# 1.2 The Modeling Process - PowerPoint PPT Presentation

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1.2 The Modeling Process. What is Modeling?. Modeling is the application of methods to analyze complex, real-world problems in order to make predictions about what might happen with various actions. *Στόχος. = “aim” or “guess”. Stochastic* Behavior.

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1.2 The Modeling Process

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### What is Modeling?

Modeling is the application of methods to analyze complex, real-world problems in order to make predictions about what might happen with various actions.

*Στόχος

= “aim” or “guess”

### Stochastic* Behavior

A system exhibits probabilistic or stochastic behavior if an element of chance exists. A probabilistic or stochastic model exhibits random effects, whereas a deterministic model does not.

Πάντα ῥεῖ

### Static vs. Dynamic Models

A static model does not consider time, whereas a dynamic model changes with time.

Heraclitus (ca. 535–475 BC)

### Continuous vs. Discrete

In a continuous model, time changes continuously, while in a discrete model, time changes in incremental steps.

Zeno of Elea (ca. 490 BC? – ca. 430 BC?)

### Verification vs. Validation

The process of verification determines if the solution works correctly, while the process of validation establishes if the system satisfies the problem’s requirements.