Some Publications of P. R. Kumar
Monograph
Preprints or Articles under Review
-
James Morrison and P. R. Kumar,
``Linear programming performance
bounds for Markov chains with polyhedrally translation invariant
transition probabilities and applications to unreliable manufacturing
systems and enhanced wafer fab models.''
ps file (470K) ,
pdf file (394K) , October 17, 2001.
-
Piyush Gupta, Robert Gray, and P. R. Kumar,
``An Experimental Scaling
Law for Ad Hoc Networks.''
[ps file: 495K],
[pdf file: 1851K],
May 16, 2001.
Selected Articles from Conferences
-
Hemant Kowshik, Derek Caveney and P. R. Kumar,
``Provable System wide Safety in Intelligent
Intersections.``
To appear in Proceedings of the HSCC 2008: Hybrid Systems: Computation and Control,
St. Louis, MO, April 22-24, 2008.
Link to Springer-Verlag website and copyright notice.
-
Nikolaos M. Freris and P. R. Kumar,
``Fundamental Limits on Synchronization of Affine
Clocks in Networks."
Proceedings of the 46th
IEEE Conference on Decision and Control, pp. 921-926,
New Orleans, Dec. 12-14, 2007.
-
Min Cao, Vivek Raghunathan and P. R. Kumar,
``Distributed Energy Aware Cross-Layer Resource Allocation in Wireless Networks."
To appear in
Proceedings of Wireless Internet Conference (WICON) 2007,
Austin, Texas, October 22-24.
-
Craig Robinson and P. R. Kumar,
``Sending the Most Recent Observation is not
Optimal in Networked Control: Linear Temporal
Coding and Towards the Design of a Control
Specific Transport Protocol."
Proceedings of the 46th
IEEE Conference on Decision and Control, pp. 334-339,
New Orleans, Dec. 12-14, 2007.
-
Min Cao, Vivek Raghunathan and P. R. Kumar,
``Cross-Layer Exploitation of MAC Layer Diversity
in Wireless Networks."
Proceedings of ICNP06, The 14th IEEE International Conference on Network Protocols,
November 12-15, 2006, Santa Barbara, CA.
-
Min Cao, Vivek Raghunathan and P. R. Kumar,
``A Tractable Algorithm for Fair and Efficient Uplink
Scheduling of Multi-hop WiMax Mesh Networks."
Proceedings of WiMesh 2006: Second IEEE Workshop on Wireless
Mesh Networks, pp. 101-108, Sep. 25, 2006, Reston, VA.
-
Min Cao, Vivek Raghunathan and P. R. Kumar,
``Robust Floor Acquisition in the Presence of
Multiple Fading Channels."
Proceedings of the 40th Conference on Information Sciences and Systems,
pp. 1108-1113, Princeton, March 22-24, 2006.
-
Vikas Kawadia and P.~R.~Kumar,
"Experimental Investigations into TCP Performance
over Wireless Multihop Networks,"
SIGCOMM 2005 - Workshop on Experimental approaches
to wireless network design and analysis (E-WIND-05)
Philadelphia. August 22, 2005.
-
Vivek Raghunathan and P. R. Kumar,
"Issues in Wardrop
Routing in Wireless Networks,"
Proceedings of WICON'05, First International Wireless Internet Conference,
pp. 34-41, Budapest, Hungary, July 10-14, 2005.
-
Arvind Giridhar and P. R. Kumar,
``Maximizing the Functional Lifetime of Sensor Networks."
Proceedings of The Fourth International Conference on Information Processing in Sensor Networks, IPSN '05,
April 25-27, 2005, UCLA, Los Angeles.
-
Vivek Raghunathan and P. R. Kumar,
"A Wardrop Routing Protocol for Ad Hoc Wireless Networks,"
Proceedings of the
43rd IEEE Conference on Decision and Control,
Bahamas, pp. 4661-4666, Dec. 14-17, 2004.
-
Scott Graham and P. R. Kumar,
``Time in general-purpose control systems: The Control Time
Protocol and an experimental evaluation,''
Proceedings of the 43rd IEEE Conference on Decision
and Control, pp. 4004-4009.
Bahamas, Dec. 14-17, 2004
-
Scott Graham, Girish Baliga and P. R. Kumar,
``Issues in the convergence of control with communication
and computing: Proliferation, architecture, design, services,
and middleware.''
Proceedings of the 43rd IEEE Conference on Decision
and Control, pp. 1466-1471.
Bahamas, Dec. 14-17, 2004.
-
Arvind Giridhar and P. R. Kumar,
"Distributed Clock Synchronization over Wireless Networks: Algorithms
and Analysis,"
Proceedings of the 45th
IEEE Conference on Decision and Control, pp. 4915-4920, San Diego, Dec. 13-15, 2006.
-
Roberto Solis, Vivek Borkar and P. R. Kumar,
"A New Distributed Time Synchronization Protocol for
Multihop Wireless Networks."
