lecture1

CPS 808 Introduction To Modeling and Simulation: 

Introduction 1 CPS 808 Introduction To Modeling and Simulation Lecture 1

Goals Of This Course: 

Introduction 2 Goals Of This Course Introduce Modeling Introduce Simulation Develop an Appreciation for the Need for Simulation Develop Facility in Simulation Model Building “Learn by Doing”--Lots of Case Studies

What Is A Model ?: 

Introduction 3 What Is A Model ? A Representation of an object, a system, or an idea in some form other than that of the entity itself. (Shannon)

Types of Models:: 

Introduction 4 Types of Models: Physical (Scale models, prototype plants,…) Mathematical (Analytical queueing models, linear programs, simulation)

What is Simulation?: 

Introduction 5 What is Simulation? A Simulation of a system is the operation of a model, which is a representation of that system. The model is amenable to manipulation which would be impossible, too expensive, or too impractical to perform on the system which it portrays. The operation of the model can be studied, and, from this, properties concerning the behavior of the actual system can be inferred.

Applications:: 

Introduction 6 Applications: Designing and analyzing manufacturing systems Evaluating H/W and S/W requirements for a computer system Evaluating a new military weapons system or tactics Determining ordering policies for an inventory system Designing communications systems and message protocols for them

Applications:(continued): 

Introduction 7 Applications: (continued) Designing and operating transportation facilities such as freeways, airports, subways, or ports Evaluating designs for service organizations such as hospitals, post offices, or fast-food restaurants Analyzing financial or economic systems

Steps In Simulation and Model Building: 

Introduction 8 Steps In Simulation and Model Building 1. Define an achievable goal 2. Put together a complete mix of skills on the team 3. Involve the end-user 4. Choose the appropriate simulation tools 5. Model the appropriate level(s) of detail 6. Start early to collect the necessary input data

Steps In Simulation and Model Building(cont’d): 

Introduction 9 Steps In Simulation and Model Building(cont’d) 7. Provide adequate and on-going documentation 8. Develop a plan for adequate model verification (Did we get the “right answers ?”) 9. Develop a plan for model validation (Did we ask the “right questions ?”) 10. Develop a plan for statistical output analysis

Define An Achievable Goal: 

Introduction 10 Define An Achievable Goal “To model the…” is NOT a goal! “To model the…in order to select/determine feasibility/…is a goal. Goal selection is not cast in concrete Goals change with increasing insight

Put together a complete mix of skills on the team: 

Introduction 11 Put together a complete mix of skills on the team We Need: -Knowledge of the system under investigation -System analyst skills (model formulation) -Model building skills (model Programming) -Data collection skills -Statistical skills (input data representation)

Put together a complete mix of skills on the team(continued): 

Introduction 12 Put together a complete mix of skills on the team (continued) We Need: -More statistical skills (output data analysis) -Even more statistical skills (design of experiments) -Management skills (to get everyone pulling in the same direction)

INVOLVE THE END USER: 

Introduction 13 INVOLVE THE END USER -Modeling is a selling job! -Does anyone believe the results? -Will anyone put the results into action? -The End-user (your customer) can (and must) do all of the above BUT, first he must be convinced! -He must believe it is HIS Model!

Choose The Appropriate Simulation Tools: 

Introduction 14 Choose The Appropriate Simulation Tools Assuming Simulation is the appropriate means, three alternatives exist: 1. Build Model in a General Purpose Language 2. Build Model in a General Simulation Language 3. Use a Special Purpose Simulation Package

MODELLING W/ GENERAL PURPOSE LANGUAGES: 

Introduction 15 MODELLING W/ GENERAL PURPOSE LANGUAGES Advantages: Little or no additional software cost Universally available (portable) No additional training (Everybody knows…(language X) ! ) Disadvantages: Every model starts from scratch Very little reusable code Long development cycle for each model Difficult verification phase

GEN. PURPOSE LANGUAGES USED FOR SIMULATION: 

Introduction 16 GEN. PURPOSE LANGUAGES USED FOR SIMULATION FORTRAN Probably more models than any other language. PASCAL Not as universal as FORTRAN MODULA Many improvements over PASCAL ADA Department of Defense attempt at standardization C, C++ Object-oriented programming language

MODELING W/ GENERAL SIMULATION LANGUAGES: 

Introduction 17 MODELING W/ GENERAL SIMULATION LANGUAGES Advantages: Standardized features often needed in modeling Shorter development cycle for each model Much assistance in model verification Very readable code Disadvantages: Higher software cost (up-front) Additional training required Limited portability

GENERAL PURPOSE SIMULATION LANGUAGES: 

Introduction 18 GENERAL PURPOSE SIMULATION LANGUAGES GPSS Block-structured Language Interpretive Execution FORTRAN-based (Help blocks) World-view: Transactions/Facilities SIMSCRIPT II.5 English-like Problem Description Language Compiled Programs Complete language (no other underlying language) World-view: Processes/ Resources/ Continuous

GEN. PURPOSE SIMULATION LANGUAGES (continued): 

Introduction 19 GEN. PURPOSE SIMULATION LANGUAGES (continued) MODSIM III Modern Object-Oriented Language Modularity Compiled Programs Based on Modula2 (but compiles into C) World-view: Processes SIMULA ALGOL-based Problem Description Language Compiled Programs World-view: Processes

GEN. PURPOSE SIMULATION LANGUAGES (continued): 

Introduction 20 GEN. PURPOSE SIMULATION LANGUAGES (continued) SLAM Block-structured Language Interpretive Execution FORTRAN-based (and extended) World-view: Network / event / continuous CSIM process-oriented language C-based (C++ based) World-view: Processes

