Explain models its types with usage.
Answers
Mathematical models include Analytical models and Numerical Models. Statistical models are useful in helping identify patterns and underlying relationships between data sets. Teaching with Visualizations By this we mean anything that can help one visualize how a system works.
Many types of models can be grouped into three categories; visual models, mathematical models, and computer models.
What is a Model Answer? A model answer is an ideal response to a question. It is an example of what would receive full marks, and helps teachers demonstrate to students how to include the key elements of a topic into an answer.
Model: A model is defined as a representation of a system for the purpose of studying the system. It is necessary to consider only those aspects of a system that affect the plan under investigation for studying them.
Types:
Mathematical Model: It uses symbolic notation and mathematical equation to represent a system. It represents a system in terms of logical and quantitative relationships.
Example: Area of circle = πr2
Physical Model: It is based on some analogy between systems such as mechanical and electrical, electrical and hydraulic systems attributes are represented by measurements such as voltage or the position of a motor shaft. E.g. Scale models, prototype plants.
Static model: It sometimes called as Monte Carlo simulation model, that represents a system at ta particular point in time. E.g. Map, photo
Dynamic model: It represents systems as they change over time e.g. simulation of cafeteria from 2 pm to 4 pm.
Deterministic model: It is one which contains no random variables. it has a known set of i/p's which will result in a unique set of o/p's. e.g. Arrival of patient as per appointment time.
Stochestic model: It is one which contains one or more random variables as i/p's. Random o/p's are generated which can be considered only as estimates of the true characteristics of a model. e.g. Simulation of a bank
Discrete model: It is one in which the state variables change only at a discrete set of points in time. e.g. no. of customers waiting in line in bank.
Continuous model: It is one in which the state variables change continuous over time e.g. Head of water behind the dam.
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