On a New Type of Information Processing for Efficient Management of Complex Systems

TL;DR

This paper proposes a novel information processing approach using self-organization of prime integer relations to manage complex systems efficiently by controlling their structural complexity, potentially simplifying optimization.

Contribution

It introduces a new method based on prime integer relations for representing and controlling the structural complexity of complex systems, enabling simplified optimization.

Findings

Structural complexity correlates with system performance.

Controlling structural complexity can optimize system behavior.

Performance may follow a concave function relative to complexity.

Abstract

It is a challenge to manage complex systems efficiently without confronting NP-hard problems. To address the situation we suggest to use self-organization processes of prime integer relations for information processing. Self-organization processes of prime integer relations define correlation structures of a complex system and can be equivalently represented by transformations of two-dimensional geometrical patterns determining the dynamics of the system and revealing its structural complexity. Computational experiments raise the possibility of an optimality condition of complex systems presenting the structural complexity of a system as a key to its optimization. From this perspective the optimization of a system could be all about the control of the structural complexity of the system to make it consistent with the structural complexity of the problem. The experiments also indicate that the performance of a complex system may behave as a concave function of the structural complexity. Therefore, once the structural complexity could be controlled as a single entity, the optimization of a complex system would be potentially reduced to a one-dimensional concave optimization irrespective of the number of variables involved its description. This might open a way to a new type of information processing for efficient management of complex systems.