Proceedings of the 45th
IEEE Conference on Decision and Control, pp. 2734-2739, San Diego, Dec. 13-15, 2006.
-
Girish Baliga, Scott Graham, Carl Gunter and P. R. Kumar,
"Reducing Risk by Managing Software Related Failures in Networked Control Systems,"
Proceedings of the 45th
IEEE Conference on Decision and Control, pp. 2866-2871, San Diego, Dec. 13-15, 2006.
-
Kurt Plarre, P. R. Kumar and T. I. Seidman,
``Increasingly correct message passing algorithms for
heat source detection in sensor networks."
Proceedings of the First IEEE International
Conference on Sensor ad Ad Hoc Networks (SECON 2004), Oct 4-7, 2004,
Santa Clara.
June 20, 2004.
-
Girish Baliga, Scott Graham, Lui Sha and P. R. Kumar,
``EtherWare:
Domainware for wireless control networks,"
pp. 155-162, Proceedings of
The 7th IEEE International Symposium on Object-oriented Real-time
Distributed Computing,
May 12-14, 2004, Vienna, Austria.
-
Girish Baliga and P. R. Kumar,
``A Middleware Architecture for Federated Control Systems.''
Presented at Middleware 2003,
Rio de Janeiro, Brazil, June 16-June 20, 2003.
Published in
IEEE Distributed Systems online, June 2003.
-
Scott Graham and P. R. Kumar,
``The Convergence of Control, Communication, and Computation.''
pp.~458--475, Proceedings of PWC 2003: Personal Wireless Communication,
Lecture Notes in Computer Science,
Volume 2775 / 2003,
Springer-Verlag, Heidelberg, 2003.
-
Vikas Kawadia and P. R. Kumar,
``Power Control and Clustering in
Ad Hoc Networks.''
INFOCOM 2003, San Francisco, March 30 - April 3, 2003.
-
S. Narayanaswamy, V. Kawadia, R. S. Sreenivas, and P. R. Kumar,
``Power Control in Ad-Hoc Networks: Theory, Architecture, Algorithm
and Implementation of the COMPOW Protocol.'' Proceedings of the
European Wireless Conference - Next Generation Wireless Networks:
Technologies, Protocols, Services and Applications,
pp. 156-162, Florence, Italy, Feb. 25-28, 2002.
-
V. Kawadia, S. Narayanaswamy, R. Rozovsky, R. S. Sreenivas, and
P. R. Kumar,
``Protocols for Media Access Control and Power Control in Wireless
Networks,''
Proceedings of the 40th IEEE Conference on Decision and Control,
pp.~1935-1940, Orlando, FL, Dec.~4-7, 2001.
-
R. Rozovsky and P. R. Kumar,
``SEEDEX: A MAC protocol for ad hoc
networks.'' Proceedings of The ACM Symposium on Mobile Ad Hoc
Networking & Computing, pp. 67-75, MobiHoc 2001, Long Beach, Oct 4-5,
2001.
[pdf file: 410K],
[ps file: 3.3 MBytes],
-
P. Gupta and P. R. Kumar,
``A system and traffic dependent adaptive routing algorithm for ad hoc
networks,''
Proceedings of the 36th IEEE Conference on Decision and Control,
pp. 2375-2380, San Diego, Dec. 1997.
Book
- P. R. Kumar and P. Varaiya, Stochastic Systems: Estimation,
Identification and Adaptive Control, Prentice Hall, Englewood Cliffs,
N. J., 1986.
Books Edited
- Adaptive Control, Filtering, and Signal Processing, Volume 74,
The IMA Volumes in Mathematics and Applications, K. J. Astrom,
G. C. Goodwin, and P. R. Kumar, Editors, Springer-Verlag, New York,
1995. ISBN 0-387-97988-3
- Discrete Event Systems, Manufacturing Systems and Communication
Netwroks, Volume 73, IMA Volumes in Mathematics and Applications,
P. R. Kumar and P. Varaiya, Editors, Springer-Verlag, New York, 1995.
ISBN 0-387-97987-5
Book Chapters
- M. Campi and P. R. Kumar,
``Learning Functional Relationships in High Dimensions: An Assessment
of Perceptrons, Neural Networks, and Other Methodologies,''
in The Astrom Symposium on Control, Edited by B. Wittenmark and
A. Rantzer, pp.~169-198, Studentlitteratur, Lund, Sweden, 1999. ISBN
91-44-01245-4
-
Piyush Gupta and P. R. Kumar,
``Critical Power for Asymptotic Connectivity in Wireless
Networks,''
pp. 547-566, in Stochastic Analysis, Control, Optimization and
Applications: A Volume in Honor of W.H. Fleming. Edited by
W.M. McEneany, G. Yin, and Q. Zhang, Birkhauser, Boston, 1998. ISBN
0-8176-4078-9
-
P. R. Kumar and Sunil Kumar,
``Semiconductor Manufacturing
Scheduling,'' pp. 110-119, Wiley Encyclopedia of Electrical and
Electronics Engineering, Volume 19. John G. Webster, Editor. John
Wiley and Sons, Inc., New York, 1999.
