario Mathematics Meeting and 17e Collège des Mathématiciens du Québec, April 1982.
- Chairman of a session at the V European congress on operational research, July 11‑14,1982.
- Chairman of a session at the VII European congress on operational research, June 16‑20, 1985.
- Chairman of a session at the TIMS XXVII conference, July 20‑23, 1986.
- Chairman of a session at the TIMS/ORSA Meeting, May 7‑9, 1990.
- Chairman of a session at the CORS conference, May 22‑25, 1990.
- Chairman of a session at the ORSA/TIMS Meeting, Oct 29‑31, 1990.
- Organized and chaired a session at the CORS 93 conference, Halifax, May 25-27, 1993.
- An invitation to organize a session at the 1994 ISSAT International Conference on Reliability and Quality in Design was rejected.
- Invitation to organize a session for the Spring 1995 Los Angeles TIMS/ORJA Meeting was rejected.
- Chaired a session at the CORS'94 Conference, May 29-June 1, 1994.
- Organized a session for the INFORMS Singapore Conference on the topic: "On discrete-time queues," Singapore, 28 June, 1995.
- Invitation to attend and give a talk at the National Symposium: Statistics and Operations Research, 30-31 December 1995, Gauhati University, India, was rejected.
- Organized and chaired a session for the International Federation of Opl. Res. Societies, 8-12 July, 1996. Also presented a paper titled: Queue-length and waiting-time distributions of discrete-time GIX/Geom/1 queueing systems with early and late arrivals.
- Organized and chaired an invited session on applied probability at the CORS and IEEE Conference in Ottawa, May 26-28, 1997.
- Organized and chaired two invited sessions on (1) "Queueing with finite waiting space" and (2) "Applied Probability" at the INFORMS XXXIV International Conference and EURO XV, July 14-17, 1997.
- Organized and chaired an invited session on Applied Probability at the APORS Conference, Melbourne, Nov. 30 - Dec 4, 1997.
- Organized and chaired an invited session on applied probability at the International Conference held at McMaster University, 10-11 Oct, 1998.
- Organized and chaired an invited session on the topic, "Computational problems in applied probability," August 16-20, 1999. Also, gave a talk on the topic, " On steady-state distributions of numbers in the queue GeomX/G/1," 15th Triennial Conference of IFORS, Beijing.
- Acted as a member of the Advisory Committee for the International Conference on Stochastic Processes and their Applications, Cochin, 17-20 Dec 1999.
- Chaired a session at the International Conference on Recent Advances in Mathematical Sciences, Kharagpur, 20-22 Dec 2000.
- Organized and chaired a session at the INFORMS International Conference, Hawaii, June 16-20, 2001.
- Organized and presided over the Canadian Operational Research Society (CORS) conference March 22, 2004 (Local Section): People from RMC, Base and Queen's University participated. Venue: RMC Mess.

## Software packages

- QROOT: root-finding software package.
- QPACK: queuing models software packages.

## Books on Queues

## Books on Queues

### Discrete-time queues

- Bruneel, H. and Kim, B.G., Discrete-Time Models for Communication Systems Including ATM, Kluwer Academic Publishers, Boston (1993).
- Christos G. Cassandras (Boston University) and Stéphane Lafortune (The University of Michigan) Introduction to Discrete Event Systems. Published in September 1999 by KLUWER ACADEMIC PUBLISHERS, 848 pages. Hardbound, ISBN 0-7923-8609-4 More info. on the book: Introduction to Discrete Event Systems
- Hans DADUNA. Queueing Networks with Discrete Time Scale Explicit Expressions for the Steady State Behavior of Discrete Time Stochastic Networks . 2001. X, 138 pp. Softcover 3-540-42357-5
- Hideaki Takagi. 1993. Queueing Analysis Vol. 3. Discrete-Time Systems. 484 pages. North-Holland; ISBN: 0444816119
- Hunter, J.J., Mathematical Techniques of Applied Probability, Vol. II, Discrete Time Models: Techniques and Applications, Academic Press, NY (1983).
- Kobayashi, H., Discrete-Time Queueing Systems. In Probability Theory and Computer Science, Louchard, G., G. Latouche, (eds.), Academic Press, NY (1983).
- Kouvatsos, D.D., Performance Modelling and Evaluation of ATM Networks, Chapman Hall, London, 1995.
- Sohraby, K. 1995. Discrete Time Queueing Theory. Springer Verlag. (ISBN 0387198822)
- Woodward, M.E., Communication and Computer Networks: Modelling with Discrete-Time Queues, California IEEE Computer Society Press, Los Alamitos, California, (1994).

