Abstract: The dynamic complexity and the operational risk inherent in a system are defined and incorporated into a mathematical model of the system. The mathematical model is emulated to predict the states of instability that can occur within the operation of the system. Dynamic complexity of a service is demonstrated where there is an observed effect where the cause can be multiple and seemingly inter-related effects of a many-to-one or many-to-many relationship. Having assessed the dynamic complexity efficiency and the operational risk index of a service (e.g., a business, process or information technology), these indexes can be employed to emulate all attributes of a service, thereby determining how a service responds in multiple states of operation, the states where the dynamic complexity of a service can occur, optimal dynamic complexity efficiency of a service, and the singularities wherein a service becomes unstable.

Abstract: An automated system and method is provided for system architects to model enterprise-wide architectures of information systems. From an initial model of a proposed system architecture, performance metrics are modeled and compared against a set of user-defined corporate and business requirements, including cost, quality of service and throughput. For unacceptable metrics, modifications to the system architecture are determined and proposed to the system architect. If accepted, the model of the system architecture is automatically modified and modeled again. Once the modeled performance metrics satisfy the corporate and business requirements, a detailed description of the system architecture derived from the model is output. The model of the system architecture also enables a business ephermeris or precalculated table cross referencing enterprise situation and remedy to be formed.