A Hybrid Approach for Mathematical Representation of Parallel Design

The best software development approaches are encapsulated in design patterns. Parallel design patterns are the patterns used in the development of parallel software. The proposed mathematical representation of design patterns provides better representation and understanding. The hybrid representation of the pattern includes all the key features such as visualization, relationship, class representation, and order specification from the existing languages (i.e., LePUS, ExLePUS, BPSL, and LOTOS) of the design patterns specifically for the parallel design. Furthermore, this proposed parallel design representation incorporates ordering constructs such as sequencing, synchronization, and parallel processing as a unique approach. The proposed pattern representation helps with the structural, behavioral, and collaborative aspects of the parallel design. The mathematical and visual representation of this approach leads to the robust and comprehensive parallel design of the software.