### Continuous-time queues

- Allen, A.O., Probability, Statistics and Queueing Theory with Computer Science Applications, Academic Press, NY (1978).
- Amussen, S., Applied Probability and Queues, Wiley, NY (1987).
- Arnold O. Allen. 1990. Probability, statistics, and queueing theory: with computer science applications. Second ed. 768 pp. Academic Press, New York. ISBN 0-12-051-051-0.
- Bacelli, F. and Bremaud, P., Elements of Queueing Theory: Palm-Martingale Calculus and Stochastic Recurrences, Springer-Verlag, NY (1994).
- Borovkov, A.A., Asymptotic Methods in Queueing Theory, Wiley, NY (1984).
- Brian D. Bunday. An introduction to queueing theory. 205 pages. Oxford Univ Press; ISBN: 0340662395.
- Bunday, B.D. 1986. Basic Queuing Theory . Publ: Edward Arnold. ISBN 0713135700.
- Chaudhry, M.L. and Templeton, J.G.C., A First Course on Bulk Queues, Wiley, NY (1983).
- Chee Hock Ng. 1997. Queueing Modelling Fundamentals. 234 pages. John Wiley & Son Ltd; ISBN: 0471968196.
- Cohen, J.W. and Boxma, O.J., Boundary Value Problems in Queueing System Analysis, North Holland, NY (1983).
- Cohen, J.W., The Single Server Queue North-Holland, NY (1982).
- Cooper, R.B., Introduction to Queueing Theory, 2nd. edition, North-Holland, NY (1981).
- Courtois, P.J., Decomposability: Queueing and Computer System Applicators, Academic Press, NY (1977).
- D. R. Cox, Walter L. Smith. 1999. Queues. CRC Press; ISBN: 0412109301
- G. F. Newell. 1982. Applications of Queueing Theory . 2nd ed., 303 pp. Chapman & Hall. ISBN: 0412245000.
- Gnedenko, B.V. and Kovalenko, I.N. 1989. Introduction to Queueing Theory, Second Edition. 314 pp. Birkhauser. ISBN 0-8176-3423-1.
- Gross, Donald, and Harris, Carl. 1998. Fundamentals of Queueing Theory. 3rd Edition. 439 pp. 0-471-17083-6
- H.M. Srivastava and B.R.K. Kashyap. 1982. Special Functions in Queuing Theory and Related Stochasic Processes . 308 pp. Academic Press. ISBN: 0126606501.
- Hideaki Takagi. 1991. Queueing Analysis Vol. 1. Vacation and Priority Systems. 488 pages. North-Holland; ISBN: 0444889108
- Hideaki Takagi. 1993. Queueing Analysis Vol. 2. Finite Systems 560 pages. North-Holland; ISBN: 0444816143
- Hillier, F.S. and Yu, O.S., Queueing Tables and Graphs, North-Holland, NY (1981).
- J. Medhi. 1991. Stochastic Models in Queueing Theory. Academic Press. ISBN 0124875505.
- Jaiswal, J., Priority Queues, Academic Press, NY (1968).
- Kashyap, B.R.K. and Chaudhry, M.L., An Introduction to Queueing Theory, A&A Publications, Kingston, Ontario (1988).
- Kishor Trivedi. 2001. Probability and Statistics with Reliability, Queuing, and Computer Science Applications, 2nd Edition . Wiley. ISBN: 0-471-33341-7.
- Kleinrock, L., Queueing Systems Vol. 1: Theory, Wiley, NY (1975).
- Kleinrock, L., Queueing Systems Vol. 2: Computer Applications, Wiley, NY (1976).
- Lee, A.M., Applied Queueing Theory, St. Martin's Press, NY (1966).
- Leonard Kleinrock and Richard Gail. 1996. Queueing Systems : Problems and Solutions. 227 pages. John Wiley & Sons; ISBN: 0471555681.
- Lester Lipsky. 1992. Queueing Theory. 384 pp. Macmillan Publishing. ISBN: 0023709629.
- Linn I. Sennott. 1998. Stochastic Dynamic Programming and the Control of Queueing Systems . 328 pages. John Wiley & Sons; ISBN: 0471161209
- Lipsky, L., Queueing Theory, MacMillan, NY (1992).
- Marcel F. Neuts. 1989. Structured Stochastic Matrices of M/g/1 Type and Their Applications.
- Marcel F. Neuts. 1995. Matrix-Geometric Solutions in Stochastic Models: An Algorithmic Approach. 332 pages. Dover Pubns; ISBN: 0486683427. First Published in 1981 by Johns Hopkins Univesity Press.
- Medhi, J., Recent Developments in Bulk Queueing Models, Wiley Eastern, New Delhi (1984).
- Medhi, J., Stochastic Models in Queueing Theory, Academic Press, NY (1991).
- Meyer, Carl D. (1993). Linear Algebra, Markov Chains, and Queueing Theory. Springer Verlag. New York. (ISBN 0387940855)
- Neuts, M.F., Matrix-Geometric Solutions in Stochastic Models - Algorithmic Approach, The John Hopkin's University Press, Baltimore (1981).
- Neuts, M.F., Structured Stochastic Matrices of M/G/1 Type and Their Applications, Marcel Dekker, NY (1989).
- Newell, G.F., Applications of Queueing Theory, 2nd edition. University Press, Cambridge, England (1982).
- O.P. Sharma. 1990. Markovian Queues (Ellis Horwood Series in Mathematics and Its Applications). Ellis Horwood Ltd; ISBN: 0135531578.
- Papadopoulous, H.T., Heavey, C. and Browne, J., Queueing Theory in Manufacturing Systems and Design Chapman & Hall, NY (1993).
- Prabhu, N.U., Queues and Inventories, Wiley, NY (1965).
- Prabhu, N.U., Stochastic Storage Processes: Queues, Insurance Risk and Dams, Springer-Verlag, NY (1980).
- Randolph Nelson. Probability, Stochastic Processes, and Queueing Theory: The Mathematics of Computer Performance Modelling . 583pp. Springer. New York. ISBN: 0387944524. 1st ed. 1995. Corr. 3rd printing 2000. XXVIII,
- Randolph W. Hall. 1991. Queueing Methods: For Services and Manufacturing . 476pp. Prentice Hall. ISBN: 0137447566.
- Robertazzi, T.G., Computer Networks and Systems: Queueing Theory and Performance Evaluation, Springer-Verlag, NY (1990).
- Ronald W. Wolff. 1989. Stochastic Modeling and the Theory of Queues. 560 pp. (Prentice Hall International Series in Industrial and Systems Engineering). ISBN: 0138466920
- Ruiz-Palá, E., Ávila-Beloso, C., and Hines, W.H., Waiting Line Models: An Introduction to Their Theory and Application, Reinhold Publishing Corporation, NY (1967).
- S. Ozekici (Editor). 1990. Queuing Theory and Applications (Proceedings of the Arab School of Science and Technology). Hemisphere Pub; ISBN: 0891169954.
- Saaty, T.L., Elements of Queueing Theory with Applications, McGraw-Hill, NY (1961).
- Sanjay BOSE. 2001. An Introduction to Queueing Systems. Kluwer Academic/Plenum Publishers. Hardbound, ISBN 0-306-46734-8. December 2001. Small portions of
*An Introduction to Queueing Systems*(plus solution manual and sample tests) are available on line - Seelen, L.P., Tijms, H.C., and Van Hoorn, M.H., Tables for Multi-Server Queues, North Holland, NY (1985).
- Sharma, O.P., Markovian Queues, Ellis Harwood, NY (1990).
- Soren Asmussen. 1987. Applied Probability and Queues, John Wiley and Sons. 318 pp. ISBN 0-471-91173-9
- Soren Asmussen. 2000. Ruin Probabilities . World Scientific Publishers.
- Srivastava, H.M., and Kashyap, B.R.K., Special Functions in Queueing Theory and Related Stochastic Processes, Academic Press, NY (1982).
- Stoyan, D., Comparison Methods for Queues and Other Stochastic Models, Wiley, NY (1983).
- Takács, L., Introduction to the Theory of Queues, Oxford University Press, NY (1962).
- Thomas Robertazzi. Computer Networks and Systems: Queueing Theory and Performance Evaluation. Third Edition. 2000. Springer-Verlag. A self-contained 1st year graduate level text in queueing theory and performance evaluation with particular applicability to computer networks and systems. This text contains 158 homework problems. A solutions manual is available to instructors in courses. ISBN:0-387-95037-0. Ordering information for
*Computer Networks and Systems: Queueing Theory and Performance Evaluation*is available - Tijms, H.C., Stochastic Modelling and Analysis: A Computational Approach, NY, Wiley (1986).
- Tijms, Henk C. (1994). Stochastic Models: An Algorithmic Approach. John Wiley & Sons, Chichester.
- Tilt, B. 1981. Solution Manual for R.B. Cooper's Introduction to Queueing Theory. Second Edition. Norht Holland, Elsevier, Amsterdam.
- U. Narayan Bhat, Ishwar V. Basawa (Editor). 1992. Queuing and Related Models . 348 pp. (Oxford Statistical Science Series, No 9) Oxford University Press; ISBN: 0198522339.
- Walrand, J., An Introduction to Queueing Theory, Prentice-Hall, NJ (1988).
- Ward Whitt. STOCHASTIC-PROCESS LIMITS. (An Introduction to Stochastic-Process Limits And their Application to Queues). Springer-Verlag. 2002. 650 pages, hardcover, ISBN: 0-387-95358-2. For information about the book: STOCHASTIC-PROCESS LIMITS
- White, J.A., Schmidt, J.W., and Bennett, C.K., Analysis of Queueing Systems, Academic Press, NY (1975).
- Wolff, R.W., Stochastic Modelling and the Theory of Queues, Prentice-Hall, NJ (1968).

