Handbook of Industrial Engineering Equations, Formulas, and Calculations

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?

Computational Foundations of Industrial EngineeringEfficacy of Mathematical ModelingIndustrial Engineering and ComputationsDefinition and Applications Orientation to STEMIE Catchphrases Span and Utility of IEHeritage from Industrial RevolutionHistorical AccountsChronology of ApplicationsImportance of Calculations GuideBasic Queuing EquationsQueuing Birth–Death ProcessesLaws of Motion of Queuing Birth and DeathData Types for Computational AnalysisReferences Basic Mathematical CalculationsQuadratic EquationOverall MeanChebyshev’s TheoremPermutationsCombinationsProbability DistributionProbabilityDistribution FunctionExpected ValueVarianceBinomial DistributionPoisson DistributionMean of a Binomial DistributionNormal DistributionCumulative Distribution FunctionPopulation Mean Standard Error of the Meant-DistributionChi-Squared DistributionDefinition of Set and Notation Set Terms and Symbols Venn DiagramsOperations on SetsDe Morgan’s LawsCounting the Elements in a SetPermutationsCombinationsProbability TerminologyBasic Probability PrinciplesRandom VariableMean Value ˆx or Expected Value μ Series Expansions Mathematical Signs and SymbolsGreek Alphabets Algebra Harmonic Mean of n Quantities, H Solution of Quadratic Equations Partial FractionsGeneral TermsFactors of Higher Degree GeometryMenelaus’ TheoremCeva’s Theorem Quadrilaterals TheoremCyclic QuadrilateralProlemy’s Theorem Cyclic-Inscriptable QuadrilateralSolids Bounded By PlanesCircular Cylinder of Radius r and Slant HeightSpheroidsFormulas from Plane Analytic GeometryCardioid Logarithmic Identities Series Expansions Limiting ValuesInequalitiesPolynomial ApproximationsExponential Function Series ExpansionFundamental PropertiesDefinition of General PowersLogarithmic and Exponential FunctionsTrigonometric RatiosAlgebraRoots of a Quadratic EquationLogarithmsStatistical Distributions, Methods, and ApplicationsDiscrete DistributionsANOVAVariate Generation TechniquesVariate Generation Algorithms References Computations with Descriptive StatisticsSample AverageSample VarianceSample Standard DeviationSample Standard Error of the MeanEstimation and TestingDistribution Functions and Parameter EstimationANOVA RegressionStatistical Quality ControlTime-Series AnalysisCategorical AnalysisComputations for Economic AnalysisFundamentals of Economic AnalysisInterest and Equity ComputationsEquity Break-Even Formula Economic Methods of Comparing Investment AlternativesIncremental AnalysisAsset Replacement and Retention AnalysisReplacement Analysis ComputationDepreciation MethodsCost and Value Computations Cash-Flow Calculations Profit Ratio AnalysisProject Cost EstimationCost Performance Index Cost Control LimitsProject Balance ComputationIndustrial Production CalculationsLearning Curve Models and Computations Productivity Calculations Using Learning Curves Takt Time for Production PlanningProduction Crew Work Rate AnalysisCase of Multiple Resources Working TogetherCalculation of Personnel RequirementsCalculation of Machine RequirementsReferences Forecasting CalculationsForecasting Based on AveragesSimple Average Forecast Regression AnalysisTime-Series AnalysisSix Sigma and LeanConcept of Six SigmaTaguchi Loss FunctionStatistical Techniques for Six SigmaProcess Capability Analysis for Six Sigma Lean Principles and ApplicationsLean Task Value Rating SystemRisk ComputationsCost UncertaintiesDecision Tables and TreesReliability CalculationsComputations for Project AnalysisPlanningOrganizingSchedulingControl CPM SchedulingActivity Precedence RelationshipsCalculation of SlacksCalculations for Subcritical PathsPlotting of Gantt ChartsCalculations for Project CrashingCalculations for Project Duration DiagnosticsPERT FormulasActivity Time DistributionsProject Duration AnalysisProduct Shape and Geometrical CalculationsEquation of a Straight LineQuadratic EquationConic SectionsConic Section EquationQuadric Surface (Sphere)TrigonometryPolar CoordinatesMatricesVectorsProgressions and SeriesDifferential CalculusL’Hospital’s RuleIntegral CalculusDerivatives and Indefinite IntegralsDerivativesMensuration of Areas and VolumesCentroids and Moments of InertiaDifference EquationsNumerical MethodsCalculation of Best-Fit CircleReferenceGeneral Engineering CalculationsSix Simple Machines for Materials HandlingMechanics: Kinematics Simple Harmonic MotionMechanics: DynamicsGeneral Law of Gravity Appendix A: Mathematical Patterns, Series, and Formulae Appendix B: Measurement Units, Notation, and ConstantsAppendix C: Conversion FactorsAppendix D: Factors and TablesBibliographyIndex