Operations research calculations handbook. (2001)

• Record Type: Book
• Further Information: Note: Dennis Blumenfeld.
• Other Names: Blumenfeld, Dennis
• Contents: INTRODUCTION; MEANS AND VARIANCES; Mean (Expectation) and Variance of a Random Variable; Covariance and Correlation Coefficient; Mean and Variance for Sum of Random Variables; Mean and Variance of a Product of Two Random Variables; Mean and Variance of a Quotient of Two Random Variables; Conditional Mean and Variance for Jointly Distributed Random Variables; Conditional Mean of a Random Variable in a Limited Range; Mean and Variance for Sum of a Random Number of Random Variables; Mean of a Function of a Random Variable; Approximations for the Mean and Variance of a Function of a Random Variable; Mean and Variance of the Maximum of Exponentially Distributed Random Variables; Mean and Variance of the Maximum of Normally Distributed Random Variables; Moments for the Greatest of a Finite Set of Random Variables; Moment Generating Functions; ; DISCRETE PROBABILITY DISTRIBUTIONS; Bernoulli Distribution; Binomial Distribution; Geometric Distribution; Negative Binomial Distribution; Poisson Distribution; Hypergeometric Distribution; Multinomial Distribution; ; CONTINUOUS PROBABILITY DISTRIBUTIONS; Uniform Distribution; Exponential Distribution; Erlang Distribution; Gamma Distribution; Beta Distribution; Normal Distribution; Lognormal Distribution; Weibull Distribution; Logistic Distribution; Gumbel (Extreme Value) Distribution; Pareto Distribution; Triangular Distribution; ; PROBABILITY FORMULAS; Distribution of the Sum of Independent Random Variables; Distribution of the Maximum and Minimum of Random Variables; Change of Variable in a Probability Distribution; Conditional Probability Distribution for a Constrained Random variable; Combination of Poisson and Gamma Distributions; Bayes' Formula; Central Limit Theorem; Probability Generating Function (z-Transform); Moment Generating Function; Characteristic Function; Laplace Transform; ; STOCHASTIC PROCESSES; Poisson Process and Exponential Distribution; Renewal Process Results; Markov Chain Results; ; QUEUING THEORY RESULTS; Notation for Queue Types; Definitions of Queuing System Variables; Little's Law and General Queueing System Relationships; Extensions of Little's Law; Formulas for Average Queue Length; Formulas for Average Time in Queue; References for Formulas for Average Queue Length and Time in Queue; Pollaczek-Khintchine Formula for Average Time in Queue; Additional Formulas for Average Time in Queue; Other Formulas in Queueing Theory; ; PRODUCTION SYSTEMS MODELING; Definitions and Notation for Workstations; Basic Relationship Between Workstation Parameters; Distribution of the Time to Produce Fixed Lot Size at a Workstation; Throughput of a Serial Production Line with Failures; Throughput of a Two-Station Serial Production Line with Variable Processing Times; Throughput of an N-Station Serial Production Line with Variable Processing Times; ; INVENTORY CONTROL; Economic Order Quantity; Economic Production Quantity; "Newsboy Problem:" Optimal Inventory to Meet Uncertain Demand in a Single Period; Inventory Replenishment Policies; (s, Q) Policy: Estimates of Reorder Point (s) and Order Quantity (Q); (s, S) Policy: Estimates of Reorder Point (s) and Order-Up-To Level (S); (T, S) Policy: Estimates of Review Period (T) and Order-Up-To Level (S); (T, s, S) Policy: Estimates of Review Period (T), Reorder Point (s), and Order-Up-To Level (S); Summary of Results for Inventory Policies; Inventory in a Production/Distribution system; A Note of Cumulative Plots; ; DISTANCE FORMULAS FOR LOGISTICS ANALYSIS; "Traveling Salesman Problem" Tour Distance: Shortest Path Through a Set of Points in a Region; Distribution of Distance between Two Random Points in a Circle; Great Circle Distance; ; LINEAR PROGRAMMING FORMULATIONS; General Formulation; Terminology; Example of Feasible Region; Alternative Formulations; Diet Problem; Duality; Special Cases of Linear Programming Problems; Integer Linear Programming Formulations; Solution Methods; ; MATHEMATICAL FUNCTIONS; Gamma Function; Beta Function; Unit Impulse Function; Modified Bessel Functions; Stirling's Formula; ; CALCULUS RESULTS; Basic Rules for Differentiation; Integration by Parts; Fundamental Theorem of Calculus; Taylor Series; Maclaurin Series; L'Hôpital's Rule; Lagrange Multipliers; Differentiation Under the Integral Sign; Change of Variable in an Integral; Change of Variables in a Double Integral; Changing the Order of Integration in a Double Integral; Changing the Order of Summation in a Double Sum; Numerical Integration; ; MATRICES; Rules for Matrix Calculations; Inverses of Matrices; Series of Matrices; COMBINATORICS; SUMMATIONS; Finite Sums; Infinite Sums; INTEREST FORMULAS; REFERENCES
• Publisher Details: Boca Raton : CRC Press
• Publication Date: 2001
• Extent: 1 online resource (199 pages), illustrations
• Subjects: 658.4/034; Mathematical analysis -- Handbooks, manuals, etc; Operations research -- Handbooks, manuals, etc; Recherche opérationnelle -- Guides, manuels, etc; Analyse mathématique -- Guides, manuels, etc; BUSINESS & ECONOMICS -- Operations Research; Mathematical analysis; Operations research; Operations research; Electronic books; Handbooks and manuals
• Languages: English
• ISBNs: 0849321271; 9780849321276; 9781420039221; 1420039229
• Notes: Note: Includes bibliographical references and index.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.