### Other Materials or Selected Topics on Queues

- Adam Shwartz and Alan Weiss. (1995). Large Deviations for Performance Analysis: Queues, Communications, and Computing. Chapman and Hall. 560 pp. ISBN 0-412-06411-5
- Alexander Ost. 2001. Performance of Communication Systems - A Model-Based Approach with Matrix-Geometric Methods . Springer. Berlin, March 2001, ISBN 3-540-41438-X. 290 pages.
- Attahiru S. Alfa, Srinivas R. Chakravarthy (Editors). 1998. Advances in Matrix-Analytic Methods for Stochastic Models. Notable Publications, Inc.; ISBN: 0966584708.
- Boudewijn R. Haverkort. 1998. Performance of Computer Communication Systems : A Model-Based Approach. John Wiley & Sons. ISBN: 0471972282
- Carmichael, D.G., Engineering Queues in Construction and Mining, Ellis-Harwood, West Sussex, England (1987).
- Chakravarthy, S. and Alfa, A.S., editors. 1997. Matrix Analytic Methods in Stochastic Models, 375 pp. ISBN 0-8247-9766-3. Marcel Dekker, Inc.
- Conway, A.E. and Georganas, N.D., 1989. Queueing Networks - Exact Computational Algorithms: A Unified Theory based on Decomposition and Aggregation. 234 pp. MIT Press. Cambridge, MA. ISBN 0-262-03145-0
- D.G. Carmicheal. 1987. Engineering Queues in Construction and Mining. 378 pp. Halsted Press/Ellis Horwood Ltd.
- Daigle, J.N., Queueing Theory for Telecommunications, Addison-Wesley, NY (1992).
- David Jagerman. 2000. Difference Equations with Applications to Queues. Marcel Dekker. Pure and Applied Mathematics Series. Volume: 233. 262 Pages, ISBN: 0-8247-0388-X.
- David Johnson (Editor), Catherine C. McGeoch (Editor). 2001. Priority Queues Dictionaries, and Multi-Dimensional Point Sets Fifth Dimacs Implementation Challenge (Dimacs: Series in Discrete Mathematics). Amer Mathematical Society; ISBN: 0821806890.
- Disney, M., R.L. and Kiessler, P.C., Traffic Processes in Queueing Networks: A Markov Renewal Approach, John Hopkin's University Press, Baltimore, Maryland (1987).
- Edward D. Lazowska, John Zahorjan, G. Scott Graham, Kenneth C. Sevcik. (1984). Quantitative System Performance : Computer system analysis using queueing network models. Prentice-Hall, Englewood Cliffs, N.J. (417 pp.) This book
*Quantitative System Performance : Computer system analysis using queueing network models*is available on line (for free) - Erol Gelenbe, Guy Pujolle. 1998. Introduction to Queueing Networks. 2nd ed. The first edition was 1987. John Wiley Publ. 0-471-96294-5
- F.I. Karpelevich, A. Ya. Kreinin. 1994. Heavy Traffic Limits for Multiphase Queues (Translations of Mathematical Monographs, Vol 137) American Mathematical Society; ISBN: 0821845977.
- Fima C Klebaner (University of Melbourne) (fima@ms.unimelb.edu.au) INTRODUCTION TO STOCHASTIC CALCULUS WITH APPLICATIONS, $48.00 Hardcover - 300 pages (September 1, 1999) Imperial College Pr; ISBN: 186094129X, available amazon.com See Errata .
- G. Latouche, V. Ramaswami. 1999. Introduction to Matrix Analytic Methods in Stochastic Modeling. (Asa-Siam Series on Statistics and Applied Probability). Society for Industrial & Applied Mathematics; ISBN: 0898714257
- Gunter Bolch, Stefan Greiner, Hermann de Meer, Kishor S. Trivedi. 1998. Queueing Networks and Markov Chains : Modeling and Performance Evaluation With Computer Science Applications. 744 pages. John Wiley & Sons; ISBN: 0471193666.
- Harold J. Kushner. 2001. Heavy Traffic Analysis of Controlled Queueing and Communications Networks. Springer. ISBN: 0387952640
- IEEE Standards for Local and Metropolitan Area Networks, 802.6c&H-1993: 1994, ANSI-IEEE Std. 802.6, 1994 Edition, Physical Layer Convergence Procedure (Plcp) for DSI-Based Systems (Clause 12) and Isochronous Service on a Distributed Queue Dual Bus. 40 pp. I E E E Standards Office. ISBN: 155937344X
- IEEE Standards for Local and Metropolitan Area Networks, 802.6j-1995: Supplements to ISO-IEC 8802-6:1994: Connection-Oriented Service on a Distributed Queue Dual Bus (Dqdb) Subnetwork of a Metropolitan Area Network (Man). 64 pp. I E E E Standards Office. ISBN: 1559375450. Nico M. Van Dijk. 1993. Queueing Networks and Product Forms: A Systems Approach. 290pp. John Wiley & Sons. ISBN: 0471928488
- Jewgeni H. Dshalalow (Editor). 1995. Advances in Queuing : Theory, Methods, and Open Problems. 528 pages. CRC Press; ISBN: 084938074X.
- Jewgeni H. Dshalalow (Editor). 1997. Frontiers in Queueing : Models and Applications in Science and Engineering (Probability and Stochastics Series). 480 pp. CRC Press; ISBN: 0849380766.
- Kitaev, Mikhail and Vladimir Rykov. 1995. Controlled Queueing Systems. CRC Press. ISBN 0849328624.
- Kulkarni, Vidyadhar G. (1995). Modeling and Analysis of Stochastic Systems. Chapman & Hall, London.
- Kushner, Harold J. and G. George Yin. Stochastic Approximation Algorithms and Applications. Publisher: Springer-Verlag, New York, 1997
- L.P. Seelen, H.C. Tijms, M.H. Van Hoorn. 1985. Tables for Multi-Server Queues. Elsevier Science Ltd; ISBN: 0444877223
- Panico, J.A., Queueing Theory: A Study of Waiting Lines for Business, Economics and Science, Prentice-Hall, New Jersey (1969).
- Pierre Bremaud. 1999. Markov Chains : Gibbs Fields, Monte Carlo Simulation, and Queues. 480 pages. Springer Verlag; ISBN: 0387985093 (Texts in Applied Mathematics, 31).
- Raif O. Onvural, Ian F. Akyildiz (Editor). 1992. Queuing Networks With Finite Capacity : Proceedings of the Second International Conference on Queueing Networks With Finite Capacity, May 28-29, 1992. North-Holland; ISBN: 0444897720
- Reuven Y. Rubinstein. 1992. Monte Carlo Optimization, Simulation and Sensitivity of Queueing Networks. 260pp. Krieger Publishing. ISBN: 0894647644.
- Richard Conway, William Maxwell, and Louis Miller. 1967. Theory of Scheduling. Addison Wesley. 294 pp. ISBN 0-201-01189-1
- Saadawi, Tarek N., Mostafa H. Ammar, Ahmed El Hakeem. 1994. Fundamentals of Telecommunication Networks. 0-471-51582-5. Wiley Series in Telecommunications and Signal Processing
- Santosh S. Venkatesh. 1999. Data Networking: Theory and Fundamentals. Online book (including a section on queueing). Part of the book has audio available. For the queueing part of
*Data Networking: Theory and Fundamentals*. For the audio portion of*Data Networking: Theory and Fundamentals*. - Technical Council Committee. 1988. Management of Damaging Traffic Queues. Inst of Transportation Engineers; ISBN: 9992961384
- V.V. Kalashnikov and S.T. Rachev. 1990. Mathematical Methods for Construction of Queueing Models. Wadsworth and Brooks. 431 pp. ISBN 0-534-132545
- Vladimir Kalashnikov. 1994. Topics on Regenerative Processes. CRC Press. ISBN 0849386411.
- Wayne Amsbury. 1985. DATA STRUCTURES FROM ARRAYS TO PRIORITY QUEUES. 516 pp. Wadsworth Pub. Belmont, CA.
- William Stallings. High Speed Networks: TCP/IP and ATM Design Principles . 1998. Engineering/Science/Mathematics. 576 pp. ISBN: 0-13-525965-7.
- Winfried K. Grassmann (Editor). 1999. Computational Probability. 504 pages. Kluwer Academic Publishers; ISBN: 0792386175

