2018
DOI: 10.48550/arxiv.1808.03830
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A Simple Network of Nodes Moving on the Circle

Dimitris Cheliotis,
Ioannis Kontoyiannis,
Michail Loulakis
et al.

Abstract: Two simple Markov processes are examined, one in discrete and one in continuous time, arising from idealized versions of a transmission protocol for mobile, delay-tolerant networks. We consider two independent walkers moving with constant speed on either the discrete or continuous circle, and changing directions at independent geometric (respectively, exponential) times. One of the walkers carries a message that wishes to travel as far and as fast as possible in the clockwise direction. The message stays with … Show more

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