On Modeling a Complex System With Interacting Components

This paper presents an approach for modeling a system with complex interactions among the components, in which applications can be found in various fields such as biology, physics, business, and elsewhere. In the general setting, a system consists of a finite number of parts. For each part, it is necessary to choose one of a finite number of interchangeable components so as to maximize the performance of the system, which depends also on the interactions among the chosen components. The proposed models include controllable parameters whose values reflect the system size and the amount of interaction among the components. Computer simulation and analytical arguments are used to obtain results about the expected performance of such a system and the effects of the interactions among the components on that quantity.

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