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GATE Exam » GATE Study Materials » Mechanical Engineering » Deterministic Models
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Deterministic Models

This write-up is based on the introduction about Deterministic, Deterministic Definition, Deterministic Model, and Deterministic systems.

Table of Content
  •  

Introduction

There are two types of Regression Modelling; the Deterministic Model and the Stochastic Model. The deterministic model is discussed below.

Deterministic Definition

The word deterministic means that the outcome or the result is predictable beforehand, that could not change, that means some future events or results of some calculation can always be predicted and is same, there is no randomness in deterministic. For example – Calculation from meter to the centimeter or gram to kilogram, etc. i.e the formula for solving remains the same and does not change randomly. Something is called deterministic when all the needs are provided and one knows the outcome of it. 

Deterministic Model 

In a deterministic model, when one starts running the model with the same initial condition every time, the result or the outcome is the same. Moreover, a deterministic model does not involve randomness; it works accordingly. In the case of the deterministic model when some work starts at a particular time that is at the same pace every time, then the output of the model always depends on the initial conditions. For a well-defined linear model, the unique output is produced from a unique input, and in the case of a non-linear model, multiple outputs are produced. This model can be described in different stages of temporal variations viz. time-independent, time-dependent and dynamic. A deterministic system assumes an exact relationship between variables. As a result of this relationship between variables, it enables one to predict and notice how variables affect the other. 

For example, 

If one assumes that X (Ram) is 4 times taller than Y (Rohan), then the equation will be X = 4Y.

Therefore, the example tells that X can always be identified or determined when Y is known.

This is a type of prediction which is hypothetical because the statement is helping one to identify what would be the outcome if we use a particular Y. Therefore, the deterministic technique also provides reliability in its solution as in the example shown.

So, the deterministic system will always be predictable and produce the same output if the starting point or the initial stage remains the same and in the case of any machine, the motion of the model should also be the same every time to get a similar result always.

A deterministic system does not have any random or probabilistic element, a model is called a deterministic model when it is fully known. 

Conclusion

It is to conclude that there are two types of Regression Modelling; they are Deterministic Model and the Stochastic Model. The word deterministic means that the outcome or the result is predictable beforehand; that could not change, that means some future events or results of some calculation can always be predicted and is same; there is no randomness in deterministic.

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What is the importance of a deterministic system?

Ans: In a deterministic model when one starts running the model with the same initial condition eve...Read full

Define deterministic.

Ans: The word deterministic means that the outcome or the result is predictable beforehand, that co...Read full

Give some examples of the deterministic model.

Ans: Some examples of deterministic models are – ...Read full

Explain the deterministic system with an example.

Ans: Example –      If one assumes that X (...Read full

Ans: In a deterministic model when one starts running the model with the same initial condition every time, the result or the outcome is the same. Moreover, a deterministic model does not involve randomness, it works accordingly. In the case of the deterministic model when some work starts at a particular time at the same pace every time. The output of the model always depends on the initial conditions. For a well-defined linear model, the unique output is produced from a unique input, and in the case of a non-linear model, multiple outputs are produced. This model can be described in different stages of temporal variations viz. time-independent, time-dependent and dynamic. A deterministic system assumes an exact relationship between variables. As a result of this relationship between variables, it enables one to predict and notice how variables affect the other. Therefore, the importance of a deterministic model is it helps one to predict and at the same time guess the correct outcome depending on the initial state.

Ans: The word deterministic means that the outcome or the result is predictable beforehand, that could not change, that means some future events or results of some calculation can always be predicted and is same, there is no randomness in deterministic. For example – Calculation from meter to the centimeter or gram to kilogram, etc. i.e. the formula for solving remains the same and does not change randomly. Something is called deterministic when all the needs are provided as required, and one knows the outcome of it.

Ans: Some examples of deterministic models are –

  • Accounting,
  • Maps,
  • A linear programming model,
  • Timetables.

Ans: Example –

     If one assumes that X (Ram) is 4-times taller than Y (Rohan), the equation will be X = 4Y.

Therefore, the example tells that X can always be identified or determined when Y is known.

This is a type of prediction which is hypothetical because the statement is helping one to identify what would be the outcome if we use a particular Y. Therefore, the deterministic technique also provides reliability in its solution as in the example shown.

So, the deterministic system will always be predictable and produce the same output if the starting point or the initial stage remains the same and in the case of any machine, the motion of the model should also be the same every time to get a similar result always.

A deterministic system does not have any random or probabilistic element; the model is known as a deterministic model when it is fully-known that is well known.

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