In the past, when the volume of activities was not yet high and the limitations of many sources were meaningless, humans sought to find the best ways to carry out their activities. Today, expanding activities on the one hand, and the limitation of resources and time to carry out activities as well as their cost effectiveness, on the other hand, has made it more important to make optimal activities. Optimizing activities is optimized by considering the constraints and factors that should be taken into account in this activity. Considering all the criteria of the discipline as technical constraints and budget, material and time constraints, optimization in the design and implementation of structures to find the appropriate geometry of structures (topologies) or their components, is a suitable form for structures or dimensions appropriate to the purpose. In most researches, the optimization of structures is decisive, notwithstanding the uncertainties involved. In recent years, the problem of the reliability of the instrumentation systems in optimization has become a concern for designers. This research intends to describe the optimization of the concrete structure with consideration of the reliability and related parameters, and to study the studies carried out in this field.