Truss structures are widely used in bridges, towers, and buildings. It is necessary to optimize due to their complex load-bearing behavior and demand for material efficiency. The 2-dimentional (2D) and 3-dimentional (3D) trusses are commonly used in structures such as bridges, roof structures, and pylons. The 2D truss structure are known as frame/planer structure where all members lie in a single plane and built based on triangular subunits. While 3D truss structures are referred to as space/spatial structures having tetrahedral subunits. These trusses are mostly underloaded with vertically upward or downward forces and must be withstand in those conditions. The truss structural optimization problems mostly deal with the minimization of weight, topology optimization, damage detection, of the structures. Numerous uncertainty sources can influence the intrinsic characteristics of the structures. This uncertainty sources can lead to damage the structures. Several structures are design for the uncertain nature of the loading conditions such as seismic noise and ambient vibrations. Moreover, analysis of truss structures is an important aspect to identify the external forces acting on the truss structure and forces acting on each member internally in the truss. Each member of the truss is a two-force member, it simply needed to identify the magnitude of the force on each member, and determine if each member is in tension or compression. These problems are associated with discrete and mixed variables as well as linear and nonlinear constraints. This makes the problem more complex and tedious to solve using gradient based tradition optimization techniques.