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# Quality measures for scenario trees | ||
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One crucial aspect related to stochastic programming is that scenario generation plays a significant part of the modelling process. This is a point that is often overlooked in the literature on stochastic programming applications, which has nonnegligible consequences to the quality of the model obtained. | ||
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Figure {ref}`SP_flowchart` illustrates how should think about the process of developing stochastic programming models. That diagram highlights the central role that scenario generation has in the process. | ||
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(SP_flowchart)= | ||
```{mermaid} | ||
:align: center | ||
:caption: A flowchart representing the modelling process using stochastic programming | ||
%%{ init: { 'flowchart': { 'curve': 'stepAfter' } } }%% | ||
flowchart TB | ||
id1[Decision process] | ||
id2[Stochastic process] | ||
id3[Scenario tree] | ||
id4[Stochastic programming model] | ||
id1 --> id3 | ||
id2 --> id3 | ||
id3 --> id4 | ||
classDef default fill:white, stroke:black, stroke-width:2px; | ||
```` | ||
As such, one common saying related to stochastic programming model is "garbage in equals garbage out". This refers to the fact that, having a sophisticated stochastic programming model, perhaps including many of the features we will discuss in the next chapters, is not enough for one to have a reliable model for analyses. One must, just as carefully, consider whether the quality of the uncertainty representation, as they majorly influence the quality of the solutions obtained. | ||
## Error and stability of scenario trees | ||
There are two measures that one must consider when generating scenario trees: | ||
1. Error: scenario trees naturally encode an inherent amount of error, as they are *approximations* of the a stochastic process. On the other hand, | ||
2. Stability | ||