Complexity and mission computability of adaptive computing systems
This addresses mission-critical computing challenges, particularly for military applications, but appears incremental as it builds on existing complexity theory with specific constraints.
The paper tackles the problem of polynomial-time computational problems failing to complete in mission-critical environments due to limited resources, defining a 'mission class' subclass and investigating models to optimize energy, memory, and efficiency for approximate solutions within constrained time.
There is a subset of computational problems that are computable in polynomial time for which an existing algorithm may not complete due to a lack of high performance technology on a mission field. We define a subclass of deterministic polynomial time complexity class called mission class, as many polynomial problems are not computable in mission time. By focusing on such subclass of languages in the context for successful military applications, we also discuss their computational and communicational constraints. We investigate feasible (non)linear models that will minimize energy and maximize memory, efficiency, and computational power, and also provide an approximate solution obtained within a pre-determined length of computation time using limited resources so that an optimal solution to a language could be determined.