Stochastic approach to customer Equity and Lifetime Value calculations with applications to customer retention models
and some extentions.
A. Ayache, M. Calciu, M. Fradon, F. Salerno
Athens, 35th Annual Conference of the European Marketing Academy, 23-26 May (2006).
Co-author homepages :
S. Roelly (Potsdam Universität),
P. Cattiaux (Université Paul Sabatier, Toulouse 3),
A. Kulik (Ukrainian National Academy of Sciences),
P. Heinrich (Université lille 1),
H. Tanemura (Chiba University, Japan),
A. Ayache (Université de Lille),
A. Olenko (La Trobe University, Melbourne, Australia),
H. M. Alomari (La Trobe University, Melbourne, Australia),
M. Calciu (IAE, Université de Lille),
F. Salerno (IAE, Université de Lille).
Simulations and visualisations
Short animations simulating the behaviour of the above hard core dynamics.
Hard Brownian balls with pairwise attraction, converging toward the triangular lattice. In red, the mean energy of the interacting pairs (total interaction energy divided by the number of pairs).
37 particles,
attraction coefficient 0.1, convergence toward an hexagonal configuration.
The hexagonal cluster follows a Brownian motion which is √37 times slower than the ball Brownian motions.
38 particles, attraction coefficient 0.1, convergence of 38 Brownian balls toward a circular configuration over the triangular grid, which behaves as a √38 times slower Brownian cluster.
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Short animations simulating the behaviour of the above hard core dynamics.