-
P. R. Kumar,
``Dynamic Programming,'' in The Control Handbook, William
S. Levine, Editor, CRC Press and IEEE Press, pp. 1097-1104, 1996.
-
Sunil Kumar and P. R. Kumar,
``Closed queueing networks in heavy traffic: Fluid limits and
efficiency,'' Stochastic Networks: Stability and Rare Events,
Lecture Notes in Statistics, P. Glasserman, K. Sigman and D. Yao,
Editors, Volume 117, pp. 41-64, Springer-Verlag, New York, 1996.
-
P. R. Kumar,
``Asymptotics and Uniform Bounds for Multiclass
Queueing Networks,'' Stochastic Networks: Stability and Rare Events,
Lecture Notes in Statistics, P. Glasserman, K. Sigman and D. Yao,
Editors, Volume 117, pp. 65-73, Springer-Verlag, New York, 1996.
-
P. R. Kumar,
``Scheduling Queueing Networks: Stability, Performance Analysis and Design,''
Stochastic Networks,
IMA Volumes in Mathematics and its Applications, Frank P. Kelly and
Ruth Williams, Editors, Volume 71, pp. 21-70, Springer-Verlag, New
York, 1995.
-
P. R. Kumar,
``An Adaptive Controller Inspired by Recent Results on Learning from
Experts,''
in Adaptive Control, Filtering, and Signal Processing, Volume 74, IMA
Volumes in Mathematics and Applications, pp. 199-204, K. J. Astrom,
G. C. Goodwin and P. R. Kumar, Editors, Springer-Verlag, New York,
1995.
-
P. R. Kumar,
``Scheduling Manufacturing Systems of Re-Entrant Lines,''
Stochastic Modeling and Analysis of Manufacturing Systems,
pp. 325-360, David D. Yao (ed.), Springer-Verlag, New York, 1994.
-
W. Ren and P. R. Kumar,
``The Convergence of Self-tuning Feedback
Control for Linear Stochastic Systems,'' pp. 383-397, in Stochastic
Theory and Adaptive Control, T. E. Duncan and B. Pasik Duncan (Eds.),
Lecture Notes in Control and Informational Sciences, Springer-Verlag,
New York, 1992.
-
S. M. Naik and P. R. Kumar,
``Extended Least Squares Based Adaptive
Control: Robustness Analysis,'' pp. 346-360, in Stochastic Theory and
Adaptive Control, T. E. Duncan and B. Pasik Duncan (Eds.), Lecture
Notes in Control and Informational Sciences, Springer-Verlag, New
York, 1992.
-
Steve Lu and P. R. Kumar,
``On Dynamic Scheduling of Manufacturing
Systems,'' Communication, Control and Signal Processing: Proceedings
of the 1990 Bilkent International Conference on New Trends in
Communication, Control and Signal Processing, vol. II, pp. 1643-1649,
E. Arikan, Editor, Elsevier, Amsterdam, 1990.
-
P. R. Kumar,
``Convergence of Adaptive Control Schemes Using
Least-Squares Parameter Estimates,'' pp. 207-215, in Advances in
Adaptive Control, Edited by K. S. Narendra, R. Ortega, and P. Dorato.
IEEE Press, 1991. (Also see [64]).
-
S. F. Lin and P. R. Kumar,
``Parameter Convergence in the Stochastic
Gradient Adaptive Control Law,'' pp. 203-204, in Advances in Adaptive
Control, Edited by K. S. Narendra, R. Ortega, and P. Dorato. IEEE
Press, 1991. (Also see [60]).
-
Sanjeev M. Naik, P. R. Kumar, and B. Erik Ydstie,
``Robust
Continuous-Time Adaptive Control by Parameter Projection,''
Foundations of Adaptive Control, vol. 160, Lecture Notes in Control
and Information Sciences, pp. 153-200, P. V. Kokotovic (Ed),
Springer-Verlag, New York, 1991.
-
Wei Ren and P. R. Kumar,
``Stochastic Adaptive System Theory: Recent
Advances and a Reappraisal,'' Foundations of Adaptive Control, Lecture
Notes in Control and Information Sciences, vol. 160, pp. 269-307,
P. V. Kokotovic, Editor, Springer-Verlag, New York, 1991.
-
Wei Ren and P. R. Kumar,
``The Convergence of Output Error Recursions
in Infinite Order Moving Average Noise,'' in New Directions in Time
Series Analysis, Part II, edited by Peter Caines, John Geweke and
Murad Taqqu, Vol. 46, IMA Volumes in Mathematics and its Applications,
pp. 315-324, Springer-Verlag, N.Y. 1992.
