Abstract
A radiocommunication system has to satisfy the channel requests in its service area subject to the constraints that the number of channels is limited and co-channel interference must be excluded. This paper explores the possibility of finding optimal or nearly optimal channel assignments in polynomial time. It relates this problem to ‘graph-coloring’ and, if the network is assumed as cellular, to ‘packing in the plane’. An approximation algorithm is designed which satisfies at least a fraction of 1−e −1 of the maximum number of satisfiable requests. Several related versions of the problem are also analysed. For some of them, approximation schemes are discovered. Finally, NP-completeness is shown for a very restricted version and lower bounds for the best performance ratios are discussed (under the P≠NP-assumption).
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R. J. Fowler, M. S. Paterson, and S. L. Tanimoto. Optimal packing and covering in the plane are NP-complete. Information Processing Lett., 12(3):133–137, June 1981.
M. R. Garey and D. S. Johnson. Computers and Intractability: A Guide to the Theory of NP-Completeness. W.H.Freeman and Company, San Francisco, 1979.
M. R. Garey, D. S. Johnson, and L. Stockmeyer. Some simplified NP-complete graph problems. Theor. Comput. Sci., 1(3):237–267, 1976.
F. Gavril. 1974. unpublished.
M. Grevel and A. Sachs. A graph theoretical analysis of dynamic channel assignment algorithms for mobile radiocommunication systems. Siemens Forsch. — u. Entwickl. — Ber., 12(5):298–305, 1983.
D. S. Hochbaum and W. Maass. Approximation schemes for covering and packing problems in image processing and VLSI. J. Assoc. Comput. Mach., 32(1):130–136, 1985.
D. S. Johnson. Approximation algorithms for combinatorial problems. J. Comp. System Sci., 9(3):256–278, 1974.
H. W. Lenstra, Jr. Integer Programming with a Fixed Number of Variables. Report 81-03, University of Amsterdam, Apr. 1981.
S. Sahni and T. Gonzales. P-complete approximation problems. J. Assoc. Comput. Mach., 23(3):555–565, 1976.
H. U. Simon. The Analysis of Dynamic and Hybrid Channel Assignment. SFB 124-B1 10/1988, Universität des Saarlandes, D-6600 Saarbrücken, FRG, May 1988.
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© 1989 Springer-Verlag Berlin Heidelberg
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Simon, H.U. (1989). Approximation algorithms for channel assignment in cellular radio networks. In: Csirik, J., Demetrovics, J., Gécseg, F. (eds) Fundamentals of Computation Theory. FCT 1989. Lecture Notes in Computer Science, vol 380. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-51498-8_39
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DOI: https://doi.org/10.1007/3-540-51498-8_39
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