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Investigating the Wireless Wire. One-week NECSI course on Complex Systems, June 2003. Timothy, Mario, Debra, Shiro, Henry, Jan. An example for a ‚smart dust‘ particle:. S. The problem:. R. allow communication where there is no net / satellite. technically spoken:
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Investigating the Wireless Wire One-week NECSI course on Complex Systems, June 2003 Timothy, Mario, Debra, Shiro, Henry, Jan
S The problem: R allow communication where there is no net / satellite
technically spoken: Percolation problem with active elements, as opposed to (classical) passive conductors
The model: • matrix of 15 x 30 cells • radius of transmission: 2 neighbours • (transmit if recieve 2 messages / tick) • refractory time • probability to fire: • Pfire = 1- α(#messages received - redundancy) for #messages received > redundancy • starting with 3 messages • limited lifetime
Questions: • Is the system robust (chaotic propagation)? • Increases lifetime of the system as α increases? • What role plays the density of particles?
Robustness (http://www2.kke.co.jp/mas.e/MASCommunity1.html)
high α / short refractory • or • 2) low density • may cause chaotic propagation. Results:
Robustness, continued • Analogy to reentrant waves on heart tissue (Smith & Cohen 1984, actual research)
2) Increasing α: (graph of Tim) Results: lifetime of system can be doubled
3) Varying the density (Graph of Tim) Results: perfect coverage is not optimal
Conclusion: • robust connection doable • lifetime of system can be doubled! Possible applications: after earthquakes, battlefield, but also: cellphone towers in neighbourhood