Abstract
The dimensioning of a large scale network, for the seismic monitoring, is modelled as a continuos covering problem: a discrete approximation of it is given, whose optimal solutions can be computed by a new effective technique, particularly aimed at this kind of problems. Subsequently a general theoretical framework of continuos coverings and their discrete approximations is outlined and a theorem is finally proved about the convergence of the optimal discrete solution to the optimal continuos covering.
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References
VERCELLIS,C., An Algorithm for the Multiple Covering Problem, to appear in Quaderni del Dipartimento di Ricerca Operativa e Scienze Statistiche-Università di Pisa.
SATO, Y. and SKOKO, D., Optimum Distribution of Seismic Observation Points, II, Bull. Earthq. Res. Inst., vol. 45 (1965), pp. 451–457.
BULAND, R., The Mechanics of Locating Earthquakes, Bull. Seism. Soc. Am., vol. 66 (1976), n. 1, pp. 173–187.
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© 1978 Springer-Verlag
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Archetti, F., Betrò, B. (1978). The multiple covering problem and its application to the dimensioning of a large scale seismic network. In: Stoer, J. (eds) Optimization Techniques. Lecture Notes in Control and Information Sciences, vol 7. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0006544
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DOI: https://doi.org/10.1007/BFb0006544
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