**Selected Publications**

## Books and book contributions

### Books and book contributions

#### Books

- "
**A First Course in Bulk Queues**"- John Wiley and Sons, Inc., 1983. With J.G.C. Templeton.
- The book was nominated twice for the Lanchester Prize. This prize is awarded by the Operations Research Society of America.
- Reviews appear in:
- J. of Operational Res. Quarterly, pp. 1222‑1223, 1983.
- European J. of Oper. Res. 16, pp. 394‑395, 1984.
- J. of the American Stat. Assoc., pp. 955‑956, 1984.

- "
**An Introduction to Queueing Theory**"- A & A Publications, 1988. With B.R.K. Kashyap.

- Editor: Edited a Special Issue of Selecta Statistica Canadiana Vol. VII, 1987 with J.G.C. Templeton.
- Edited a Special Issue of QUESTA on Numerical Computations in Queues, Vol. 10, 1-2, 1992.

#### Book contributions:

- Invited chapter on "Queuing Problems with MAP and Non-MAP Inputs," Lecture Notes, Seoul National University, Statistical Research Centre for Complex Systems, Seoul, South Korea, July 2001.
- Invited chapter on the topic: "Queue-length distributions at various epochs in discrete-time D-MAP/G/1/N queue and their numerical evaluations," Recent Trends in Mathematical Sciences; Editors: J.C. Misra and S.B. Sinha, Narosa Publishing House, New Delhi, 268-284, 2001
- Invited chapter on the topic: "On numerical computations of some discrete-time queues," Computational Probability: Challenges and Limitations; Editor: W. Grassmann, Kluwer Academic Publishers, 365-408, 1999.
- Invited chapter on the topic "On steady-state distributions of numbers in the queue Geom/G/1 - an alternative approach," Stochastic processes and their applications, Narosa Publishing House, 164-176, 1999.
- Invited chapter on the topic: "Transient behaviour of the discrete-time
*Geom/Geom/m/m*Erlang loss model," Probability Models and Statistics: AJ Medhi Festchrift, Editors: A. Borthakur and H. Choudhury. New age Int., India, 133-145, 1996, - Invited chapter on the topic: "Refinements to the so-called simple approximations..." Kluwer Academic Publishers, Boston, 65-87, 1995.

