Minimizing the span of d-walks to compute optimum frequency assignments

Mathematical Programming, Series B

Volumn 91, Issue 2, 2002, Pages 357-374

  Avenali, Alessandro ^a   Mannino, Carlo ^a   Sassano, Antonio ^a  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

Minimum span frequency assignment problem; Radio network design; Telecommunication systems

Indexed keywords

ALGORITHMS; BANDWIDTH; BENCHMARKING; PROBLEM SOLVING; SIGNAL INTERFERENCE; TELECOMMUNICATION SYSTEMS;

MINIMUM SPAN FREQUENCY ASSIGNMENT PROBLEM; RADIO NETWORK DESIGN;

FREQUENCY ALLOCATION;

EID: 3242657867     PISSN: 00255610     EISSN: None     Source Type: Journal    
DOI: 10.1007/s101070100247     Document Type: Article

References (38)

1. Aardal, K.I., Hipolito, A., van Hoesel, C.P.M., Jansen, B. (1996): A branch-and-cut algoritlim for the frequency assignment problem. Research Memorandum 96/011, Maastricht University. Available at http://www.unimaas.nl/ ~svhoesel/
2. Allen, S.M., Smith, D.H., Hurley, S. (1999): Lower bounding techniques for frequency assignment. Discrete Math. 197/198, 41-52
3. Allen, S.M., Hurley, S., Smith, D.H.,Thiel, S.U. (1997): Using lower bounds in minimum span frequency assignment. In: Voss, S., Martello, S., Osman, I.H., Roucairol, C. (eds.) Meta-Heuristics: Advances and Trends in Local Search Paradigms for Optimisation. Kluwer Academic Publishers
4. Anderson, L.G. (1973): A simulation study of some dynamic channel assignment algorithms in a high capacity mobile telecommunications system. IEEE Trans. Commun. 21, 1294-1301
5. Battiti, R., Bertossi, A., Cavallaro, D. (2001): A randomized saturation degree heuristic for channel assignment in cellular radio networks. IEEE Transactions on Vehicular Technology 50(2), 364-374
6. Bouju, A., Boyce, J.F., Dimitropoulos, C.H.D., Vom Scheldt, G., Taylor, J.G. (1995): Tabu search for the radio links frequency assignment problem. In: Conference on Applied Decision Technologies: Modern Heuristic Methods, pp. 233-250, Brunel University
7. Borndörfer, R., Eisenblätter, A., Grötschel, M., Martin, A. (1998): The orientation model for frequency assignment problems. Technical Report TR 98-01, Konrad-Zuse-Zentrum für Informationstechnik Berlin
8. Borndörfer, R., Eisenblätter, A., Grötschel, M., Martin, A. (1998): Frequency assignment in cellular phone networks. Ann. Oper. Res. 76, 73-93
9. Castelino, D.J., Hurley, S., Stephens, N.M. (1996): A tabu search algorithm for frequency assignment. Ann. Oper. Res. 63, 301-319
10. Costa, D. (1993): On the use of some known methods for T-colourings of graphs. Ann. Oper. Res. 41, 343-358
11. Crompton, W., Hurley, S., Stephens, N.M. (1994): A parallel genetic algorithm for frequency assignment problems. In: Proc. IMACS/IEEE Conference on Signal Processing, Robotics and Neural Networks pp. 81-84, Lille, France
12. Duque-Antó, M., Kunz, D., Rüber, B. (1993): Channel assignment for cellular radio using simulated annealing. IEEE Trans. Vehicular Technol. 42, 14-21
13. Fischetti, M., Lepschy, C., Minerva, G., Jacur, G.R., Toto, E. (2000): Frequency assignment in mobile radio systems using branch-and-cut techniques. Eur. J. Oper. Res. 123, 241-255
14. Funabiki, N., Takefuji, Y. (1991): A neural network algorithm for channel assignments in cellular radio networks. IEEE Trans. Vehicular Technol. 40, 14-21