-
P. R. Kumar,
``Performance and Robustness in Adaptive Control of
Linear Stochastic Systems,'' in Stochastic Differential Systems,
vol. 126, Springer-Verlag Lecture Notes in Control and Information
Sciences, pp. 183-195, Proceedings of the Fourth Bad Honnef
Conference, June 20-24, 1988, N. Christopeit, K. Helmes, M. Kohlmann,
Editors, Springer-Verlag, Heidelberg, W. Germany, 1989.
-
P. R. Kumar,
``Recent Advances in the Theory of Stochastic Adaptive
Control,'' in Stochastic Differential Systems, Stochastic Control
Theory and Applications, vol. 10, IMA Volumes in Mathematics and its
Applications, pp. 241-254, W. Fleming and P. L. Lions, Editors,
Springer-Verlag, 1988.
-
P. R. Kumar,
``Identification and Adaptive Control of Linear
Stochastic Systems,'' in Adaptive and Learning Systems: Theory and
Applications, Editor K. S. Narendra, pp. 87-103, Plenum Press, New
York, 1986.
-
R. Akella and P. R. Kumar,
``Optimal Scheduling of a Flexible
Manufacturing System : A Stochastic Control Problem for a System with
Jump Markov Disturbances,'' pp. 131-134, Computational and
Combinatorial Methods in Systems Theory, Editors: C. Byrnes and A.
Lindquist, North Holland, 1986. (Proceedings of MTNS-1985-7th
International Symposium on the Mathematical Theory of Networks and
Systems, Stockholm, June 10-14, 1985.)
-
P. R. Kumar,
``Optimal Adaptive Control of Markovian Systems,'' in
Geometry and Identification: Proceedings of the APSM Conference on
System Geometry, System Identification and Parameter Estimation,
pp. 129-132, Editors P. E. Caines and R. Hermann, Math. Science Press,
Brookline, Mass., 1983.
-
W. Lin and P. R. Kumar,
``Stochastic Control of a Queue with Two
Servers of Different Rates,'' in Analysis and Optimization of Systems,
edited by A. Bensoussan and J. L. Lions, Lecture Notes in Control and
Information Sciences, vol. 44, Springer-Verlag 1982.
-
P. R. Kumar and T. H. Shiau,
``Zero Sum Dynamic Games,'' in Control
and Dynamic Games, C. T. Leondes, Editor, pp. 1345-378, Academic
Press, 1981.
Articles in Journals
-
C. L. Robinson, D. Caveney, L. Caminiti, G. Baliga, K. Laberteaux and P. R. Kumar,
``Efficient Message Composition and Coding for
Cooperative Vehicular Safety Applications.''
IEEE Transactions on Vehicular Technology:
Special issue on Vehicular Communications Networks,
vol. 56, no. 6, pp. 3244-3255, November
2007.
-
Kurt Plarre and P. R. Kumar,
“Tracking Objects with Networked Scattered Directional Sensors,”
EURASIP Journal on Advances in Signal Processing:
Special Issue on Cooperative Localization in Wireless Ad Hoc and Sensor Networks, vol. 2008, Article ID 360912, 10 pages, 2008. doi:10.1155/2008/360912
- Liang-Liang Xie and P. R. Kumar,
``Multisource, multidestination, multirelay wireless networks,"
IEEE Transactions on Information Theory,
Special issue
on Models, Theory and Codes for Relaying and Cooperation
in Communication Networks,
vol. 53, no. 10, pp. 3586-3595, October 2007.
-
Arvind Giridhar and P. R. Kumar,
``Scheduling Traffic on a Network of Roads.''
IEEE Transactions on Vehicular Technology,
Vol. 55, Issue 5, pp. 1467-1474, September 2006.
-
Vivek Raghunathan and P. R. Kumar,
"A Counterexample in Congestion Control of
Wireless Networks,"
Performance Evaluation,
Volume 64, Issue 5, pp. 399-418, June 2007.
-
Arvind Giridhar and P. R. Kumar,
"Towards a Theory of In-Network Computation in
Wireless Sensor Networks."
IEEE Communications Magazine, vol. 44, no. 4, pp. 98-107, April 2006.
-
Feng Xue and P. R. Kumar,
``On the theta-coverage and connectivity of large random networks."
Joint Special Issue of IEEE Transactions on Information Theory and
IEEE/ACM Transactions on Networking on Networking and Information Theory,
pp. 2289-2399, vol. 52, no. 6, June 2006.
-
Liang-Liang Xie and P. R. Kumar,
``On the path-loss attenuation regime for positive cost and linear
scaling of transport capacity in wireless networks."
Joint Special Issue of IEEE Transactions on Information Theory and
IEEE/ACM Transactions on Networking on Networking and Information Theory,
pp. 2313-2328, vol. 52, no. 6, June 2006.
-
Arvind Giridhar and P. R. Kumar,
``Computing
and communicating functions over sensor networks."
