  We propose a space mapping-based optimization algorithm for microscopic
interacting particle dynamics which are inappropriate for direct optimization.
This is of relevance for example in applications with bounded domains such that
the microscopic optimization is difficult. The space mapping algorithm exploits
the relationship of the microscopic description of the interacting particle
system and the corresponding macroscopic description as partial differential
equation in the "many particle limit". We validate the approach with the help
of a toy problem that allows for direct optimization. Then we study the
performance of the algorithm in two applications. An evacuation dynamic is
considered and the transportation of goods on a conveyor belt is optimized. The
numerical results underline the feasibility of the proposed approach.