MODELING W/ SPECIAL-PURPOSE SIMUL. PACKAGES: 

Introduction 21 MODELING W/ SPECIAL-PURPOSE SIMUL. PACKAGES Advantages Very quick development of complex models Short learning cycle No programming--minimal errors in usage Disadvantages High cost of software Limited scope of applicability Limited flexibility (may not fit your specific application)

SPECIAL PURPOSE PACKAGES USED FOR SIMUL.: 

Introduction 22 SPECIAL PURPOSE PACKAGES USED FOR SIMUL. NETWORK II.5 Simulator for computer systems OPNET Simulator for communication networks, including wireless networks COMNET III Simulator for communications networks SIMFACTORY Simulator for manufacturing operations

THE REAL COST OF SIMULATION: 

Introduction 23 THE REAL COST OF SIMULATION Many people think of the cost of a simulation only in terms of the software package price. There are actually at least three components to the cost of simulation: 1. Purchase price of the software 2. Programmer / Analyst time 3. “Timeliness of Results”

TERMINOLOGY: 

Introduction 24 TERMINOLOGY System A group of objects that are joined together in some regular interaction or interdependence toward the accomplishment of some purpose. Entity An object of interest in the system. E.g., customers at a bank

TERMINOLOGY (continued): 

Introduction 25 TERMINOLOGY (continued) Attribute a property of an entity E.g., checking account balance Activity Represents a time period of specified length. Collection of operations that transform the state of an entity E.g., making bank deposits

TERMINOLOGY (continued): 

Introduction 26 TERMINOLOGY (continued) Event: change in the system state. E.g., arrival; beginning of a new execution; departure State Variables Define the state of the system Can restart simulation from state variables E.g., length of the job queue.

TERMINOLOGY (continued): 

Introduction 27 TERMINOLOGY (continued) Process Sequence of events ordered on time Note: the three concepts(event, process,and activity) give rise to three alternative ways of building discrete simulation models

A GRAPHIC COMPARISON OF DISCRETE SIMUL. METHODOLOGIES: 

Introduction 28 A GRAPHIC COMPARISON OF DISCRETE SIMUL. METHODOLOGIES E1 E2 /E3 E4 A1 A2 A1 E1’ E2’ E3’ A2 E4’ P1 P2 Simulation Time

EXAMPLES OF SYSTEMS AND COMPONENTS: 

Introduction 29 EXAMPLES OF SYSTEMS AND COMPONENTS Note: State Variables may change continuously (continuous sys.) over time or they may change only at a discrete set of points (discrete sys.) in time.

SIMULATION “WORLD-VIEWS”: 

Introduction 30 SIMULATION “WORLD-VIEWS” Pure Continuous Simulation Pure Discrete Simulation Event-oriented Activity-oriented Process-oriented Combined Discrete / Continuous Simulation

Examples Of Both Type Models: 

Introduction 31 Examples Of Both Type Models Continuous Time and Discrete Time Models: CPU scheduling model vs. number of students attending the class.

Examples (continued): 

Introduction 32 Examples (continued) Continuous State and Discrete State Models: Example: Time spent by students in a weekly class vs. Number of jobs in Q.

Other Type Models: 

Introduction 33 Static and Dynamic Models: CPU scheduling model vs. E = mc 2 Other Type Models Input Output Input Output Deterministic and Probabilistic Models:

Stochastic vs. Deterministic: 

Introduction 34 Stochastic vs. Deterministic 2 3 4 1 System Model Deterministic Deterministic Stochastic Stochastic

MODEL THE APPROPRIATE LEVEL(S) OF DETAIL: 

Introduction 35 MODEL THE APPROPRIATE LEVEL(S) OF DETAIL Define the boundaries of the system to be modeled. Some characteristics of “the environment” (outside the boundaries) may need to be included in the model. Not all subsystems will require the same level of detail. Control the tendency to model in great detail those elements of the system which are well understood, while skimming over other, less well - understood sections.

START EARLY TO COLLECT THE NECESSARY INPUT DATA: 

Introduction 36 START EARLY TO COLLECT THE NECESSARY INPUT DATA Data comes in two quantities: TOO MUCH!! TOO LITTLE!! With too much data, we need techniques for reducing it to a form usable in our model. With too little data, we need information which can be represented by statistical distributions.

PROVIDE ADEQUATE AND ON-GOING DOCUMENTATION: 

Introduction 37 PROVIDE ADEQUATE AND ON-GOING DOCUMENTATION I n general, programmers hate to document. (They love to program!) D ocumentation is always their lowest priority item. (Usually scheduled for just after the budget runs out!) T hey believe that “only wimps read manuals.” W hat can we do? Use self-documenting languages Insist on built-in user instructions(help screens) Set (or insist on) standards for coding style

DEVELOP PLAN FOR ADEQUATE MODEL VERIFICATION: 

Introduction 38 DEVELOP PLAN FOR ADEQUATE MODEL VERIFICATION Did we get the “right answers?” (No such thing!!) Simulation provides something that no other technique does: Step by step tracing of the model execution. This provides a very natural way of checking the internal consistency of the model.

DEVELOP A PLAN FOR MODEL VALIDATION: 

Introduction 39 DEVELOP A PLAN FOR MODEL VALIDATION VALIDATION: “Doing the right thing” Or “Asking the right questions” How do we know our model represents the system under investigation? Compare to existing system? Deterministic Case?

DEVELOP A PLAN FOR STATISTICAL OUTPUT ANALYSIS: 

Introduction 40 DEVELOP A PLAN FOR STATISTICAL OUTPUT ANALYSIS How much is enough? Long runs versus Replications Techniques for Analysis