15. Gamst, A. (1986): Some lower bounds for a class of frequency assignment problems. IEEE Trans. Vehicular Technol. 35, 8-14
16. Harary, F. (1969): Graph Theory. Addison-Wesley, Reading
17. Heller, H.: Result available at http://fap.zib.de/problems/Philadelphia/
18. Hurley, S., Smith, D.H., Thiel, S.U. (1996): A comparison of local search algorithms for radio link frequency assignment problems. ACM Symposium on Applied Computing, pp. 251-257
19. Hurley, S., Smith, D.H., Thiel, S.U. (1997): FASoft: a system for discrete channel frequency assignment. Radio Sci. 32, 1921-1939
20. Janssen, J., Kilakos, K. (1996): Polyhedral analysis of channel assignment problems: (I) tours. Technical Report CDAM-96-17, London School of Economics
21. Kim, S., Kim, S.-L. (1994): A two-phase algorithm for frequency assignment in cellular mobile systems. IEEE Trans. Vehicular Technol. 43, 542-548
22. Koster, A.M.C.A. (1999): Frequency Assignment - Models and Algorithms. PhD thesis, Maastricht University
23. Koster, A.M.C.A., v. Hoesel, C.P.M., Kolen, A.W.J. (1999): Solving frequency assignment problems via tree-decomposition. Electron. Notes Discrete Math. 3
24. Koster, A.M.C.A., van Hoesel, C.P.M., Kolen, A.W.J. (1998): The partial constraint satisfaction problem: facets and lifting theorems. Oper. Res. Lett. 23(3-5), 89-97
25. Kunz, D. (1991): Channel assignment for cellular radio using neural networks. IEEE Trans. Vehicular Technol. 40, 188-193
26. Leese, R. (1996): Tiling methods for channel assignment in radio communication networks. In: 3rd ICIAM Congress
27. Lochtie, G.D., Mehler, M.J. (1995): Channel assignment using a subspace approach to neural networks. In: IEE Conference Publication 407, 296-300
28. Maniezzo, V., Montemanni, R. (2000): An exact algorithm for the min-interference frequency assignment problem. Technical Report CSR99-02, Scienze dell'Informazione, Università di Bologna
29. Mannino, C., Sassano, A. (1997): An enumerative algorithm for the frequency assignment problem. Technical Report 10-96. http://www.dis.uniroma1. it/, to appear
30. Raychaudhuri, A. (1985): Intersection Assignments, T-Colourings and Powers of Graphs. PhD thesis, Rutgers University
31. Sivarajan, K.N., McEliece, R.J., Ketchum, J.W. (1989): Channel Assignment in Cellular Radio. Proceedings of the 39th IEEE Vehicular Technology Conference, pp. 846-850
32. Smith, D.H., Hurley, S. (1997): Bounds for the frequency assignment problem. Discrete Math. 167/168, 571-582
33. Smith, D.H., Hurley, S., Alien, S.M. (2000): A new lower bound for the channel assicnment problem. IEEE Trans. Vehicular Technol. 49, 1265-1272
34. Smith, D.H., Hurley, S., Thiel, S.U. (1998): Improving heuristics for the frequency assignment problem. Eur. J. Oper. Res. 107, 76-86
35. Sung, C.W., Wong, W.S. (1997): Sequential packing algorithm for channel assignment under cochannel and adjacent channel interference constraint. IEEE Trans. Vehicular Technol. 46, 676-685
36. Tcha, D., Chung, Y., Choi, T. (1997): A new lower bound for the frequency assignment problem. IEEE/ACM Trans. Networking 5, 34-39
37. Valenzuela, C., Hurley, S., Smith, D.H. (1998): A permutation based genetic algorithm for minimum span frequency assignment. Lecture Notes in Computer Science 1498, 907-916
38. Wang, W., Rushforth, C.K. (1997): Local search for channel assignment in cellular mobile networks. DIMACS Series in Discrete Mathematics and Theoretical Computer Science 35, 689-709