differential evolution, island model, synchronous migration, migration parameters, test functions.

A parallel island model is applied to some variants of adaptive differential evolution (DE) in order to study if migration can bring an increase of performance of the algorithms. The population is divided among several independent islands using a ring topology. In the proposed ring topology, individuals migrate between the neighboring islands. The influence of different control parameters of synchronous migration in the island model is studied. The parameters controlling migration are the number of emigrants and its selection policy, integration policy of immigrants, migration decision criterion, and selection of islands for migration. Parallel variants of DE are tested on benchmark of six well-known test problems of dimension D = 30 and their performance (reliability and the number of function evaluations) are compared mutually as well as with the corresponding serial versions of adaptive differential evolution.