Exact models for the κ-connected minimum energy problem

Lecture Notes of the Institute for Computer Sciences, Social-Informatics and Telecommunications Engineering

Volumn 28 LNICST, Issue , 2010, Pages 392-406

  Burt, Christina ^a   Chan, Yao Ban ^a   Sonenberg, Nikki ^a  

^a UNIVERSITY OF MELBOURNE   (Australia)

Author keywords

Exact model; K connectivitiy; Minimum transmission; Mixed integer programming

Indexed keywords

DROP-OUT; EXACT MODEL; FUTURE DESIGNS; INTERMEDIATE NODE; K-CONNECTIVITIY; LARGER NETWORKS; MINIMUM ENERGY; MINIMUM TRANSMISSION; MIXED-INTEGER PROGRAMMING; NETWORK SIZE; OPTIMALITY; TOTAL ENERGY;

ENERGY GAP; INTEGER PROGRAMMING; MOBILE AD HOC NETWORKS; QUALITY OF SERVICE;

AD HOC NETWORKS;

EID: 84867863464     PISSN: 18678211     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-642-11723-7_26     Document Type: Conference Paper

References (16)

1. Althaus, E., Calinescu, G., Mandoiu, I., Prasad, S., Tchervenski, N., Zelikovsky, A.: Power efficient range assignment for symmetric connectivity in static ad hoc wireless networks. Wireless Networks 12, 287-299 (2006)
2. Berend, D., Segal, M., Shpungin, H.: Power efficient resilience and lifetime in wireless ad-hoc networks. In: Proceedings of the 1st ACM international workshop on Foundations of wireless ad hoc and sensor networking and computing, pp. 17-24. ACM, New York (2008)
3. Cagalj, M., Hubaux, J.-P., Enz, C.: Minimum-energy broadcast in all-wireless networks: NP-completeness and distribution issues. In: Proceedings of the 8th annual international conference on Mobile computing and networking, pp. 172-182. ACM, New York (2002)
4. Calinescu, G., Wan, P.-J.: Range assignment for high connectivity in wireless ad hoc networks. In: Proc. International Conference on Ad hoc andWireless Networks, pp. 235-246 (2003)
5. Clementi, A., Huiban, G., Penna, P., Rossi, G., Verhoeven, Y.: Some recent theoretical advances and open questions on energy consumption in ad-hoc wireless networks. In: Proc. of the 3rd Workshop on Approximation and Randomization Algorithms in Communication Networks (ARACNE). Proceedings in Informatics, vol. 15, pp. 23-38. Carleton Scientific (2002)
6. Clementi, A.E.F., Penna, P., Silvestri, R.: Hardness results for the power range assignment problem in packet radio networks. In: Hochbaum, D.S., Jansen, K., Rolim, J.D.P., Sinclair, A. (eds.) RANDOM 1999 and APPROX 1999. LNCS, vol. 1671, pp. 197-208. Springer, Heidelberg (1999)
7. Clementi, A., Penna, P., Silvestri, R.: On the power assignment problem in radio networks. Mobile Networks and Applications 9, 125-140 (2004)
8. Das, A., Marks, R., El-Sharkaw, M., Arabshahi, P., Gray, A.: Minimum power broadcast trees for wireless networks: Integer programming formulations. In: INFOCOM 2003. Twenty-Second Annual Joint Conference of the IEEE Computer and Communications Societies, vol. 2, pp. 1001-1010. IEEE, Los Alamitos (2003)
9. Hsu, T.: Simpler and faster biconnectivity augmentation. Journal of Algorithms 45, 55-71 (2002) (Pubitemid 35359347)
10. Jia, X., Kim, D., Makki, S., Wan, P.-J., Yi, C.-W.: Power assignment for kconnectivity in wireless ad hoc networks. Journal of Combinatorial Optimization 9(2), 213-222 (2005) (Pubitemid 41227418)
11. Kirousis, L., Kranakis, E., Krizanc, D., Pelc, A.: Power consumption in packet radio networks. Theoretical Computer Science 243, 289-305 (2000)
12. Montemanni, R., Gambardella, L.: Exact algorithms for the minimum power symmetric connectivity problem in wireless networks. Computers and Operations Research 32, 2891-2904 (2005) (Pubitemid 40244554)
13. Orman, A., Williams, H.: Survey of different integer programming formulations of the travelling salesman problem. In: Optimisation, Econometric and Financial Analysis, Part 1. Springer, Berlin (2007)
14. Segal, M., Shpungin, H.: On construction of minimum energy k-fault resistant topologies. Ad Hoc Networks 7, 363-373 (2009)
15. Shpungin, H., Segal, M.: k-fault resistance in wireless ad-hoc networks. In: Proceedings of the 2005 joint workshop on Foundations of mobile computing, pp. 89-96. ACM, New York (2005) (Pubitemid 44030735)
16. Yuan, D., Bauer, J., Haugland, D.: Minimum-energy broadcast and multicast in wireless networks: An integer programming approach and improved heuristic algorithms. Ad Hoc Networks 6, 696-717 (2008) (Pubitemid 351474613)