IEEE Journal on Selected Areas in Communications.
pp. 755--764, vol. 23, no. 4,
April 2005.
-
Liang-Liang Xie and P. R. Kumar,
``An achievable rate for the multiple-level
relay channel."
IEEE Transactions on Information Theory."
vol. 51, no. 4, pp. 1348-1358, April 2005.
-
Feng Xue, Liang-Liang Xie and P. R. Kumar,
``The Transport
Capacity of Wireless Networks over Fading Channels,"
IEEE Transactions on Information Theory, pp. 834-847, vol. 51,
no. 3, March 2005.
-
G. Baliga, S. Graham, L. Sha, and P. R. Kumar,
"Service continuity in networked control using etherware."
IEEE Distributed Systems Online, 15 pages, vol.~5, No.~8, September 2004. ISSN: 1541-4922.
-
Ashish Agarwal and P. R. Kumar,
``Capacity bounds for ad-hoc and hybrid wireless networks.''
ACM SIGCOMM Computer Communications Review,
Special Issue on Science of Networking Design,
pp. 71-81, Vol. 34, No. 3, July 2004.
-
Vikas Kawadia and P. R. Kumar,
``A Cautionary Perspective on Cross
Layer Design.''
IEEE Wireless Communication Magazine.
pp. 3-11, vol. 12, no. 1, February 2005.
-
Vikas Kawadia and P. R. Kumar,
``Principles and Protocols for
Power Control in Ad Hoc Networks.''
IEEE Journal on Selected Areas in Communications,
pp. 76-88, vol. 23, no. 5, January 2005.
-
Ashish Agarwal and P. R. Kumar,
``Improved capacity bounds for wireless
networks."
Wireless Communications and Mobile Computing, vol. 4, pp. 251-261, 2004.
-
Nitin Gupta and P. R. Kumar,
``A performance analysis of the IEEE 802.11
Wireless LAN Medium Access Control."
Communications in Information and Systems, pp. 279-304,
vol. 3, no. 4, 2003.
-
Liang-Liang Xie and P. R. Kumar,
``A Network Information Theory for
Wireless Communication: Scaling Laws and Optimal Operation.''
IEEE Transactions on Information Theory, vol 50, no. 5, pp. 748-767,
May 2004.
[ps file: 400K].
-
Kurt Plarre and P. R. Kumar,
``Extended Message Passing Algorithm for Inference in Loopy Gaussian Graphical
Models.''
Ad Hoc Networks, vol. 2, pp. 153--169, 2004.
[ps file: 404K],
-
Feng Xue and P. R. Kumar,
``The number of neighbors needed for
connectivity of wireless networks.''
Wireless Networks, pp. 169--181, vol.10, no. 2, March 2004.
[ps file: 464K],
-
Piyush Gupta and P. R. Kumar,
``Towards an Information Theory of Large
Networks: An Achievable Rate Region,''
[ps file: 583K],
[pdf file: 516K],
IEEE Transactions on Information Theory, vol. 49, no. 8,
pp. 1877-1894, August 2003.
-
V. Borkar and P. R. Kumar,
``Dynamic Cesaro-Wardrop Equilibration in
Networks,''
IEEE Transactions on Automatic Control, pp. 382-396, vol. 48, no. 3, March 2003.
[ps file: 1.27M],
-
Sunil Kumar and P. R. Kumar,
``Queueing Network Models in the Design
and Analysis of Semiconductor Wafer Fabs,''
IEEE Transactions on Robotics and Automation,
vol. 17, no. 5, pp. 548-561, October 2001.
[ps file: 1.46M],
-
Piyush Gupta and P. R. Kumar,
``Internets in the Sky: The Capacity of Three Dimensional Wireless Networks,''
Communications in Information and Systems, vol. 1, issue 1, pp. 33-49, January 2001.
-
P. R. Kumar,
``New Technological Vistas for Systems and Control: The Example of Wireless Networks,''
IEEE Control Systems Magazine, pp. 24-37, vol. 21, no. 1, Feb. 2001.
-
James Morrison and P. R. Kumar,
``New Linear Program Performance Bounds for Closed
Queueing Networks.''
Discrete Event Dynamic Systems: Theory and Applications.
vol. 11, no. 4, pp. 291-317, October 2001.
-
Piyush Gupta and P. R. Kumar,
``The Capacity of Wireless Networks.''
IEEE Transactions on Information Theory,
pp. 388-404, vol.~IT-46, no.~2, March 2000.
-
Michael W. Daniels and P. R. Kumar,
``Racing with the Sun: The optimal
use of the solar powered automobile.''
IEEE Control Systems Magazine, pp. 12-22, vol. 19, no. 3, June 1999.
-
James R. Morrison and P. R. Kumar,
``New Linear Program Performance Bounds for Queueing
Networks,''
Journal of Optimization Theory and Applications,
vol.100, no.3, March 1999, pp.575-97, Plenum Publishers.