## Papers published in refereed scholarly journals

### Papers published in refereed scholarly journals

- "Computational analysis of stationary waiting-time distributions of GIX/R/1 and GIX/D/1 queues". Probability in the Engineering and Informational Sciences 19, pp. 121-140, 2005. With D.W. Choi and K.C. Chae.
- "An invariance relation and a unified method to derive stationary queue lengths". Operations Research 52, 756-764, 2004. With Nam K. Kim and Kyung C. Chae.
- "On discrete-time multi-server queues with finite buffer: GI/Geom/m/N". Computers and Operations Research 31, 2137-2150, 2004. With U. C. Gupta and V. Goswami.
- "Complete analytic and computational analyses of the discrete-time bulk-arrival infinite-server system: GIX/Geom/¥". Computers and Operations Research 31, 2119-2135, 2004. With Jin Dong Kim.
- "Analysis of the discrete-time bulk-service queue Geo/GY/1/N+B". OR letters 32, 355-363, 2004. With S. H. Chang.
- "Queue length distributions at various epochs in discrete-time D-MAP/G/1/N queue and their numerical evaluation". International Journal of Information and Management Sciences, 14, 67-83, 2003. With U. C. Gupta.
- "In memory of JGC Templeton". Queueing Systems 45, 281-283, 2003. Also, CORS Bulletin 37, 25-27, 2003.
- "A complete and simple solution for a discrete-time multi-server queue with bulk-arrivals and deterministic service times". OR letters 31, 101-107, 2003. With Nam K. Kim.
- "Waiting-time distribution of discrete-time multi-server queue with correlated arrivals and deterministic service times: D-MAP/D/K". OR letters 30, 174-180, 2002. With Bonk K. Yoon and Kyung C. Chae
- "Analysis of a finite-buffer bulk-service queue with discrete Markovian arrival process: D-MAP/Ga,b/1/N". Naval Res. 50, 345-363, 2003. With U.C. Gupta.
- "Relations among the distributions at different epochs for discrete-time GI/Geom/m and continuous-time queueing", IJIMS, 71-82, 2001. With U.C. Gupta and V. Goswami.
- "Computing waiting-time probabilities in the discrete-time queue: GI(X)/G/1." Perf. Eval, 43, 123-131, 2001. With U.C. Gupta.
- "Modeling and analysis of discrete-time multiserver queues with batch arrivals: GIX/Geom/m," INFORMS J. on Computing, 13, 172-180, 2001. With U.C. Gupta and V. Goswami.
- "Transient solution for the number of busy servers for the discrete-time queue GeomX/G/4 . Sankhy~, 62, . 1-13, 2000.
- "Algorithmic discussions of numbers of busy channels for GI/Geom/m/m queues. INFOR 38, . 51-63, 2000. With U.C. Gupta.
- "Modelling and analysis of M/Ga,b/1/N queue - a simple alternative approach", Queueing Systems, 31, . 95-100, 1999. With U.C. Gupta
- "Transient solutions of multiserver queueing systems with finite spaces", Int. Trans. in OR, 6, . 161-182, 1999. With Y.Q. Zhao.
- "On the steady-state distribution of number in the queue Geom/G/1", Prob. in the Engineering and Informational Sciences, 13, pages 121‑125, 1999.
- "Performance analysis of discrete-time finite-buffer batch-arrival GIX/Geom/1/N queues", Discrete Event Dynamic Systems 8, pages 55-70, 1998, with U.C. Gupta.
- "Queue-length and waiting time distributions of discrete-time GIX/Geom/1 queueing systems with early and late arrivals", Queueing Systems, 25, . 307-334, 1997. With U.C. Gupta
- "On the steady-state queue size distributions of the discrete-time
*GI/G/1*queue," Adv. Appl. Prob., 28, . 1177-1200, 1996. With Tao Yang. - "Analysis of the discrete-time
*GI/Geom(n)/1/N*queue". Computers Math. Applic., 31, . 59-68, 1996. With J.G.C. Templeton and U.C. Gupta. - "On the discrete-time GI/Geom/1 queue". Operations Research Letters, 18, . 247-255, 1996. With U.C. Gupta and J.G.C. Templeton.
- "On the analysis of the discrete-time
*Geom(n)/G(n)/1/N*queue". Prob. in Eng. & Infor. Sc., 10, . 415-428, 1996. With U.C. Gupta. - "Performance analysis of the discrete-time GI/Geom/1/N queue", J. Applied Prob., 33, . 239-255, 1996. With U.C. Gupta.
- "On computations of the mean and variance of the number of renewals: A unified approach", J. Opl. Res. Soc. 46, 1352-1364, 1995.
- "First-passage-time and busy-period distributions of discrete-time Markovian queues: Geom(n)/Geom(n)/1/N", Queueing Systems 18, 5-26, 1994. (Invited paper for the special issue of Queueing Systems)
- "Exact and approximate numerical solutions of steady-state single-server bulk-arrival discrete-time queues GeomX/G/1." Int. J. of Math & Statist. Sci. 62, . 133-185, 1993. (Invited paper.)
- "Alternative numerical solutions of stationary queueing-time distributions in discrete-time queues: GI/G/1". Jl. Opl. Res. Soc. 44, . 1035-1051 1993.
- "Computing steady-state queueing time distribution of single-server queues: GIX/M/1", ZOR 37, . 13-29, 1993. With M. Agarwal and J.G.C. Templeton.
- "Computing stationary queueing-time distributions of GI/D/1 and GI/D/C queues," Naval Res Log. 39, . 975-996, 1992.
- "Exact computational analysis of waiting‑time distributions of single‑server bulk‑arrival queues MX/G/1". Europ. J. of Opns. Res. 63, . 445-462, 1992. With U.C. Gupta.
- "Computational analysis of multiserver bulk‑arrival queues with constant service time MX/D/C". ORSA 40, . 229-238 (Supp. 2), 1992. With J.G.C. Templeton and J. Medhi.
- "Computational aspects of bulk‑service queueing system with variable capacity and finite waiting space: M/GY/1/N + B". J. Opns. Res. Soc., Japan, 34, . 404-421, 1992. With U.C. Gupta and B.R. Madill.
- "Computational analysis of the distribution of number in the system MX/G/1" ‑ An alternative approach. INFOR, 30, . 30-42, 1992. With U.C. Gupta and M. Agarwal.
- "Exact and approximate numerical solutions of steady-state distributions arising in the queue GI/G/1" - Queuing Systems, 10, . 105-152, 1992. With M. Agarwal and J.G.C. Templeton. (Invited Paper)
- "Exact and approximate solutions to steady-state single-server queues: M/G/1 - a unified approach." Queuing Systems, 10. 351-380, 1992. With U.C. Gupta and M. Agarwal.
- "Detailed computational analysis of buffer behavior with Poisson arrivals and bulk geometric service." SCIMA, . 33-43, 1991. With U.C. Gupta.
- "Numerical issues in computing steady-state queueing-time distributions of single-server bulk-service queues: M/Gb/1 and M/Gd/1". ORSA J. on computing 4, 300-310, 1991.
- "On exact computational analysis of distributions of numbers in system for M/G/1/N + 1 and GI/M/1/N + 1 queues using roots." Comput. & Opns. Res., Vol. 18, . 679-694, 1991. With M. Agarwal and U.C. Gupta.
