Three tabu search methods for the MI-FAP applied to 802.11 networks

Sacha Varone; Nicolas Zufferey

RAIRO - Operations Research - Recherche Opérationnelle (2008)

  • Volume: 42, Issue: 4, page 501-514
  • ISSN: 0399-0559

Abstract

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Wireless LAN using IEEE 802.11 networks are now widely deployed at home by residential users or in hot spots by telecommunication operators. A hot spot is a place where a set of access points (APs) are located nearby each other and can serve many users. Since perturbations can degrade the quality of the signal, a careful channel assignment to each AP has to be done. Channel assignment of APs at hot spots, and more generally setup configuration and management, is still often done manually. In this paper, we consider a modeling that enables optimization of channel assignment with respect to the dynamic behavior of end-users. We prove our problem’s formulation to correspond to the Minimum Interference Frequency Assignment Problem, and hence the problem to be NP-hard. We propose and compare three different tabu search methods to solve the problem of channel assignment in 802.11 WLAN networks. The first one, called T a b u O b j , tackles the problem using directly the objective function associated with the model. The second one, called T a b u A p p r o x O b j , uses a simplified and approximate objective function in order to visit more solutions during the same amount of time, i.e. to be quicker than T a b u O b j . The third one, called T a b u L e v e l , is even more quicker and is based on the following philosophy: under time constraints, it could be judicious to explore very quickly lots of solutions, rather than spending much computation time for the evaluation of each solution, and hence only considering a few solutions. Those three methods are then compared based on time constraints and on the quality of their solutions.

How to cite

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Varone, Sacha, and Zufferey, Nicolas. "Three tabu search methods for the MI-FAP applied to 802.11 networks." RAIRO - Operations Research - Recherche Opérationnelle 42.4 (2008): 501-514. <http://eudml.org/doc/245621>.

@article{Varone2008,
abstract = {Wireless LAN using IEEE 802.11 networks are now widely deployed at home by residential users or in hot spots by telecommunication operators. A hot spot is a place where a set of access points (APs) are located nearby each other and can serve many users. Since perturbations can degrade the quality of the signal, a careful channel assignment to each AP has to be done. Channel assignment of APs at hot spots, and more generally setup configuration and management, is still often done manually. In this paper, we consider a modeling that enables optimization of channel assignment with respect to the dynamic behavior of end-users. We prove our problem’s formulation to correspond to the Minimum Interference Frequency Assignment Problem, and hence the problem to be NP-hard. We propose and compare three different tabu search methods to solve the problem of channel assignment in 802.11 WLAN networks. The first one, called $TabuObj$, tackles the problem using directly the objective function associated with the model. The second one, called $TabuApproxObj$, uses a simplified and approximate objective function in order to visit more solutions during the same amount of time, i.e. to be quicker than $TabuObj$. The third one, called $TabuLevel$, is even more quicker and is based on the following philosophy: under time constraints, it could be judicious to explore very quickly lots of solutions, rather than spending much computation time for the evaluation of each solution, and hence only considering a few solutions. Those three methods are then compared based on time constraints and on the quality of their solutions.},
author = {Varone, Sacha, Zufferey, Nicolas},
journal = {RAIRO - Operations Research - Recherche Opérationnelle},
keywords = {WLAN; channel assignment; coloring; tabu search},
language = {eng},
number = {4},
pages = {501-514},
publisher = {EDP-Sciences},
title = {Three tabu search methods for the MI-FAP applied to 802.11 networks},
url = {http://eudml.org/doc/245621},
volume = {42},
year = {2008},
}

TY - JOUR
AU - Varone, Sacha
AU - Zufferey, Nicolas
TI - Three tabu search methods for the MI-FAP applied to 802.11 networks
JO - RAIRO - Operations Research - Recherche Opérationnelle
PY - 2008
PB - EDP-Sciences
VL - 42
IS - 4
SP - 501
EP - 514
AB - Wireless LAN using IEEE 802.11 networks are now widely deployed at home by residential users or in hot spots by telecommunication operators. A hot spot is a place where a set of access points (APs) are located nearby each other and can serve many users. Since perturbations can degrade the quality of the signal, a careful channel assignment to each AP has to be done. Channel assignment of APs at hot spots, and more generally setup configuration and management, is still often done manually. In this paper, we consider a modeling that enables optimization of channel assignment with respect to the dynamic behavior of end-users. We prove our problem’s formulation to correspond to the Minimum Interference Frequency Assignment Problem, and hence the problem to be NP-hard. We propose and compare three different tabu search methods to solve the problem of channel assignment in 802.11 WLAN networks. The first one, called $TabuObj$, tackles the problem using directly the objective function associated with the model. The second one, called $TabuApproxObj$, uses a simplified and approximate objective function in order to visit more solutions during the same amount of time, i.e. to be quicker than $TabuObj$. The third one, called $TabuLevel$, is even more quicker and is based on the following philosophy: under time constraints, it could be judicious to explore very quickly lots of solutions, rather than spending much computation time for the evaluation of each solution, and hence only considering a few solutions. Those three methods are then compared based on time constraints and on the quality of their solutions.
LA - eng
KW - WLAN; channel assignment; coloring; tabu search
UR - http://eudml.org/doc/245621
ER -