-
S. Kumar, R. Srikant, and P. R. Kumar,
``Bounding blocking probabilities and
throughput in queueing networks with buffer capacity constraints,''
Queueing Systems: Theory and Applications, vol. 28, pp. 55-77, 1998.
-
Marco Campi and P. R. Kumar,
``Adaptive Linear Quadratic Gaussian Control: The Cost-Biased Approach
Revisited,''
SIAM Journal on Control and Optimization, vol. 36, no. 6, Nov. 1998.
-
Marco Campi and P. R. Kumar,
``Learning Dynamical Systems in a Stationary Environment,''
Systems and Control Letters, vol. 34, pp. 125-132, 1998.
-
James R. Morrison and P. R. Kumar,
``On the Guaranteed Throughput and Efficiency of Closed Re-Entrant
Lines.''
Queueing Systems: Theory and Applications, vol. 28, pp. 33-54, 1998.
-
C. Humes, Jr., J. Ou, and P. R. Kumar.
``The delay of open Markovian queueing networks: Uniform functional
bounds, heavy traffic pole multiplicities, and stability,''
Mathematics of Operations Research, vol. 22, no. 4, pp. 921-954,
November 1997.
-
H. Jin, J. Ou, and P. R. Kumar.
``The throughput of irreducible closed Markovian queueing networks:
Functional bounds, asymptotic loss, efficiency, and the Harrison-Wein
conjectures,''
Mathematics of Operations Research, vol. 22, no. 4, pp. 886-920,
November 1997.
-
P. R. Kumar,
``A tutorial on some new methods for performance evaluation of
queueing networks,''
IEEE Journal on Selected Areas in Communications: Special Issue on
``Advances in the Fundamentals of Networking-Part I: Bridging
Fundamental Theory and Networking,'' pp. 970-980, vol. 13, no. 6,
August 1995.
-
Gil I. Winograd and P. R. Kumar,
``The FCFS Service Discipline: Stable Network Topologies, Bounds on
Traffic Burstiness and Delay, and Control by Regulators,''
Mathematical and Computer Modelling, vol. 23, no. 11/12, pp. 115-129,
1996.
-
P. R. Kumar,
``Scheduling Semiconductor Manufacturing Plants,''
IEEE Control Systems Magazine, pp. 33-40, vol. 14, no. 6, December
1994.
-
Kevin L. Buescher and P. R. Kumar,
``Learning by Canonical Smooth Estimation, Part II: Learning and Model
Complexity,''
IEEE Transactions on Automatic Control. vol. 41, no. 4, pp. 557-569,
April 1996.
-
Kevin L. Buescher and P. R. Kumar,
``Learning by Canonical Smooth Estimation, Part I: Simultaneous
Estimation,''
IEEE Transactions on Automatic Control. vol. 41, no. 4, pp. 545-556,
April 1996.
-
J. R. Perkins and P. R. Kumar,
``Optimal Control of Pull Manufacturing Systems,''
IEEE Transactions on Automatic Control, vol. 40, number 12,
pp. 2040-2051, Dec. 1995.
-
Sunil Kumar and P. R. Kumar,
``Fluctuation smoothing policies are stable for stochastic re-entrant
lines,''
Journal of Discrete Event Dynamic Systems: Theory and Applications,
vol. 6, no. 4, pp. 361-370, October 1996.
-
P. R. Kumar and Sean P. Meyn,
``Duality and Linear Programs for Stability and Performance Analysis
of Queueing Networks and Scheduling Policies,''
IEEE Transactions on Automatic Control, vol. 41, no. 1, pp. 4-17,
January 1996.
-
P. R. Kumar and Sean P. Meyn,
``Stability of Queueing Networks and Scheduling Policies,''
For Figures. IEEE
Transactions on Automatic Control, pp. 251-260, vol. 40, no. 2,
February 1995.
-
Wei Ren and P. R. Kumar,
``Stochastic Adaptive Prediction and Model Reference Control,''
IEEE Transactions on Automatic Control, pp. 2047-2060, vol. 39,
no. 10, October 1994.
-
James R. Perkins, Carlos Humes, Jr., and P. R. Kumar,
``Distributed Scheduling of Flexible Manufacturing Systems: Stability
and Performance,''
IEEE Transactions on Robotics and Automation: Special Section on
Computer Integrated Manufacturing, vol. 10, no. 2, pp. 133-141, April
1994.
-
Sunil Kumar and P. R. Kumar,
``Performance Bounds for Queueing Networks and Scheduling Policies,''
IEEE Transactions on Automatic Control, pp. 1600-1611, vol. 39,
no. 8, August 1994.
For Figures.
-
Steve C. H. Lu, Deepa Ramaswamy, and P. R. Kumar,
``Efficient scheduling policies to reduce mean and variance of
cycle-time in semiconductor manufacturing plants,''
IEEE Transactions on Semiconductor Manufacturing, pp. 374-385, vol. 7,
number 3, August 1994.
