Optimization algorithms for epidemic evolution in broadcast networks

IEEE Wireless Communications and Networking Conference, WCNC

Volumn , Issue , 2013, Pages 1540-1545

  Zhai, Xiangping ^a   Zheng, Liang ^a   Wang, Jianping ^a   Tan, Chee Wei ^a  

^a CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Epidemic evolution; nonnegative matrix theory; spectral radius minimization

Indexed keywords

EPIDEMIC EVOLUTION; GLOBAL OPTIMAL SOLUTIONS; NON-NEGATIVE MATRIX; NONCONVEX OPTIMIZATION PROBLEM; NONNEGATIVE MATRIX THEORIES; OPTIMIZATION ALGORITHMS; OPTIMIZATION PROBLEMS; SPECTRAL RADII;

ALGORITHMS; BIOLOGY; COMPUTER VIRUSES; DYNAMICAL SYSTEMS; MATRIX ALGEBRA; RELAXATION PROCESSES; WIRELESS TELECOMMUNICATION SYSTEMS;

DISEASE CONTROL;

EID: 84881602923     PISSN: 15253511     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/WCNC.2013.6554792     Document Type: Conference Paper

References (18)

1. L. Chen, S. Roy, and A. Saberi, "On the information flow required for tracking control in networks of mobile sensing agents," IEEE Trans. on Mobile Computing, vol. 10, no. 4, pp. 519-531, April 2011.
2. S Roy,M Xue,a nd S.K. Das," Security and discoverability of spread dynamics in cyber-physical networks," IEEE Trans. on Parallel and Distributed Systems, vol. 23, no. 9, pp. 1694-1707, September 2012.
3. D.J. Daley and J. Gani, Epidemic modelling: An introduction UK Cambridge University Press, 1999.
4. L Zager and G.Verghese, "Epidemic thresholds for infections in uncertain networks," Complexity, vol. 14, no. 4, pp. 12-25, Mar. 2009.
5. D. Chakrabarti, Y Wang, C. Wang, J. Leskovec, and C. Faloutsos, "Epidemic thresholds in real networks," ACM Trans. on Information and System Security, vol. 10, no. 4, pp. 1-26, Jan. 2008.
6. M.Khouzani, S.Sarkar, and E.Altman, "Optimal control of epidemic evolution," IEEE INFOCOM, pp. 1683-1691, Apr. 2011.
7. N. C. Valler, B. A Prakash, H. Tong, M. Faloutsos, and C. Faloutsos, "Epidemic spread in mobile ad hoc networks Determining the tipping point," ECML PKDD, vol. 6640, pp. 266-280,2011.
8. D. Shah and T. Zaman, "Detecting sources of viruses in network: Theory and application," Proceedings of ACM SIGMETRlCS, pp.14-18, Jun. 2010.
9. P.Wang, M.C. Gonzalez, C. A Hidalgo, and A-L Barabasi, "Understanding the spreading patterns of mobile phone viruses," Science, vol. 324, no.5930, pp.1071-1076, May 2009
10. Y. Wan, S. Roy, and A. Saberi, "A new focus in the science of networks: towards methods for design," Proceedings of the Royal Society A: Mathematical, PhYSical and Engineering Science, vol. 464, no.2091, pp. 513-535, Mar. 2008.
11. R. G. Gallager, Discrete stochastic processes Norwell Kluwer Academic Publishers, 1996.
12. S. P. Banks, Control systems engineering. Englewood Cliffs: PrenticeHall, 1986.
13. K. Yeh and H. Lu, "Robust stability analysis for two-dimensional systems via eigenvalue sensitivity," Multidimensional Systems and Signal Processing, vol. 6, pp. 223-236, Jul. 1995.
14. Y. Balakrishnan, S. Boyd, and S. Balemi, "Branch and bound algorithm for computing the minimum stability degree of parameter-dependent linear systems," International Journal of Robust and Nonlinear Control, vol. I, no.4, pp. 295-317, Oct.-Dec.1992.
15. S. Boyd and L. Vandenberghe, Convex optimization. UK: Cambridge University Press, 2004.
16. S Friedland and S Karlin, "Some inequalities for the spectral radius of non-negative matrices and applications," Duke Mathematical Journal, vol. 42, no. 3, pp. 459-490, Sep. 1975.
17. J. E. Falk, "Lagrange multipliers and nonconvex programs," SIAM Journal on Control, vol. 7, no. 4, pp. 534-545, Nov. 1969.
18. R. B. Bapat and T. E.S.Raghavan, Nonnegative matrices and applications UK Cambridge University Press, 1997.