Ravi R. Mazumdar
Professor
School of Electrical & Computer Engineering
MSEE Building, Room 342
Purdue University
West-Lafayette, IN 47907-1285
Email: mazum@ecn.purdue.edu
Ph: 1-765-494-1739
Fax: 1-765-494-3558

Education

Ravi Mazumdar was born in Bangalore, India. He obtained the B.Tech. in Electrical Engineering from the Indian Institute of Technology, Bombay, India in 1977, the M.Sc. DIC in Control Systems from Imperial College, London, U.K. in 1978 and the Ph.D. in Systems Science from the University of California, Los Angeles, USA in 1983.

Experience

In 1978-79 he was employed with GEC Electrical Projects Ltd., Rugby, U.K. From April 1983-Oct. 1983 he was a Member of Technical Staff, AT&T Bell Laboratories, Holmdel, N.J. He has held visiting appointments at UCLA (1983-84), University of Twente, Enschede, The Netherlands (Fall 1984), Indian Institute of Science, Bangalore (Fall 1994) and the Ecole Nationale Superieure des Telecommunications, Paris (1995). From 1985-1988 he was an Assistant Professor in the Department of Electrical Engineering, Columbia University, New York where he was also a member of the Center for Telecommunications Research. From 1988-96 he was a Professor at INRS-Telecommunications, Montreal- a graduate research institute affiliated to the Universite du Quebec as well as held an invited appointment in the Department of Electrical Engineering, McGill University, Montreal. In September 1996 he joined the Department of Mathematics, University of Essex, Colchester, U.K. as Professor of Stochastic Systems and Operational Research. Since August 1999 he has been on the faculty of Purdue University as Professor of Electrical and Computer Engineering.

He has been a consultant ("expert scientifique") to CNET (France-Telecom) from January 1994 to September 1996. He has been and is involved in many conferences including IEEE INFOCOM, International Teletraffic Congress (ITC) and IFIP Broadband Communication.

He is a Fellow of the Royal Statistical Society. He is also a Senior Member of the IEEE, and member of the working groups WG6.3 and 7.1 of IFIP.

Research Interests

Applied probability and stochastic analysis focussing on applications in telecommunication networks and statistical signal processing. Primary interests are in the modelling, traffic, optimization and pricing issues in high-speed networks which include ATM, internet and wireless; and in multi-resolution methods for statistical signal processing. Other interests include financial mathematics, stochastic control and filtering, learning and adaptive control of complex systems, applications of game theory in networks and applied stochastic processes.

Teaching

List of Publications (last 5 years)( here is a complete list)

