Handbook of Industrial Engineering Equations, Formulas, and Calculations

Summary

The first handbook to focus exclusively on industrial engineering calculations with a correlation to applications, Handbook of Industrial Engineering Equations, Formulas, and Calculations contains a general collection of the mathematical equations often used in the practice of industrial engineering. Many books cover individual areas of engineering and some cover all areas, but none covers industrial engineering specifically, nor do they highlight topics such as project management, materials, and systems engineering from an integrated viewpoint.

Written by acclaimed researchers and authors, this concise reference marries theory and practice, making it a versatile and flexible resource. Succinctly formatted for functionality, the book presents:

• Basic Math Calculations
• Engineering Math Calculations
• Production Engineering Calculations
• Engineering Economics Calculations
• Ergonomics Calculations
• Facility Layout Calculations
• Production Sequencing and Scheduling Calculations
• Systems Engineering Calculations
• Data Engineering Calculations
• Project Engineering Calculations
• Simulation and Statistical Equations

It has been said that engineers make things while industrial engineers make things better. To make something better requires an understanding of its basic characteristics and the underlying equations and calculations that facilitate that understanding. To do this, however, you don’t have to be computational experts; you just have to know where to get the computational resources that are needed. This book elucidates the underlying equations that facilitate the understanding required to improve design processes, continuously improving the answer to the age-old question: What is the best way to do a job?

Table of Contents

Computational Foundations of Industrial Engineering
Efficacy of Mathematical Modeling
Industrial Engineering and Computations
Definition and Applications 
Orientation to STEM
IE Catchphrases 
Span and Utility of IE
Heritage from Industrial Revolution
Historical Accounts
Chronology of Applications
Importance of Calculations Guide
Basic Queuing Equations
Queuing Birth–Death Processes
Laws of Motion of Queuing Birth and Death
Data Types for Computational Analysis
References 

Basic Mathematical Calculations
Quadratic Equation
Overall Mean
Chebyshev’s Theorem
Permutations
Combinations
Probability Distribution
Probability
Distribution Function
Expected Value
Variance
Binomial Distribution
Poisson Distribution
Mean of a Binomial Distribution
Normal Distribution
Cumulative Distribution Function
Population Mean 
Standard Error of the Mean
t-Distribution
Chi-Squared Distribution
Definition of Set and Notation 
Set Terms and Symbols 
Venn Diagrams
Operations on Sets
De Morgan’s Laws
Counting the Elements in a Set
Permutations
Combinations
Probability Terminology
Basic Probability Principles
Random Variable
Mean Value ˆx or Expected Value μ 
Series Expansions 
Mathematical Signs and Symbols
Greek Alphabets 
Algebra 
Harmonic Mean of n Quantities, H 
Solution of Quadratic Equations 
Partial Fractions
General Terms
Factors of Higher Degree 
Geometry
Menelaus’ Theorem
Ceva’s Theorem 
Quadrilaterals 
Theorem
Cyclic Quadrilateral
Prolemy’s Theorem 
Cyclic-Inscriptable Quadrilateral
Solids Bounded By Planes
Circular Cylinder of Radius r and Slant Height
Spheroids
Formulas from Plane Analytic Geometry
Cardioid 
Logarithmic Identities 
Series Expansions 
Limiting Values
Inequalities
Polynomial Approximations
Exponential Function Series Expansion
Fundamental Properties
Definition of General Powers
Logarithmic and Exponential Functions
Trigonometric Ratios
Algebra
Roots of a Quadratic Equation
Logarithms

Statistical Distributions, Methods, and Applications
Discrete Distributions
ANOVA
Variate Generation Techniques
Variate Generation Algorithms 
References 

Computations with Descriptive Statistics
Sample Average
Sample Variance
Sample Standard Deviation
Sample Standard Error of the Mean
Estimation and Testing
Distribution Functions and Parameter Estimation
ANOVA 
Regression
Statistical Quality Control
Time-Series Analysis
Categorical Analysis

Computations for Economic Analysis
Fundamentals of Economic Analysis
Interest and Equity Computations
Equity Break-Even Formula 
Economic Methods of Comparing Investment Alternatives
Incremental Analysis
Asset Replacement and Retention Analysis
Replacement Analysis Computation
Depreciation Methods
Cost and Value Computations 
Cash-Flow Calculations 
Profit Ratio Analysis
Project Cost Estimation
Cost Performance Index 
Cost Control Limits
Project Balance Computation

Industrial Production Calculations
Learning Curve Models and Computations 
Productivity Calculations Using Learning Curves 
Takt Time for Production Planning
Production Crew Work Rate Analysis
Case of Multiple Resources Working Together
Calculation of Personnel Requirements
Calculation of Machine Requirements
References 

Forecasting Calculations
Forecasting Based on Averages
Simple Average Forecast 
Regression Analysis
Time-Series Analysis

Six Sigma and Lean
Concept of Six Sigma
Taguchi Loss Function
Statistical Techniques for Six Sigma
Process Capability Analysis for Six Sigma 
Lean Principles and Applications
Lean Task Value Rating System

Risk Computations
Cost Uncertainties
Decision Tables and Trees
Reliability Calculations

Computations for Project Analysis
Planning
Organizing
Scheduling
Control 
CPM Scheduling
Activity Precedence Relationships
Calculation of Slacks
Calculations for Subcritical Paths
Plotting of Gantt Charts
Calculations for Project Crashing
Calculations for Project Duration Diagnostics
PERT Formulas
Activity Time Distributions
Project Duration Analysis

Product Shape and Geometrical Calculations
Equation of a Straight Line
Quadratic Equation
Conic Sections
Conic Section Equation
Quadric Surface (Sphere)
Trigonometry
Polar Coordinates
Matrices
Vectors
Progressions and Series
Differential Calculus
L’Hospital’s Rule
Integral Calculus
Derivatives and Indefinite Integrals
Derivatives
Mensuration of Areas and Volumes
Centroids and Moments of Inertia
Difference Equations
Numerical Methods
Calculation of Best-Fit Circle
Reference

General Engineering Calculations
Six Simple Machines for Materials Handling
Mechanics: Kinematics 
Simple Harmonic Motion
Mechanics: Dynamics
General Law of Gravity 

Appendix A: Mathematical Patterns, Series, and Formulae 
Appendix B: Measurement Units, Notation, and Constants
Appendix C: Conversion Factors
Appendix D: Factors and Tables
Bibliography
Index

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