Artificial intelligence

Abstract: This paper introduces an innovative intelligent system called Adaptive Packing Intelligence (API) for spatial optimization. It builds upon traditional packing models by enabling agent-controlled interactions among geometric objects. Unlike standard methods that enforce strict non-overlap constraints, API offers flexible control over object placement through dynamic agent parameters. These parameters are integrated into phi-functions within the mathematical framework, regulating spatial relationships and supporting three modes: enforced separation, exact contact, and controlled non-overlapping. The system's architecture features a unified mathematical core based on phi-functions for geometric representation, an adaptive Agent for managing real-time interactions, and an optimization engine utilizing gradient-based and heuristic algorithms to identify optimal configurations. API can address various objective functions, including volume minimization, packing density maximization, and energy-based interaction modeling. Its applications extend across medicine, biology, and engineering. By unifying diverse disciplines under a single framework, API

Keywords: phi-function, agent-controlled interactions, mathematical modelling, computational geometry, nonlinear programming.

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