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Iterated local search : ウィキペディア英語版
Iterated local search

Iterated Local Search (ILS) is a term in applied mathematics and computer science
defining a modification of local search or hill climbing methods for solving discrete optimization problems.
Local search methods can get stuck in a local minimum, where
no improving neighbors are available.
A simple modification consists of ''iterating'' calls to the local search routine,
each time starting from a different initial configuration. This is called ''repeated local search'',
and implies that the knowledge obtained during the previous local search phases
is not used.
Learning implies that the previous history, for example the memory about the previously found local minima,
is mined to produce better and better starting points for local search.

The implicit assumption is that of a ''clustered distribution of local minima'':
when minimizing a function, determining good local minima is easier when starting from a local minimum with a
low value than when starting from a random point.
The only caveat is to
avoid confinement in a given attraction basin, so that the ''kick'' to transform
a local minimizer into the starting point for the next run has to be appropriately strong,
but not too strong to avoid reverting to memory-less random restarts.
Iterated Local Search is based on building a sequence of locally optimal solutions by:
# perturbing the current local minimum;
# applying local search after starting from the modified solution.
The perturbation strength has to be sufficient to lead the trajectory to a different
attraction basin leading to a different local optimum.
The method has been applied to several Combinatorial Optimization Problems including the Job-Shop Scheduling Problems, Flow-Shop Problems, Vehicle Routing Problems as well as many others.
== References ==


抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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