CSE 736 - Markov Chains: Foundations and Applications
Spring 2003

• Here is a list of topics and papers suggested for your presentation. This list shall be improved and updated considerably. Again, please feel free to pick your own topic and discuss it with me.
• The more number of x's, the more I would like to see the paper presented.
• Lastly, the papers listed for a particular topic are, in some cases, not sufficient for a survey on that topic. They are listed as the first starting point.

1. Miscellaneous Network Theory

• (x) R. L. Cruz, A calculus for network delay, Part I: Network elements in isolation, IEEE Trans. Inform. Theory, 37 (1991), pp. 114--131.
• (x) R. L. Cruz, A calculus for network delay, Part II: Network analysis, IEEE Trans. Inform. Theory, 37 (1991), pp. 132--141.
• C. E. Shannon, ``A mathematical theory of communication,'' Bell System Technical Journal, vol. 27, pp. 379-423 and 623-656, July and October, 1948.

2. Algorithms

• (xx) Mark Jerrum and Alistair Sinclair and Eric Vigoda, A polynomial-time approximation algorithm for the permanent of a matrix with non-negative entries, Proceedings of the thirty-third annual ACM symposium on Theory of computing, pp. 712--721, 2001.
• (xx) Ravi Kannan and Prasad Tetali and Santosh Vempala, Simple Markov-chain algorithms for generating bipartite graphs and tournaments, Proceedings of the eighth annual ACM-SIAM symposium on Discrete algorithms, pp. 193--200, 1997.
• David Bruce Wilson, Generating random spanning trees more quickly than the cover time, Proceedings of the twenty-eighth annual ACM symposium on Theory of computing, 296--303, 1996.

3. Blocking Probability

• (xxx) Ellen Witte Zegura, Evaluating blocking probability in generalized connectors, IEEE/ACM Transactions on Networking (TON), v.3 (1995) n.4, pp. 387--398
• (xxx) E. Valdimarsson, "Blocking in multirate networks," in Proc. INFO- COM'91, pp. 579-588, 1991.
• (xxx) W. Zegura, "Evaluating blocking probability in distributors," in Proc. INFOCOM'93, Mar. 1993, pp. 1107-1116.
• (x) Y. Yang and J. Wang, ``On blocking probability of multicast networks,'' IEEE Transactions on Communications, vol. 46, no. 7, July 1998, pp. 957-968.
• (xx) M.P. Haynos and Y. Yang, ``An analytical model on the blocking probability of a fault-tolerant network,'' IEEE Transactions on Parallel and Distributed Systems, special issue on Fault-Tolerant Routing, vol. 10, no. 10, pp. 1040-1051, October 1999.
• (x) Y. Yang and J. Wang, ``A more accurate analytical model on blocking probability of multicast networks,'' IEEE Transactions on Communications, vol. 48, no. 11, pp. 1930-1936, Nov. 2000.
• (xx) Chung, Shun-Ping, Kashper, Arik, Ross, Keith W., "Computing approximate blocking probabilities for large loss networks with state-dependent routing", IEEE/ACM Transactions on Networking, Vol.1, No. 1 (Feb. 1993), pp. 105-115
• (x) Birman, A., "Computing approximate blocking probabilities for a class of all-optical networks", Proceedings of the Fourteenth Annual Joint Conference of the IEEE Computer and Communication Societies (Vol. 2).
• (x) T. Tripathi and K. N. Sivarajan. Computing Approximate Blocking Probabilities in Wavelength Routed All-Optical Networks with Limited-Range Wavelength Conversion. Proc. IEEE INFOCOM'99., March, 1999
• (xx) Yuhong Zhu and George N. Rouskas and Harry G. Perros, A path decomposition approach for computing blocking probabilities in wavelength-routing networks, IEEE/ACM Transactions on Networking, Vol.8, No. 6 (2000), pp. 747--762
• (xx) Sridhar Ramesh and George N. Rouskas and Harry G. Perros, Computing blocking probabilities in multiclass wavelength routing networks, ACM Transactions on Modeling and Computer Simulation (TOMACS), vol. 10 (2000), no. 2, pp. 87--103.

4. Optical Networks

• (xx) Han S. Kim , Ness B. Shroff, Loss probability calculations and asymptotic analysis for finite buffer multiplexers, IEEE/ACM Transactions on Networking (TON), v.9 n.6, pp.755-768, December 2001
• (xx) Jinwoo Choe and Ness B. Shroff, A central-limit-theorem-based approach for analyzing queue behavior in high-speed networks, IEEE/ACM Transactions on Networking (TON), v.6 n.5, pp.659--671, 1998.
• (x) Qiu and Knightly, Measurement-based admission control with aggregate traffic envelopes, IEEE/ACM Transactions on Networking (TON), v.9 n.2, p.199-210, April 2001
• (xx) Ramu Ramamurthy and Biswanath Mukherjee, Fixed-alternate routing and wavelength conversion in wavelength-routed optical networks, IEEE/ACM Transactions on Networking (TON), v.10 n.3, pp.1063-6692, 2002.
• (x) George Kesidis and Jean Walrand and Cheng-Shang Chang, Effective bandwidths for multiclass Markov fluids and other ATM sources, IEEE/ACM Transactions on Networking (TON), v.1 n.4, pp.424-428, 1993.

