September 2023
Σ™ Reference Manual
This manual presents Σ™, an object-oriented modeling language dedicated to the description and the simulation of the dynamics of complex industrial and socio-technical systems. Σ™ relies onto two pillars: first, the decomposition of the system into a hierarchy of subsystems, the state of each subsytems being described by means of variables. Second, the description of activities performed by subsystems and modifying their states. Although apparently simple, this way of describing complex systems dynamics turns out to be extremely powerful. Discrete event simulation performed on Σ™ models make it possible to play what-if scenarios, to assess key performance indicators, and to apply optimization techniques.
Σ™ is at the core of the WorldLab™ technology that aims at automatically developing systemic systemic digital twins of complex systems, thereby helping decision-makers to manage their strategic assets.
➤ This manual introduces Σ™ concepts and describes the syntax and the semantics of Σ™ constructs. It provides a reference for WorldLab™ users. Some of the constructs described here are not yet implemented in the Σ™ toolsuite and .we shall mention it explicitly, when it is the case.