- "Robustness of root‑finding in queueing". ORSA Journal on Computing, 2, 273‑286, 1990. With C.M. Harris and W.G. Marchal.
- "Computational analysis of single‑server bulk‑service queues ‑ M/GY/1" ‑ Advances in Applied Probability 21, 207‑225, 1989. With G. Brière.
- "Computational Analysis of single‑server bulk‑arrival queue MX/G/1" ‑ Compt. & Opns. Res. 15, 283‑292, 1988. With G. Brière.
- Letter to the editor of Tamkang journal of Management Sciences, vol. 9, 41, 1988.
- Errata: "Analyzing the steady‑state queue GIX/G/1" ‑ J. Oper. Res. Soc., 1987. With D. Yao and J.G.C. Templeton.
- Letter to the editor ‑ Policy and Information 11, 129, 1987.
- "On a two‑heterogeneous‑server Markovian queue with general bulk service rules" ‑ Sankhyā: TIJS, 49, Ser. B, 36‑50, 1987. With J. Medhi, S.H. Sim, and J.G.C. Templeton.
- "Relations among moments of waiting time and queue size distributions in bulk queueing systems" ‑ Cal. Statist. Assoc. Bulletin 36, 63‑68, 1987. With S. Madan and A. Ghosal.
- "Software package for the queueing system MX/G/1", Oper. Res. Letters 6, 195‑196, 1987. With Alnoor Hasham.
- "Computational analysis of single‑server bulk‑arrival queues: GIX/M/1" ‑ QUESTA vol. 2, 173‑185, 1987. With G. Brière.
- "Computational analysis of steady‑state probabilities of M/Ga,b/1 and related non-bulk queues" ‑ QUESTA, vol. 2, 93‑113, 1987. With B.R. Madill and G. Brière.( Invited paper)
- "Numerical analysis for a bulk‑arrival queueing system: root finding and steady‑state probabilities in GIR/M/1 queues" ‑ Annals of Opns. Res., vol. 8, 307‑320, 1987. With J.L. Jain and J.G.C. Templeton.
- "On the form of the system size distribution for some bulk‑arrival queueing systems" ‑ SCIMA, vol. 16. With A. Ghosal, B.R.K. Kashyap and S. Madan, 1987.
- "Probabilities and some measures of efficiency in the queueing system GI/Ma,b/1" ‑ Selecta Statistica Canadiana VII, 53‑75, 1987. With B.R. Madill.
- "Waiting time distributions in the queueing system GI/Ma,b/1" ‑ INFOR, vol. 24 , 309‑318, 1986.
- Rejoinder to Neuts' letter ‑ Comput. & Opns. Res., vol. 13, 735‑736, 1986.
- "On the Diophantine queueing system D/Da,b/1" ‑ J. Oper. Res. Soc., vol. 36, 531‑535, 1985. With B.R. Madill and P.G. Buckholtz.
- "A single‑server bulk‑service queue with variable capacity and Erlang input" ‑ INFOR, vol. 23, 196‑204, 1985. With N.S. Kambo.
- "On distributions of waiting and idle times of two related bulk‑service queues" ‑ Sankhya~ vol. 46, 1‑9, 1984. With N.S. Kambo.
- "On two bulk‑service queueing models" ‑ J. Infor. Opt. Sci., vol. 5, 279‑292, 1984. With N.S. Kambo.
- "Distribution of busy period for the bulk‑service queueing system Ek/Ma,b/1" ‑ Comput. and Ops. Res., vol. 11, 267‑274, 1984. With N.S. Kambo.
- "Analyzing the Steady‑State Queue GIX/G/1" ‑ J. Op. Res. Soc., vol. 35, 1027‑1030, 1984. With D. Yao and J.G.C. Templeton.
- "Some numerical results for the queuing system GIX/M/1" ‑ Euro. J. Operat. Res., vol. 18, 133‑136, 1984. With M.J.M. Posner and G.D. Easton.
- "Some corrected results for the queue GIX/M/1" ‑ Euro. J. Operat. Res., vol. 18, 131-132, 1984. With G.D. Easton and M.J.M. Posner.
- "A note on some relations in the queue GIX/M/c" ‑ Operat. Res. Letters, vol. 3, 53‑55, 1984. With D. Yao and J.G.C. Templeton.
- "On bounds for bulk‑arrival queues" ‑ Europ. J. Operat. Res., vol. 15, 237‑243, 1984. With D. Yao and J.G.C. Templeton.
- "On the number in the non‑homogeneous service system MX/M(t)/4 ", Opsearch, vol. 20, 167‑169, 1983. With B.R.K. Kashyap.
- "On the service system MX/G/4 " ‑ Europ. J. Operat. Res., vol. 13, 142‑145, 1983. With D.F. Holman and B.R.K. Kashyap.
- "A new method to solve steady‑state queueing equations" ‑ Naval Res. Logist. Quart., vol. 29, 461‑473, 1982. With W.K. Grassmann.
- "On the number in the system GIX/M/4 " ‑ Sankhy~ vol. 44, Ser. A, pt. 1, 294‑297, 1982. With D.F. Holman and B.R.K. Kashyap.
- "The queueing system Ek/Ma,b/1 and its numerical analysis" ‑ Comput. and Ops. Res., vol. 9, 197‑205, 1982. With G.D. Easton.
- "Some results for the general bulk service queueing system" ‑ Bull. Austral. Math. Soc., vol. 23, 161‑179, 1981. With D.F. Holman and A. Ghosal.
- "The queueing system M/GB/1 and its ramifications" ‑ Europ. J. Operat., Res., vol. 6, 56‑60, 1981.
- "Some results for the queueing system EkX/M/c" ‑ Naval Res. Logist. Quart., vol. 2, 217‑222, 1980. With D.F. Holman and W.K. Grassmann.
- "Further results for the queueing system MX/M/c" ‑ J. Oper. Res. Soc., vol. 30, 755‑763, 1979. With M.V. Cromie and W.K. Grassmann.
- "The queueing system MX/G/1, and its ramifications" ‑ Naval Res. Logist., vol. 26, 667‑674, 1979. With M V Cromie and W K Grassmann
- "Analytically explicit results for the queueing system M/MX/c with charts and tables for certain measures of efficiency" ‑ Oper. Res. Quart., vol. 27, 733‑745, 1976. With M.V. Cromie.
- "Transient/steady‑state solution of a single channel queue with bulk arrivals and intermittently available server" ‑ ZMOS, vol. 5, 307‑314, 1974.
- "Bounds for the least positive root of a characteristic equation" ‑ INFOR, vol. 11, 177‑179, 1973. With J.G.C. Templeton.
- "On the discrete‑time queue length distribution under Markov‑dependent phases" ‑ Naval. Res. Logist. Quart., vol. 19, 369‑378, 1972.
- "A note on the distribution of a busy period for M/M/c queuing system" ‑ Mathemat. Operations. Stat., vol. 4, 75‑79, 1973. With J.G.C. Templeton.
- "Single channel constant capacity bulk service queuing process with an intermittently available server" ‑ INFOR, vol. 10, 284‑291, 1972. With A.M. Lee.
- "The theory of bulk‑arrival bulk‑service queues" ‑ Opsearch, vol. 9, 103‑121, 1972. With J.G.C. Templeton. (This is an extended study, which unifies the results of many authors.)
- "On the discrete‑time queue length distribution in a bulk service system considering correlated arrivals" ‑ J. of the Canad. Operat. Res. Soc., vol. 6, 79‑88, 1968.
- "Queuing problems with correlated arrivals and service through parallel channels"‑ J. of the Canad. Operat. Res. Soc., vol. 5, 35‑46, 1967.
- "Limited space queuing with arrivals correlated" ‑ J. of the Roy. Nav. Scient. Service, vol. 21, 272‑278, 1966.
- "Some queueing problems with phase‑type service" ‑ Opns. Res., vol. 14,466‑477, 1966.
- "Correlated queueing" ‑ J. of the Canad. Operat. Res. Soc., vol. 3, 142‑151, 1965.