5. Interconnection Networks & TCP/IP

• (xx) Peter G. Harrison, Naresh M. Patel: The Representation of Multistage Interconnection Networks in Queuing Models of Parallel Systems. JACM 37(4): pp. 863-898 (1990)
• (xx) Micah Adler, Tradeoffs in probabilistic packet marking for IP traceback, Proceedings of the thiry-fourth annual ACM symposium on Theory of computing, pp. 407--418, 2002, Montreal, Quebec, Canada.
• (xx) Leslie Ann Goldberg and Philip D. Mackenzie and Mike Paterson and Aravind Srinivasan, Contention resolution with constant expected delay, Journal of the ACM (JACM), vol 47 (2000), no. 6, pp 1048--1096.
• (x) Sally Floyd, Van Jacobson, The synchronization of periodic routing messages, IEEE/ACM Transactions on Networking (TON), v.2 n.2, pp. 122--136, 1994.
• (x) Zhen Liu, Philippe Nain and Don Towsley, Exponential bounds with applications to call admission, Journal of the ACM (JACM), vol 44 (1997), no. 3, pp. 366--394
• (x) Sheng Ma and Chuanyi Ji, Modeling heterogeneous network traffic in wavelet domain, IEEE/ACM Transactions on Networking (TON), v.9 n.5, pp. 634--649, 2001.
• (x) Hannu Rummukainen and Jorma Virtamo, Polynomial cost approximations in markov decision theory based call admission control, IEEE/ACM Transactions on Networking (TON), v.9 n.6, pp. 769--779, 2001.
• Sanjay Shakkottai and Anurag Kumar and Aditya Karnik and Ajit Anvekar, TCP performance over end-to-end rate control and stochastic available capacity, IEEE/ACM Transactions on Networking (TON), v.9 n.4, pp. 377--391, 2001.

6. Mobile/Wireless Networks

• (xx) Nidhi Hegde and Khosrow Sohraby, Blocking in large mobile cellular networks with bursty traffic, Proceedings of the 2001 ACM SIGMETRICS international conference on Measurement and modeling of computer systems, pp. 123--132, 2001.
• (x) Attahiru Sule Alfa and Wei Li, A homogeneous PCS network with markov call arrival process and phase type cell residence time, Wireless Networks, vol. 8 (2002), no. 2, 297--305.
• (x) Novella Bartolini, Handoff and optimal channel assignment in wireless networks, Mobile Networks and Applications, vol. 6 (2001), no. 6, pp. 511--524.
• (x) Michele Zorzi and Ramesh R. Rao, Energy efficiency of TCP in a local wireless environment, Mobile Networks and Applications, vol. 6 (2001), no. 3, pp. 265--278.
• (x) Hisashi Kobayashi and Shun-Zheng Yu and Brian L. Mark, An integrated mobility and traffic model for resource allocation in wireless networks, Proceedings of the third ACM international workshop on Wireless mobile multimedia, pp. 39--47, 2000.
• (x) Almudena Konrad and Ben Y. Zhao and Anthony D. Joseph and Reiner Ludwig, A Markov-based channel model algorithm for wireless networks, Proceedings of the 4th ACM international workshop on Modeling, analysis and simulation of wireless and mobile systems, 28--36, 2001.
• (xx) Michele Zorzi and Ramesh R. Rao, Performance of ARQ Go-Back-N protocol in Markov channels with unreliable feedback, Mobile Networks and Applications, vol 2. (1997), no. 2, pp. 183--193.
• Francesco Lo Presti and Vincenzo Grassi, Markov analysis of the PRMA protocol for local wireless networks, Wireless Networks, vol. 4 (1998), no. 4, pp. 297--306.

7. Queueing Models

• Ao Tang et al., Understanding CHOKe, INFOCOM'03.
• Parijat Dube, Eitan Altman, "Queueing Analysis of Early Message Discarding Policy," in the proc. of IEEE ICC 2002, April 28-May 2, 2002, New York City, USA.
• Parijat Dube, Eitan Altman, Goodput Analysis of a Fluid Queue with Selective Burst Discarding and a Responsive Bursty Source, INFOCOM'03
• Marcel F. Neuts, Jun Guo, Moshe Zukerman, Hai Le Vu, The Waiting Time Distribution for a TDMA Model with a Finite Buffer, INFOCOM'03
• Jacqueline Boyer, Fabrice Guillemin, Philippe Robert, Bert Zwart, Heavy tailed M/G/1-PS queues with impatience and admission control in packet networks, INFOCOM'03