Refereed Journals
  1. Dube, P. Guillemin, F., and Mazumdar, R.R.; Scale functions of Levy Processes and Busy Periods of Finite Capacity M/GI/1 queues, Journal of Applied Probability, Dec. 2004, to appear.
  2. Mhatre, V., Rosenberg, C., Kofman, D., Mazumdar, R., and Shroff, N. B.; A Minimum Cost Heterogeneous Sensor
    Network with a Lifetime Constraint, IEEE Trans. on Mobile Computing, 2004, to appear.
  3. Guillemin, F. and Mazumdar, R.; Rate conservation laws for multidimensional processes of bounded variation with applications to priority queueing systems, Methodology and Computing in Applied Probability, Vol. 6, 2004, pp. 136-159.
  4. Ozturk, O., Mazumdar, R. R., and Likhanov, N.; Many sources asymptotics in networks with small buffers, Queueing Systems (QUESTA), Vol. 46, Nos. 1-2, 2004, pp.129-147
  5. Likhanov, N., Mazumdar, R. and Ozturk, O.;  Large buffer asymptotics for fluid queues with heterogeneous M/G/infty Weibullian inputs, QUESTA,  Vol. 45, 2003, pp. 333-356.
  6.  Guillemin, F.,  Mazumdar, R., Dupuis, A. and Boyer, J.;  Analysis of the fluid weighted fair queueing system, Journal of Applied Probability,  40 (2003), no. 1, pp. 180-199
  7. Delas, S., Mazumdar, R. R., and Rosenberg, C.; Tail asymptotics for HOL priority queues handling a large number of independent stationary sources,  Queueing Systems (QUESTA),  Vol. 40,  2002, pp. 205-226.
  8. Likhanov, N. and Mazumdar, R.; Loss in large buffers fed by a heterogeneous long-tailed sources, Advances in Applied Probability, Vol. 32, No. 4, Dec. 2000,  pp. 1168-1189
  9. Yaiche, H., Mazumdar, R. R. and Rosenberg, C.; A game-theoretic framework for bandwidth allocation and pricing in broadband networks, IEEE/ACM Trans. on Networking,  Vol. 8, No. 5, Oct. 2000, pp. 667-678.
  10. Likhanov, N. and Mazumdar, R.; Cell loss asymptotics for buffers fed with a large number of independent stationary sources, Journal of Applied Probability, Vol. 36, No. 1, 1999, pp. 86-96.
  11. Mazumdar, R. and Bagchi, A.; A representation result for nonlinear filter maps in a white noise framework, IEEE Trans. Automatic Control, Vol. 44, No. 1, 1999, pp. 124-128.
Papers in Edited Volumes
  1. Likhanov, N. , Mazumdar, R. R. and Theberge, F.; Providing QoS in Large Networks: Statistical multiplexing and admission control, in Analysis, Control and Optimization of Complex Dynamic Systems , E.K. Boukas, R. Malhamé eds., Kluwer, 2004, to appear.
  2. Guillemin, F.M., Likhanov, N., Mazumdar, R.R., Rosenberg, C. P., and Ying, Y.; Buffer overflow bounds for multiplexed regulated traffic streams, in  Providing  QoS in Heterogeneous Environments, International Teletraffic Congress 18, Elsevier science, July 2003 (pdf).
  3. Yaiche, H., Mazumdar, R. and Rosenberg, C.; A game theoretic framework for bandwidth allocation and pricing of ABR services in ATM networks,in Broadband'98, P. Kuehn, R. Ulrich eds.; Chapman and Hall, 1998.
  4. Theberge, F., Guillemin, F. and Mazumdar, R.; Modelling and performance of ATM ABT with delayed transmission, in Teletraffic contributions for the information age, 15th ITC ,Washington, D.C., V. Ramaswami and P. E. Wirth eds., Elsevier Science, 1997,pp.435-444.
Other Papers (Submitted or in Preparation)
  1. Piera, F., Mazumdar, R. R. , and Guillemin, F. M.; On product-form stationary distributions for reflected diffusions with jumps in the positive orthant, submitted April 2004.
  2. Ozturk, O, Mazumdar, R. R., and Likhanov, N. B.; Buffer occupancy asymptotics in networks with heterogeneous long-tailed inputs, submitted to Computer Networks, Special Issue on Long-range Dependence in Traffic.
  3. Piera, F., Mazumdar, R. R., and Guillemin, F.M.; On local times and boundary properties of reflected diffusions with jumps in the positive orthant, submitted Dec. 2003.
  4. Sharma, G. and Mazumdar, R. R.; Delay and capacity tradeoffs for wireless ad hoc networks with random mobility, submitted October 2003.
  5. Ozturk, O. and  Mazumdar, R.; Asymptotics of GPS Networks with Small Buffers Handling Many Traffic Sources, submitted Oct. 2003.
  6. Lee, J-W, Mazumdar, R. R., and Shroff, N.B.; Joint resource allocation and base-station assignment for the downlink in CDMA networks, submitted Jan. 2003 (pdf).
  7. Lee, J-W, Mazumdar, R. R., and Shroff, N.B.; Downlink power allocation for multi-class wireless systems, submitted to IEEE/ACM Transactions on Networking, Sep., 2002.
  8. Dube, P. and Mazumdar, R.; A framework for the quickest detection of traffic anomalies in networks, submitted Nov. 2001 (pdf)
  9. Kotopoulos, C. and Mazumdar, R.; Buffer occupancy and delay asymptotics in multi-buffered systems with GPS handling a large number of independent traffic streams, submitted March 2002 (pdf).
  10. Kotopoulos, C., Likhanov, N. and Mazumdar, R.;  Buffer overflow asymptotics in systems with HOL service priorities and heterogeneous longtailed traffic, in preparation
  11. Kotopoulos, C., Likhanov, N. and Mazumdar, R.; Asymptotics of buffers fed with heterogeneous longtailed traffic and GPS service schedules, in preparation
Refereed Conferences
 
