Abstract
The base station placement problem, with n potential candidate sites is NP-Hard with 2n solutions (Mathar and Niessen, Wirel. Netw. 6, 421–428, 2000). When dimensioned on m unknown variable settings (e.g., number of power settings + number of tilt settings, etc.) the computational complexity becomes (m+1)n (Raisanen, PhD. thesis, 2006). We introduce a novel approach to reduce the computational complexity by dimensioning sites only once to guarantee traffic hold requirements are satisfied. This approach works by determining the maximum set of service test points candidate sites can handle without exceeding a hard traffic constraint, T MAX . Following this, the ability of two evolutionary strategies (binary and permutation-coded) to search for the minimum set cover are compared. This reverses the commonly followed approach of achieving service coverage first and then dimensioning to meet traffic hold. To test this approach, three realistic GSM network simulation environments are engineered, and a series of tests performed. Results indicate this approach can quickly meet network operator objectives.
Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.References
Akl, R.G., Hedge, M.V., Naraghi-Pour, M., Min, P.S.: Multicell cdma network design. IEEE Trans. Veh. Technol. 50, 711–722 (2001)
Amaldi, E., Capone, A., Malucelli, F.: Improved models and algorithms for UMTS radio planning. In: Proceedings 54th IEEE Conference on Vehicular Technology, vol. 2, pp. 920–924 (2001a)
Amaldi, E., Capone, A., Malucelli, F.: Optimizing base station siting in UMTS networks. In: Proceedings 53rd IEEE Conference on Vehicular Technology, vol. 4, pp. 2828–2832 (2001b)
Anderson, H.R., McGeehan, J.P.: Optimizing microcell base station locations using simulated annealing techniques. In: Proceedings 44th IEEE Conference on Vehicular Technology, pp. 858–862 (1994)
Berny, A., Sarzeud, O.: Optimization de resaux de radiotelephonie mobile par recherche locale et selection. JNCP, Marseille, France, 953–966 (2000)
Calegari, P., Guidec, F., Kuonen, P., Wagner, D.: Genetic approach to radio network optimizations for mobile systems. In: Proceedings 47th IEEE Conference on Vehicular Technology, vol. 2, pp. 755–759 (1997)
Chamaret, B., Josselin, S., Kuonen, P., Pizarroso, M., Salas-Manzanedo, B., Ubeda, S., Wagner, D.: Radio network optimization with maximum independent set search. In: Proceedings of the IEEE VTC’97 Conference, Phoenix, AZ, May 1997, pp. 770–774
Deb, K.: Multi-Objective Optimization Using Evolutionary Algorithms. Wiley, Chichester (2001)
Deb, K., Agrawal, S., Pratap, A., Meyarivan, T.: A fast elitist non-dominated sorting genetic algorithm for multi-objective optimization: Nsga-ii. In: Lecture Notes in Computer Science, vol. 1917, pp. 849–858 (2000)
Galota, M., Glasser, C., Reith, S., Vollmer, H.: A polynomial-time approximation scheme for base station positioning in UMTS networks. In: Proceedings of the 5th International Workshop on Discrete Algorithms and Methods for Mobile Computing and Communications, Rome, Italy, July 2001, pp. 52–59
Ganz, A., Krishna, C.M., Tang, D., Haas, Z.J.: On optimal design of multiter wireless cellular systems. IEEE Commun. Mag. 16(5), 88–93 (February 1997)
Han, J.K., Park, B.S., Choi, Y.S.: Genetic approach with a new representation base station placement in mobile communications. In: Proceedings 54th IEEE Conference on Vehicular Technology, vol. 4, pp. 2703–2707 (2001)
Hata, M.: Empirical formula for propagation loss in land mobile radio services. IEEE Trans. Veh. Technol. 29(3), 317–325 (1980)