-
Madhav Desai, Sunil Kumar, and P. R. Kumar,
``Quasi-Statically Cooled Markov chains,''
Probability in the Engineering and Informational Sciences, vol. 8,
pp. 1-19, 1994.
-
Sanjeev M. Naik and P. R. Kumar,
``Stability of adaptively controlled
systems using parameter projection.'' Control - Theory and Advanced
Technology, vol. 9, no. 1, Special Issue on
``Identification and
Adaptive Control - Continuous Time Approaches'', pp. 191-201, March
1993.
-
Sanjeev M. Naik and P. R. Kumar,
``Robust Indirect Adaptive Control of Time-Varying Plants with
Unmodeled Dynamics and Disturbances,''
SIAM Journal on Control and Optimization, pp. 1696-1725, Vol. 32,
no. 5, November 1994.
-
R. D. Ellis, R. Ravikanth, and P. R. Kumar,
``Automating the Simulation of Complex Discrete Time Control Systems:
A Mathematical Framework, Algorithms, and a Software Package,''
IEEE Transactions on Automatic Control, pp. 1795-1801, vol. 39, no. 9,
September 1994.
-
P. R. Kumar,
``Re-entrant Lines.''
Queueing Systems: Theory and Applications, Special Issue on Queueing
Networks, pp. 87-110, vol. 13, nos. 1-3, May 1993.
-
Wei Ren and P. R. Kumar,
``Stochastic Parallel Model Adaptation: Theory and Applications to
Active Noise Cancellation, Feedforward Control, IIR Filtering and
Identification,''
IEEE Transactions on Automatic Control, pp. 566-578, vol. 37, no. 5,
May 1992.
-
Wei Ren and P. R. Kumar,
``Recent Results on Least Squares Based
Adaptive Control of Linear Stochastic Systems in White Noise,''
Sadhana, pp. 397-404, vol. 15, nos. 4 & 5, December 1990.
-
Sanjeev M. Naik, P. R. Kumar and B. Erik Ydstie,
``Robust Continuous
Time Adaptive Control by Parameter Projection,''
IEEE Transactions on Automatic Control, vol. 37, no. 2, pp. 182-197,
February 1992.
-
Steve H. Lu and P. R. Kumar,
``Distributed Scheduling Based on Due Dates and Buffer Priorities,''
IEEE Transactions on Automatic Control, pp. 1406-1416, December
1991.
-
H-F. Chen, P. R. Kumar and J. H. van Schuppen,
``On Kalman Filtering for Conditionally Gaussian Systems With Random
Matrices,'' Systems and Control Letters,
vol. 13, no. 5, pp. 397-404, December 1989.
-
P. R. Kumar and T. I. Seidman,
``Dynamic Instabilities and Stabilization Methods in Distributed
Real-Time Scheduling of Manufacturing Systems,''
IEEE Transactions on Automatic Control, vol. 35, no. 3, pp. 289-298,
March 1990.
-
P. R. Kumar,
``Convergence of Adaptive Control Schemes Using Least-Squares
Parameter Estimates,''
IEEE Transactions on Automatic Control, vol. 35, no. 5, pp. 416-424,
April 1990.
-
D. P. Connors and P. R. Kumar,
``Simulated Annealing Type Markov Chains and their Order Balance
Equations,''
SIAM Journal on Control and Optimization, vol. 27, no. 6,
pp. 1440-1462, November 1989.
-
J. Perkins and P. R. Kumar,
``Stable Distributed Real-Time Scheduling of Flexible
Manufacturing/Assembly/Disassembly Systems,''
IEEE Transactions on Automatic Control, vol. 34, no. 2, pp. 139-148,
February 1989.
- L. Praly, S-F. Lin, and P. R. Kumar,
``A Robust Adaptive Minimum Variance Controller,''
SIAM Journal on Control and Optimization, vol. 27, no. 2, pp. 235-266,
March 1989.
-
T. Basar and P. R. Kumar,
``On Worst Case Design Strategies,''
Computers and Mathematics with Applications: Special Issue on
Pursuit-Evasion Differential Games, vol. 13, no. 1-3, pp. 239-245,
1987. worst_case_1_87.ps
-
D. P. Connors and P. R. Kumar,
``Balance of Recurrence Order in Time-Inhomogeneous Markov Chains With
Application to Simulated Annealing,''
Probability in the Engineering and Informational Sciences, vol. 2,
pp. 157-184, 1988.
-
T. Bielecki and P. R. Kumar,
``Optimality of Zero Inventory Policies for Unreliable Manufacturing
Systems,''
Operations Research, vol. 36, no. 4, pp. 532-541, July-August 1988.
-
P. R. Kumar,
``Review of ``Theory and Practice of Recursive
Identification'' by L. Ljung and T. Soderstrom,'' IEEE Transactions on
Automatic Control., vol. AC-30, no. 10, pp. 1054-1056, 1985.
