Scalability in Computing and Robotics

Efficient engineered systems require scalability. A scalable system has increasing performance with size. In an ideal case, the increase in (e.g., speedup) corresponds to number of units that are added system. However, if multiple work on same task, then coordination among these is required. This can introduce overheads impact performance. The costs lead sublinear improvement or even diminishing there also implement efficient and exploit collaboration attain superlinear improvement. Modeling scalability dynamics key understanding systems. Known laws scalability, such as Amdahl's law, Gustafson's Gunther's Universal Scalability Law, minimalistic phenomenological models explain a rich variety behaviors through concise equations. While useful gain general insights, nature may limit underlying dynamics, they detached from first principles could units. Through decentralized approach, we propose model based generic interactions between able describe, specific cases, any pattern included by previously reported laws. proposed built principles, at least microscopic description interaction units, therefore potential contribute better behavior We show this be applied diverse set systems, parallel supercomputers, robot swarms, wireless sensor networks, creating unified view interdisciplinary design for