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Revision as of 22:45, 13 June 2013

Combinatorial APS?

For some problems that are at least partly discrete, the basic APS applies a \emph{quantisation} operator. If the quantum is $q_{d}$ for the dimension $d$, the operator is defined by

$$x_{i,d}\leftarrow q_{d}\left\lfloor \left(0.5+x_{i,d}/q_{d}\right)\right.\tag{1}$$

where $\left\lfloor \right.$ is the floor operator.

Now, for combinatorial, it is certainly better to define specific operators for Expansion, Contraction, and Local search, as it has been done, for example, for PSO.