-
P. R. Kumar and L. Praly,
``Self Tuning Trackers,''
SIAM Journal on Control and Optimization, vol. 25, no. 4,
pp. 1053-1071, July 1987.
-
R. Akella and P. R. Kumar,
``Optimal Control of Production Rate in a
Failure Prone Manufacturing System,''
IEEE Transactions on Automatic
Control, pp. 116-126, vol. AC-31, no. 2., February 1986.
-
P. R. Kumar and T. I. Seidman,
``Stability in the Sense of Bounded
Average Power,'' IMA Journal of Mathematical Control and
Information, vol. 2, pp. 109-122, 1985.
-
W. Lin, P. R. Kumar, and T. I. Seidman,
``Will the Self-Tuning
Approach Work for General Cost Criteria?,'' Systems and Control
Letters, vol. 6, no. 2, pp. 77-85, July 1985.
-
U. Shaked and P. R. Kumar,
``Minimum Variance Control of Discrete Time
Multivariable ARMAX Systems,'' SIAM Journal on Control and
Optimization. vol. 24, no. 3, pp. 396-411, May 1986.
-
P. R. Kumar and J. Walrand,
``Individually Optimal Routing in Parallel
Systems,'' Journal of Applied Probability, vol. 22, pp. 989-995,
December 1985.
-
P. R. Kumar,
``A Survey of Some Results in Stochastic Adaptive
Control,''
SIAM Journal on Control and Optimization, vol. 23, no. 3,
May 1985, pp. 329-380.
-
A. Becker, P. R. Kumar, and C. Z. Wei,
``Adaptive Control with the
Stochastic Approximation Algorithm: Geometry and Convergence,'' IEEE
Transactions on Automatic Control, vol. AC-30, no. 4, pp. 330-338,
April 1985.
-
W. Lin and P. R. Kumar,
``Optimal Control of a Queueing System with
Two Heterogeneous Servers,'' IEEE Transactions on Automatic Control,
vol. AC-29, pp. 696-703, August 1984.
-
P. R. Kumar,
``Optimal Adaptive Control of Stochastic Systems,''
Ricerche di Automatica, pp. 1-5, vol. XIII, no. 1, October 1982.
-
P. R. Kumar,
``Simultaneous Identification and Adaptive Control of
Unknown Systems Over Finite Parameter Sets,'' IEEE Transactions on
Automatic Control, vol. AC-28, no. 1, pp. 68-76, January 1983.
-
P. R. Kumar,
``Optimal Adaptive Control of Linear Quadratic Gaussian
Systems,'' SIAM Journal on Control and Optimization, pp. 163-178,
March 1983.
-
P. R. Kumar and W. Lin,
``Optimal Adaptive Controllers for Unknown
Markov Chains,'' IEEE Transactions on Automatic Control, vol. AC-27,
pp. 765-774, August 1982.
-
P. R. Kumar and J. H. van Schuppen,
``On the Optimal Control of
Stochastic Systems with an Exponential of Integral Performance
Index,'' Journal of Mathematical Analysis and Applications, vol. 80,
pp. 312-332, April 1982.
-
P. R. Kumar and A. Becker,
``A New Family of Optimal Adaptive
Controllers for Markov Chains,'' IEEE Transactions on Automatic
Control, vol. AC-27, pp. 137-146, February 1982.
-
P. R. Kumar,
``Adaptive Control with a Compact Parameter Set,'' SIAM
Journal on Control and Optimization, vol. 20, pp. 9-13, January 1982.
-
P. R. Kumar and T.I. Seidman,
``On the Optimal Solution of the
One-Armed Bandit Adaptive Control Problem,'' IEEE Transactions on
Automatic Control, vol. AC-26, pp. 1176-1184, October 1981.
-
P. R. Kumar and T. H. Shiau,
``Existence of Value and Randomized
Strategies in Zero-Sum Discrete-Time Stochastic Dynamic Games,'' SIAM
Journal on Control and Optimization, vol. 19, pp. 617-634, September
1981.
-
P. R. Kumar and J. H. van Schuppen,
``On Nash Equilibrium Solutions in
Stochastic Dynamic Games,'' IEEE Transactions on Automatic Control,
vol. AC-25, pp. 1146-1149, December 1980.
-
P. R. Kumar,
``Optimal Mixed Strategies in a Dynamic Game,'' IEEE
Transactions on Automatic Control, vol. AC-25, pp. 743-749, August
1980.
-
P. R. Kumar,
``A Differential Game with Jump Process Observations,''
Journal of Optimization Theory and Applications, vol. 31, pp. 219-231,
June 1980.
-
S. D. Personick, P. Balaban, J. H. Bobsin, and P. R. Kumar,
``A
Detailed Comparison of Four Approaches to the Calculation of the
Sensitivity of Optical Fiber System Receivers,'' IEEE Transactions on
Communications, pp. 541-578, May 1977.