Huang, X.: Automatic cell planning for mobile network design: optimization models and algorithms. Ph.D. thesis, Universität Karlsruhe (2001)
Huang, X., Behr, U., Wiesbeck, W.: Automatic cell planning for a low-cost and spectrum efficient wireless network. In: Proceedings of Global Telecommunications Conference (GLOBECOM), vol. 1, pp. 276–282 (2000)
Ibbetson, L.J., Lopes, L.B.: An automatic base station placement algorithm. In: Proceedings of the IEEE VTC’97 Conference, Phoenix, AZ, May 1997, pp. 770–774
Julstrom, B.A., Raidl, G.R.: A permutation-coded evolutionary algorithm for the bounded-diameter minimum spanning tree problem. In: 2003 Genetic and Evolutionary Computation Conference’s Workshops Proceedings, Workshop on Analysis and Design of Representations, pp. 2–7 (2003)
Laki, I., Farkas, L., Nagy, L.: Cell planning in mobile communication systems using sga optimization. In: Proceedings of International Conference on Trends in Communications, vol. 1, pp. 124–127 (2001)
Lee, C.Y., Kang, H.G.: Cell planning with capacity expansion in mobile communications: a tabu search approach. IEEE Trans. Veh. Technol. 49(5), 1678–1691 (March 2000)
Mathar, R.M., Niessen, T.: Optimum positioning of base stations for cellular radio networks. Wirel. Netw. 6, 421–428 (2000)
Mathar, R.M., Schmeink, M.: Optimal base station positioning and channel assignment for 3G mobile networks by integer programming. Ann. Oper. Res. 107, 225–236 (2001)
Meunier, H., Talbi, E., Reininger, P.: A multiobjective genetic algorithm for radio network optimization. In: Proceedings of the 2000 Congress on Evolutionary Computation, vol. 1, pp. 317–324 (2000)
Molina, A., Athanasiadou, G.E., Nix, A.R.: The automatic location of base-stations for optimised cellular coverage: a new combinatorial approach. In: Proceedings of the IEEE VTC’99 Conference, pp. 606–610 (1999)
Molina, A., Athanasiadou, G.E., Nix, A.R.: Optimised base-station location algorithm for next generation microcellular networks. Electron. Lett. 36(7), 668–669 (2000)
Raisanen, L.: Multi-objective site selection and analysis for GSM cellular network planning. Ph.D. thesis, Cardiff University (2006)
Reininger, P., Caminada, A.: Model for gsm radio network optimization. Presented at the 2nd ACM Int. Conf. Discrete Algorithms and Methods for Mobility, Dallas, Texas, a
Reininger, P., Caminada, A.: Connectivity management on mobile network design. Presented at the 10th Conf. Eur. Consortium for Mathematics in Industry, Goteborg, Sweden, b
Reininger, P., Iksal, S., Caminada, A., Korczak, J.J.: Multi-stage optimization for mobile radio network planning. In: Proceedings of the IEEE VTC’99 Conference, vol. 3, pp. 2034–2038 (1999)
Tcha, D.-W., Myung, Y.-S.: Base station location in a cellular cdma system. Telecommunication Syst. 14, 163–173 (2000)
Tutschku, K.: Interference minimization using automatic design of cellular communication networks. In: Proceedings of the IEEE VTC’98 Conference, pp. 634–638 (1998)
Vasquez, M., Hao, J.-K.: A heuristic approach for antenna positioning in cellular networks. J. Heuristics 7, 443–472 (2001a)
Vasquez, M., Hao, J.-K.: A heuristic approach for antenna positioning in cellular networks. J. Heuristics 7, 443–472 (2001b)
Zimmermann, J., Hons, R., Muhlenbein, H.: ENCON: evolutionary algorithm for the antenna placement problem. Comput. Ind. Eng. 44, 209–226 (2003)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Raisanen, L. A permutation-coded evolutionary strategy for multi-objective GSM network planning. J Heuristics 14, 1–21 (2008). https://doi.org/10.1007/s10732-007-9024-4
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10732-007-9024-4