#### Abstracts:

- "Teaching and research in Statistics and their numerical analysis" ‑ abstracted in Calcutta Association Bulletin 30, 223‑224, 1981.
- "Synthesis of some bulk queueing systems and their numerical analysis" ‑ abstracted in the Souvenir edition of the 3rd Annual conference of the Indian Society for theory of probability and its applications, August 22‑24, 1981.

## Papers published in conference and symposium proceedings

### Papers published in conference and symposium proceedings

- "Numerical evaluation of state probabilities at different epochs in multiserver GI/Geom/m queue," Proceedings of the IISA conference held at McMaster, January 1999. With U.C. Gupta.
- "On the steady-state distributions of numbers in the queue GeomX/G/1 - an alternative approach," to appear in the proceedings of the International Conference on Stochastic Processes and their Applications held in Cochin, Dec 17-19, 1999.
- "On the steady-state distributions of numbers in the queue Geom/G/1: An alternative approach", Proceedings of the international conference on Stochastic Processes and their Applications, Madras, 164-176, 1998.
- "On the finite-buffer queueing system with bulk service: M/G(a,b)/1/b", proceedings of silver jubilee conference of the Society of Management Science and Applied Cybernetics, 12-13 Jan 1998.
- "Refinements to the so-called simple approximations for the bulk-arrival queues
*mX/G/1*," The impact of emerging technologies on computer science and operations research, Kluwer Academic Publishers, 65-87, 1995, Boston. - "Using roots to compute availability," Proceedings of the ISSAT International Conference on Reliability and Quality Control in Design, 43-46. March 1994, Seattle, With Y. Zhao
- "Finding the first two moments of the number of renewals," Proceedings of the ISSAT International Conference Nov 4-6, 268-271, 1992, Washington.
- "Steady‑state Analytic and Algorithmic Results on the Queueing System ‑ GI/M(a, b)/c" Proceedings of the seminar On Stochastic Modelling in Decision making held at the University of Delhi, 118-137, 1990. With B.R. Madill.
- "Marriage between the supplementary variable technique and the imbedded Markov chain technique" ‑ Trans. of the 8th Prague Conf., Vol. A, 133‑141, 1978.

