caa a22 4500 475790014 CHVBK 20180406123709.0 cr unu---uuuuu 170329e20001101xx s 000 0 eng 10.1023/A:1019166106277 doi (NATIONALLICENCE)springer-10.1023/A:1019166106277 Frey Andreas aut Approximations for characteristics of nomadic communications [Elektronische Daten] [Andreas Frey] In this paper we consider a mobile communication network in which users are moving along a road. It is desirable that each point of the road is in the range of at least one base‐station such that each user can communicate with a base‐station at any time. We model such a communication network with a Boolean model which we intersect with a line, the road on which the users are moving. Applying point process techniques we derive approximation formulae for the distribution of the covered and uncovered parts of the road. Furthermore, we examine for a rather general model the probability that exactly K users are communicating with a base station. Numerical examples illustrate how accurate the approximations are. Kluwer Academic Publishers, 2000 Telecommunication Systems Kluwer Academic Publishers 15/1-2(2000-11-01), 21-35 1018-4864 15:1-2<21 2000 15 11235 https://doi.org/10.1023/A:1019166106277 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1019166106277 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Frey Andreas aut NATIONALLICENCE 773 0- Telecommunication Systems Kluwer Academic Publishers 15/1-2(2000-11-01), 21-35 1018-4864 15:1-2<21 2000 15 11235 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer