Abstract
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.
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Frey, A. Approximations for characteristics of nomadic communications. Telecommunication Systems 15, 21–35 (2000). https://doi.org/10.1023/A:1019166106277
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DOI: https://doi.org/10.1023/A:1019166106277