Chapter 1: What is Operations Research? 1.1 Operations Research Models 1.2 Solving the OR Model 1.3 Queueing and Simulation Models 1.4 Art of Modeling 1.5 More than Just Mathematics 1.6 Phases of an OR Study 1.7 About this Book Problems References Chapter 2: Modeling with Linear Programming 2.1 Two-Variable LP Model 2.2 Graphical LP Solution 2.3 Selected LP Applications 2.4 Computer Solution with Solver and AMPL Problems References Chapter 3: The Simplex Method and Sensitivity Analysis 3.1 LP Model in Equation Form 3.2 Transition from Graphical to Algebraic Solution 3.3 The Simplex Method 3.4 Artificial Starting Solution 3.5 Special Cases in the Simplex Method 3.6 Sensitivity Analysis Problems References Chapter 4: Duality and Post-Optimal Analysis 4.1 Definition of the Dual Problem 4.2 Primal-Dual Relationships 4.3 Economic Interpretation of Duality 4.4 Additional Simplex Algorithms 4.5 Post-Optimal Analysis Problems References Chapter 5: Transportation Model and its Variants 5.1 Definition of the Transportation Model 5.2 Nontraditional Transportation Models 5.3 The Transportation Algorithm 5.4 The Assignment Model 5.5 The Transshipment Model Problems References Chapter 6: Network Models 6.1 Scope and Definition of Network Models 6.2 Minimal Spanning Tree Algorithm 6.3 Shortest-Route Problem 6.4 Maximal Flow Model 6.5 CPM and PERT Problems References Chapter 7: Advanced Linear Programming 7.1 Simplex Method Fundamentals 7.2 Revised Simplex Method 7.3 Bounded Variables Algorithm 7.4 Duality 7.5 Parametric Linear Programming Problems References Chapter 8: Goal Programming 8.1 A Goal Programming Formulation 8.2 Goal Programming Algorithms Problems References Chapter 9: Integer Linear Programming 9.1 Illustrative Applications 9.2 Integer Programming Algorithms 9.3 Traveling Salesperson (TSP) Problem Problems References Chapter 10: Deterministic Dynamic Programming 10.1 Recursive Nature of Computations in DP 10.2 Forward and Backward Recursion 10.3 Selected DP Applications 10.4 Problem of Dimensionality Problems References Chapter 11: Deterministic Inventory Models 11.1 General Inventory Model 11.2 Role of Demand in the Development of Inventory Models 11.3 Static Economic-Order-Quantity (EOQ) Models 11.4 Dynamic EOQ Models Problems References Chapter 12: Review of Basic Probability 12.1 Laws of Probability 12.2 Random Variables and Probability Distributions 12.3 Expectation of a Random Variable 12.4 Four Common Probability Distributions 12.5 Empirical Distributions Problems References Chapter 13: Decision Analysis and Games 13.1 Decision Making under Certainty -- Analytic Hierarchy Process (AHP) 13.2 Decision Making under Risk 13.3 Decision under Uncertainty 13.4 Game Theory Problems References Chapter 14: Probabilistic Inventory Models 14.1 Continuous Review Models 14.2 Single-Period Models 14.3 Multiperiod Model Problems References Chapter 15:Queueing Systems 15.1 Why Study Queues? 15.2 Elements of a Queuing Model 15.3 Role of Exponential Distributio.
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SUMMARY OR ABSTRACT
Text of Note
This eighth edition continues to build on the strength of the first seven editions, providing balanced coverage of the theory, applications, and computations of operations research. This is a major revision, one that streamlines the presentation of the text material with emphasis on the applications and computations in operations research. Complex mathematical concepts are effectively explained by means of carefully designed numerical examples, essentially eliminating the need for formal mathematical proofs. The integration of practical applications of software allows students to test concepts that otherwise could not be presented effectively. The book includes fully analyzed practical situations and each chapter concludes with summary applications borrowed from published case studies.