## Papers presented at major conferences and symposia, and notable invited lectures

### Papers presented at major conferences and symposia, and notable invited lectures

- "On Queueing-Time Distributions in GI/D/1 and GI/D/c Systems in Discrete-Time", CORS 2002 Annual Conference, Toronto. June 2002. Co-authors: B.R.K. Kashyap, J. D. Kim.
- "A Unified Way of Deriving Stationary Queue Lengths for a Broad Class of FIFO Queues", CORS 2002 Annual Conference, Toronto. June, 2002. INVITED. Also, presented an invited talk at the local CORS Section, Kingston. May 2002. Co-authors: N. K. Kim, K. C. Chae
**.** - Invited talk: "Analytic and Computational Analyses of Discrete-Time Bulk-Service Queues with Variable Capacity and Finite and Infinite Waiting Spaces: Geo/G(Y)/1/M+B and Geo/G(Y)/1/infinity", CORS 2002 Annual Conference, Toronto. June 2002.
- Invited lecture: "Queueing Problems with MAP and Non-MAP Inputs," 1st Seoul International Workshop on Queueing Theory, South Korea, 16-18 July 2001,
- Invited lecture: "Analysis of finite-buffer queue with discrete-Markovian arrival process: D-MAP/Ga,b/1/N," International Conference on Recent Developments in Statistics and Probability and their Applications, Delhi., Dec. 30, 2000-January 2, 2001.
- Invited lecture: "Queue length distributions at various epochs in discrete-time D-MAP/G/1/N queue and their numerical evaluations," International Conference on Recent Advances in Mathematical Sciences, 11T, Kharagpur, December 20-22, 2000.
- Invited talk: "Analysis of a finite-buffer bulk-service queue with discrete-time Markovian arrival process: D-MAP/G(a,b)/1/N", 2000 INFORMS-KORMS Seoul International Meeting, June 18-21.
- Invited talk: "On the steady-state distributions of the numbers in the queue GeomX/G/1," 15th Triennial Conference of IFORS, Beijing, 16-20 August, 1999.
- Invited talk: "Transient solution for the number of busy servers for the discrete-time queue Geom(X)/G/4," 15th Triennial Conference of IFORS, Beijing, 16-20 August, 1999.
- Invited talk: "On steady-state distributions of numbers in the queue Geom(X)/G/1 - An alternative approach," April 9, 1999, Queen's University. Also, given as a plenary talk at the International Conference on Stochastic Processes and their Applications, Cochin, 17-20 December 1999.
- Plenary talk: "Modelling of discrete-time Queues - Recent advances and numerical computations" , International Conference on Stochastic Processes and Their Applications, Chennai, Jan 8-10, 1998.
- Invited talk: "Performance analysis of discrete-time finite-buffer batch arrival GI/Geom/1/N queues", Indian Science Congress, Jan 2-8, 1998.
- Invited talk: "Recent advances in discrete-time queues", University of New South Wales, Australia, Dec 10,1997.
- "Relations among limiting distributions of the number of customers at different epochs in discrete and continuous-times multiserver queues: GI/Geom/m and GI/M/m" , APORS Conference, Melbourne, Nov 29 - Dec 3 1997.
- Plenary talk was given on the topic: "Transient solution of Markov chains having lower Heesenberg transition probability matrices and their applications," International Conference on Stochastic Processes, Cochin, Dec 25-28, 1996. Also, chaired a session.
- Invited talk: "Queue-length and Waiting-Time Distributions of Discrete-Time GI(X)/Geom/1 Queueing Systems with Early and Late Arrivals," 14th IFORS Conf. 8-12 July, 1996.
- Invited talk: "On the Analysis of the Discrete-Time Geom(n)/G(n)/1/N Queue," Conference Optimization Days, 13-15 May, 1996.
- Invited talk: "Transient Solutions of Markov Chains Having Lower Hessenberg Transition Probability Matrices and their Applications," Int. Conf. on Pure and Applied Mathematics, November 1995.
- "On the relations among the distributions at different epochs for the discrete time GI/Geom/1," INFORMS International Conference, Singapore, June 28, 1995.
- "Explicit results for the transient solution of M(n)X(n)/M(n)/1/N," with JCW Van Ommeren, INFORMS International Conference, Singapore, June 28, 1995.
- "On the relations among the distributions at different epochs for the discrete time GI/Geom/1 queue with JGC Templeton," Management School of Xian Jiaotong University, Xian, China, 17 June 1995.
- "On the queueing system GI(X)/Geom/1," Institute of Applied Mathematics, The Chinese Academy of Sciences, China, June 14, 1995.
- Invited lecture: "On computations of the mean & variance of the number of renewals: A unified approach," University of Science & Technology, Hong Kong, June 8, 1995.
- "On steady-state queue-size distributions of the discrete-time GI/G/I," with T. Yang, International summer workshop on computations in single server queues, Hong Kong, June 22, 1995.
- "Queue length and waiting time distributions of queueing systems with early and late arrivals," with U.C. Gupta, International summer workshop on computations in single server queues, Hong Kong, June 22, 1995.
- "First-passage-time and busy-period distributions of discrete-time Markovian queues: Geom(n)/Geom(n)/1/N, CORS and optimization days, May 30-June 1, 1994.
- "Simple and explicit transient solutions of discrete-time Markovian queues: Geom(n)/Geom(n)/r/N," International Conference on Stochastic Processes and their Applications, The Netherlands, June 21-25, 1993.
- "On exact computations of the mean and variance of the number of renewals: a unified approach," INRIA/ORSA/TIMS/SMAI International Conference, France, June 16-18, 1993.
- "Finding the first two moments of the number of renewals," IASTED, International Conference, Washington, Nov. 4-6, 1992.
- "Numerical computations of transient solutions in discrete-time for a class of problems in queueing theory," - Queueing-Day Conference, University of Toronto, June 3, 1992.
- "Computing Moments in the M/D/C System," CORS 1992 Conference, June 1-3, 1992.
- "Numerical Solutions of bulk-service queueing system: M/Gy/1/N+B", TIMS/ORSA Joint Conference, April 26-29, 1992.
- "Finding roots of polynomial and transcendental equations," University of Western Ontario, April 23, 1992.
- Invited talks given at the Universidada de Estadual de Campinas during the period July 18-21, 1991.
- "Exact computational analysis of distributions of numbers in systems for the M/G/I/N + 1 and GI/M/I/N + 1 Queues using roots", TIMS International Conference, Rio de Janeiro, July 15-17, 1991.
- "Stationary queueing‑time distribution in GI/R/1 systems: Explicit closed‑form analysis and exact computational results" , ORSA/TIMS Conference, October 29‑31, 1990.
- "Computational analysis of the number in system and waiting‑time distributions in M/G/1" , CORS National Meeting, Ottawa, May 22‑24, 1990.
- "Computational analysis of the number in system and waiting‑time distributions in MX/G/1 queues" , TIMS/ORSA Joint Conference, May 7‑9, 1990.
- "Numerical rootfinding problems in probability modeling" , ORSA/TIMS Joint Conference, Oct. 16‑18, 1989.
- "Computational analysis of steady‑state queueing time distribution in discrete GI/G/1 queueing systems" , ORSA/TIMS Joint Conference, Oct. 16‑18, 1989.
- "Robustness of rootfinding in Queueing" , CORS/ORSA/TIMS Vancouver Joint Conference, May 8‑10, 1989.
- Invited address titled, "Computing roots of a characteristic equations occurring in queueing and other stochastic processes" , International Conference on Computing and Information Science, McMaster University, April 23‑29,1989.
- "Explicit results for the waiting time distribution in GI/G/1 queueing systems" , Ontario Math meeting, Kingston, Ontario, October 1988.
- "Computational analysis and PC demostration of GIX /M/1 and GI/Er/1, M/GY/1 and Er/G/1" , ORSA/TIMS Denver Conference, October 23‑26, 1988.
- "Exact computations of system size distribution for single‑server bulk queues with random batch size and large parameter values" , a special interest conference on analysis and control of large scale stochastic systems, North Carolina, 23‑25 May, 1988.
- "PC demonstration of the queueing system MX/D/c", TIMS/ORSA conference, Washington, D.C., April 25‑27, 1988.
- "Distributions of waiting times in models GIX/M/1 and GI/EX/1", TIMS / ORSA conference, Washington, D.C., April 25‑27, 1988.
- "PC demonstration of a queueing system" , ORSA/TIMS conference, St. Louis, October 25‑28, 1987.
- "Computational analysis of single‑server bulk‑service queues: M/GY/1" , 1st International conference on Industrial and Applied Mathematics, Paris, France., June 29 ‑ July 3, 1987.
- "Computational Experience with Bulk Queues" , The special interest conference on queueing networks and their applications,New Brunswick, NJ, January 7‑9, 1987
- "PC programme demonstration: GIX/M/1", International TIMS XXVII conference, Australia, July 21‑23, 1986. With G. Brière.
- "Numerical results for queueing model GIX/M1", International TIMS XXVII conference, Australia, July 21‑23, 1986 With G. Brière.
- Invited paper: "Steady‑state results on a multiserver queueing system", Los Angeles TIMS/ORSA joint meeting, April 14 ‑ 16, 1986.
- "An approximation for some bulk queuing systems" , 75th Ontario mathematics meeting, McMaster University, Feb. 14‑15, 1986.
- "Computational analysis of single‑server bulk‑arrival queues MX/G/1", EURO VII congress, June 16‑25, 1985
- Invited talk: "Computational analysis of single‑server bulk‑arrival queues", Applied Probability Group of ORSA/TIMS, January 7 ‑ 9, 1985.
- "Steady‑state probabilities of some bulk and nonbulk queues; computer results with high parameter values" , XXVI International meeting of TIMS, June 17 ‑ 21, 1984.
- Invitation to give a talk at the Asian Congress on Management Science, cybernetics and General Systems was declined. Congress was held in Delhi, January 12 ‑17, 1984.
- Invited lecture was given at the XIII international Conference on Stochastic Processes and Their Applications Banaras, December 17 ‑ 21, 1983.
- "On two bulk‑service queueing models" , VI EURO Congress, Vienna, July 19 ‑ 22, 1983.
- Invited paper: "On the queueing system GI/Ma,b/1" was presented at TIMS/ORSA meeting, Chicago, April 25 ‑ 27, 1983. With B.R. Madill.
- Invited talk : "On the versatility of the supplementary variable technique," Department of Mathematical Sciences, McMaster University, February 3, 1981.
- Invited paper: "The queueing system Ek/M(a,b)/1 and its numerical analysis" , CORS‑TIMS‑ORSA joint meeting, Toronto, May 3 ‑ 6, 1981. Co‑authored with G. Easton was presented.
- "On the number in the system GIX/M/1", EURO IV Congress, Cambridge, England, 1980.
- Invited talk : "On the link between the supplementary variable technique and the imbedded Markov chain technique," Department of Industrial Engineering, University of Toronto, November 26, 1980.
- "A unified approach to some results for the queueing system M/Ga,b/1" , XXIV international meeting of the Institute of Management Sciences, Honolulu, June 18 ‑ 22, 1979.
- "Some results for the queueing system EXb/M/c", EURO III Congress on Operations Research, Amsterdam, April 9 ‑ 11, 1979.
- Invited talk: "Some single server queueing systems with bulk arrivals or bulk services and their ramifications.", Department of Management Sciences, University of Waterloo, February 9, 1979.
- "The queueing system MX /G/1 and its ramifications", 50th Ontario Mathematics meeting, Waterloo, February 10, 1979.
- Invited talk: "Marriage between the supplementary variable technique and the Imbedded Markov Chain technique", Indian Institute of Technology, Bombay, India, on August 21, 1978. This paper was also presented at the eighth Prague Conference, August 28 to September 1, 1978.
- "The queueing system M/G/1" (with bulk service) in continuous time and its relation to the corresponding imbedded Markov Chain results", The joint national meeting of ORSA/TIMS, San Francisco, May 9‑11, 1977.
- "The queue M/GB/1", 40th Ontario Mathematics Meeting, October 1976.
- "Further discussions of the results on the queueing systems MX/M/C", The joint meeting of ORSA/TIMS, Las Vegas, November 1975. Co‑author: M.V. Cromie.
- "Further results on the queueing systems M/MX/C", The joint meeting of ORSA/TIMS, Chicago, April 1975. Co‑author: M.V. Cromie.
- Invited lecture was given at the Department of Management Sciences, University of Waterloo, 1973.
- Invited lecture was given at the Department of Mathematics, Queen's University, 1973.
- Invited lectures were given at the Department of Mathematics, Indian Institute of Technology, India, during the summer, 1971.
- "On the distribution of a number in a dual bulk queue", Department of Mathematics, Queen's University, 1970.
- A series of lectures was given to the staff and the graduate students of the Department of Industrial Engineering, University of Toronto, during the summer, 1970.
- "Queueing problems with heterogeneous service phases", summer research institute, Queen's University, 1968.
- "Queueing problems with arrivals depending on queue length and departures correlated", 53rd session of the Indian Science Congress, 1966.