  1. Nurdin, H., Mazumdar, R. R., and Bagchi, A.; On estimation and compression of distributed correlated signals with incomplete observations, Mathematical Theory of Networks and Systems (MTNS 2004), Leuven, Belgium, July 2004.
  2. Sharma, G. and Mazumdar, R. R.; Scaling laws for capacity and delay in ad hoc wireless networks with random mobility, ICC 2004, Paris, June 2004.
  3. Sharma, G. and Mazumdar, R.; On Achievable Delay/Capacity Trade-offs in Mobile Ad Hoc Networks, WiOpt 2004, Conference on Wireless Networks and Optimization, Cambridge, UK, March 2004.
  4. Lee, J-W, Mazumdar, R., and Shroff, N.; Opportunistic power scheduling for multi-server wireless systems with minimum performance constraints, Infocom 2004, Hong Kong, to appear.
  5. Lee, J-W,  Mazumdar, R., and Shroff, N.; Non-convexity Issues for Internet Rate Control with Multi-class Services: Stability and Optimality,  Infocom 2004, Hong Kong, to appear.
  6. V. Mhatre, C. Rosenberg, D. Kofman, R. Mazumdar, and N. Shroff, “Design of Surveillance Sensor Grids with a Lifetime Constraint”, 1st European Workshop on Wireless Sensor Networks (EWSN), Berlin, Jan 2004. (a pdf version of the paper can be found at: http://dynamo.ecn.purdue.edu/~cath/publications.html)
  7. Dube, P., Guillemin, F. and Mazumdar, R.; Scale functions of Levy processes and busy period distributions of finite dam M/G/1 queues, invited paper Allerton Conference, Illinois, Oct. 2003.
  8. Ozturk, O., Mazumdar, R. and Likhanov, N.;  Many sources asymptotics for a feedforward network with small buffers, Proceedings of the Allerton Conference 2002, Montecello, Ill. , Oct. 2002 (pdf)
  9. Lee, J-W., Mazumdar, R. and Shroff, N.B.;  Downlink power allocation for multi-class CDMA wireless networks, Proceedings of the INFOCOM'2002, N.Y.,  June 2002 (pdf).
  10. Guillemin, F., Likhanov, N., Mazumdar, R. and Rosenberg, C.; Extremal traffic and bounds on the mean delay of multiplexed regulated traffic streams,  Proceedings of the INFOCOM '2002, N.Y.,  June 2002 (pdf)
  11. Guillemin, F. and Mazumdar, R.; Extremal traffic and bounds on the loss probability in buffers fed with regulated traffic, Proceedings of the Allerton Conference (Invited paper), Allerton, Montecello, Ill, Oct. 2001
  12. Kotopoulos, C., Likhanov, N. and Mazumdar, R.; Overflow asymptotics in GPS systems with heterogeneous longtailed inputs, Proceedings of the IEEE INFOCOM'2001, Anchorage, April 2001
  13. Likhanov, N. and Mazumdar, R.; Loss in large buffers with heterogeneous longtailed sources, Proceedings of the IEEE INFOCOM'2000, Tel Aviv.
  14. Yaiche, H., Mazumdar, R. and Rosenberg, C.; Distributed algorithms for fair bandwidth allocation in broadband networks, Proceedings of the IEEE INFOCOM'2000, Tel Aviv.
  15. Delas, S., Mazumdar, R. and Rosenberg; Cell loss asymptotics in large buffers with HOL service, Proceedings of the IEEE INFOCOM'99, N.Y.
  16. Likhanov, N. and Mazumdar, R.; Cell loss characteristics in buffers handling a large number of stationary sources, IEEE INFOCOM'98, San Francisco, March1998.

Grants and Contracts