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Introduction to Simulation and Modeling: Understanding Systems and Their Representation, Exams of Mathematical Modeling and Simulation

An introduction to the concepts of simulation and modeling, explaining the importance of systems, their organization, and the role of simulations in understanding and experimenting with them. The definitions of systems, the benefits and uses of simulations, and the different types of simulation models. It also outlines the steps involved in simulation studies.

What you will learn

  • What is a system and why is it important?
  • What are the benefits of using simulations?
  • What are the different types of simulation models?

Typology: Exams

2018/2019

Uploaded on 12/15/2019

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Er. Pratap Sapkota
Introduction to simulation and Modeling
1
System
The term system is derive from the Greek word systema, which means an organized
relationship among functioning units or components.
System exists because it is designed to achieve one or more objectives.
We come into daily contact with the transportation system, the telephone system, the
accounting system, the production system, and for two decades the computer system.
There are more than a hundred definitions of the word system, but most seem to have a
common thread that suggests that a system is an orderly grouping of interdependent
components linked together according to a plan to achieve a specific objective.
The study of the systems concepts, then, has three basic implications:
1. A system must be designed to achieve a predetermined objective
2. Interrelationships and interdependence must exist among the components
3. The objectives of the organization as a whole have a higher priority than the objectives
of its subsystems.
Klir* gives a collection of 24 definitions one such definition is A system is a collection of
components wherein individual components are constrained by connecting interrelationships
such that the system as a whole fulfills some specific functions in response to varying demands”
*Klir, George J. , an approach to general systems theory, New York: Van Nostrand Reinhold Co,
1969
Introduction
System
A system exists and operates in time and space.
Model
A model is a simplified representation of a system at some particular point in time or space
intended to promote understanding of the real system.
Simulation
A simulation is the manipulation of a model in such a way that it operates on time or space to
compress it, thus enabling one to perceive the interactions that would not otherwise be apparent
because of their separation in time or space.
Concept of Simulation
Simulation is the representation of a real life system by another system, which depicts
the important characteristics of the real system and allows experimentation on it.
In another word simulation is an imitation of the reality.
Simulation has long been used by the researchers, analysts, designers and other
professionals in the physical and non-physical experimentations and investigations.
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Introduction to simulation and Modeling

System

 The term system is derive from the Greek word systema, which means an organized relationship among functioning units or components.  System exists because it is designed to achieve one or more objectives.  We come into daily contact with the transportation system, the telephone system, the accounting system, the production system, and for two decades the computer system.  There are more than a hundred definitions of the word system, but most seem to have a common thread that suggests that a system is an orderly grouping of interdependent components linked together according to a plan to achieve a specific objective. The study of the systems concepts, then, has three basic implications:

  1. A system must be designed to achieve a predetermined objective
  2. Interrelationships and interdependence must exist among the components
  3. The objectives of the organization as a whole have a higher priority than the objectives of its subsystems. Klir* gives a collection of 24 definitions one such definition is “ A system is a collection of components wherein individual components are constrained by connecting interrelationships such that the system as a whole fulfills some specific functions in response to varying demands” *Klir, George J. , an approach to general systems theory, New York: Van Nostrand Reinhold Co, 1969

Introduction

System

A system exists and operates in time and space.

Model

A model is a simplified representation of a system at some particular point in time or space intended to promote understanding of the real system.

Simulation

A simulation is the manipulation of a model in such a way that it operates on time or space to compress it, thus enabling one to perceive the interactions that would not otherwise be apparent because of their separation in time or space.

Concept of Simulation

 Simulation is the representation of a real life system by another system, which depicts the important characteristics of the real system and allows experimentation on it.  In another word simulation is an imitation of the reality.  Simulation has long been used by the researchers, analysts, designers and other professionals in the physical and non-physical experimentations and investigations.

Introduction to simulation and Modeling

Why Simulate?

 It may be too difficult, hazardous, or expensive to observe a real, operational system  Parts of the system may not be observable (e.g., internals of a silicon chip or biological system)

Uses of simulations

 Analyze systems before they are built  Reduce number of design mistakes  Optimize design  Analyze operational systems  Create virtual environments for training, entertainment

When to use Simulation

 Over the years tremendous developments have taken place in computing capabilities and in special purpose simulation languages, and in simulation methodologies.  The use of simulation techniques has also become widespread.

Following are some of the purposes for which simulation may be

used.

  1. Simulation is very useful for experiments with the internal interactions of a complex system, or of a subsystem within a complex system.
  2. Simulation can be employed to experiment with new designs and policies, before implementing
  3. Simulation can be used to verify the results obtained by analytical methods and reinforce the analytical techniques.
  4. Simulation is very useful in determining the influence of changes in input variables on the output of the system.
  5. Simulation helps in suggesting modifications in the system under investigation for its optimal performance.

Types of Simulation Models

 Simulation models can be classified as being static or dynamic, deterministic or stochastic and discrete or continuous.  A static simulation model represents a system, which doesnot change with time or represents the system at a particular point in time.  Dynamic simulation models represent systems as they change over time.  Deterministic models have a known set of inputs, which result into unique set of outputs.  In stochastic model , there are one or more random input variables, which lead to random outputs.  System in which the state of the system changes continuously with time are called continuous systems while the systems in which the state changes abruptly at discrete points in time called discrete systems.

Introduction to simulation and Modeling

MODEL CONCEPTUALIZATION

Model Development Life Cycle

Define Goals and Objectives of Study Develop Conceptual Model Develop Specification of Model Develop Conceptual Model Verify Model

Validate Model

Introduction to simulation and Modeling

Advantages of Simulation

 Simulation helps to learn about real system, without having the system at all. For example the wind tunnel testing of the model of an aeroplane does not require a full sized plane.  Many managerial decision making problems are too complex to be solved by mathematical programming.  In many situations experimenting with actual system may not be possible at all. For example, it is not possible to conduct experiment, to study the behavior of a man on the surface of moon. In some other situations, even if experimentation is possible, it may be too costly and risky,  In the real system, the changes we want to study may take place too slowly or too fast to be observed conveniently.Computer simulation can compress the performance of a system over years into a few minutes of computer running time.  Conversely, in systems like nuclear reactors where millions of events take place per second, simulation can expand the time to required level.  Through simulation, management can foresee the difficulties and bottlenecks, which may come up due to the introduction of new machines, equipments and processes. It thus eliminates the need of costly trial and error method of trying out the new concepts.  Simulation being relatively free from mathematics can easily be understood by the operating personnel and non-technical managers. This helps in getting the proposed plans accepted and implemented.  Simulation Models are comparatively flexible and can be modified to accommodate the changing environment to the real situation.  Simulation technique is easier to use than the mathematical models, and can be used for wide range of situations.  Extensive computer software packages are available, making it very convenient to use fairly sophisticated simulation models.  Simulation is a very good tool of training and has advantageously been used for training the operating and managerial staff in the operation of complex system. Space engineers simulate space flights in laboratories to train the future astronauts for working in weightless environment.  Airline pilots are given extensive training on flight simulators, before they are allowed to handle real planes.

Disadvantages of Simulation

 Model building requires special training. It is an art that is learned over time and through experience. Furthermore, if two models are constructed by two competent individuals, they may have similarities, but it is highly unlike that they will be the same.