References

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  1. [1] K.I. Aardal, S.P.M. van Hoesel, A.M.C.A. Koster, C. Mannino, and A. Sassano, Models and solution techniques for frequency assignment problems. A Quaterly Journal of Operations Research 1 (2003) 261–317. Zbl1042.90049MR2030013
  2. [2] R. Battiti and G. Tecchiolli, The reactive tabu search. ORSA J. Comput. 6 (1994) 126–140. Zbl0807.90094
  3. [3] I. Bloechliger and N. Zufferey, A graph coloring heuristic using partial solutions and a reactive tabu scheme. Comput. Oper. Res. 35 (2008) 960–975. Zbl1278.90327
  4. [4] A. Eisenblätter, M. Grötschel, and A.M.C.A. Koster, Frequency assignment and ramifications of coloring. Discussiones Mathematicae Graph Theory 22 (2002) 51–88. Zbl1055.05147MR1936226
  5. [5] P. Galinier and J.-K. Hao, Hybrid Evolutionary Algorithms for Graph Coloring. J. Comb. Optim. 3 (1999) 379–397. Zbl0958.90071MR1733298
  6. [6] F. Glover, Tabu search – part I. ORSA J. Comput. 1 (1989) 190–205. Zbl0753.90054
  7. [7] F. Glover, Tabu search – part II. ORSA J. Comput. 2 (1990) 4–32. Zbl0771.90084
  8. [8] F. Glover and M. Laguna, Tabu Search. Kluwer Academic Publishers, Boston (1997). Zbl0930.90083MR1665424
  9. [9] W.K. Hale, Frequency assignment: Theory and applications, in Proceedings of the IEEE 68 (1980) 1497–1514. 
  10. [10] P. Hansen, The steepest ascent mildest descent heuristic for combinatorial programming, in Proc. of Congress on Numerical Methods in Combinatorial Optimization, Capri, Italy (1986). 
  11. [11] Jin-Kao Hao, Raphaël Dorne, and Philippe Galinier, Tabu search for frequency assignment in mobile radio networks. J. Heuristics 4(1) (1998) 47–62. Zbl1071.90578
  12. [12] A. Hertz and D. de Werra, Using tabu search techniques for graph coloring. Computing 39 (1987) 345–351. Zbl0626.68051MR923459
  13. [13] L. Hui and N.K. Shankaranarayanan, A distributed channel allocation technique for throughput improvement in a dense wlan environment, in Proc. of 2004 IEEE International Conference on Acoustics, Speech, and Signal Processing 5 (2005) V–345–8. 
  14. [14] K.K. Leung and B.J. Kim, Frequency assignment for IEEE 802.11 wireless networks, in Proc. of 58th Vehicular Technology Conference (2003) 1422–1426. 
  15. [15] Y. Ming, N. Karmarkar, and A. Malvankar, A dynamic radio channel allocation scheme for wireless lans, in IEEE/Sarnoff Symposium on Advances in Wired and Wireless Communication (2005) 17–20. 
  16. [16] R. Montemanni, J.N.J. Moon, and D.H Smith, An improved tabu search algorithm for the fixed-spectrum frequency-assignment problem. IEEE Trans. Vehicular Technology 52 (2003) 891–901. 
  17. [17] P802.11, IEEE Standard for Wireless LAN-Medium Access Control and Physical Layer Specification, 1999. http://ieee802.org/11/. 
  18. [18] D. Rossier, S. Varone, J.-F. Wagen, F. Gamba, V. Inguscio, and E. Marchon, System für die dynamische Zuweisung von Trägerfrequenzen zu Zugriffspunkten eines lokalen Funknetzes. Patent 03405356.1, May (2003). 

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