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Introduction
Time is continuous but can be modelled in discrete steps. There are three different ways:
continuous time: state changes occur continuously across time
discrete time: time axis is divided in time steps which are regular or fixed
discrete event: will check the process and its parameters when a change to the state occurs. If you know that changes only happen at certain moments, then skip to those moments.
Explanation
There are different types of time
linear: it just goes on (e.g. the real time, continuously getting older)
cyclic: repetition, certain moments have the same characteristics (e.g. rush hour, green vegetation; repetition over seasons, weekdays)
Branching: in the past or in the future. The further we go back the vaguer the information becomes.