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Full Description
Operations Researchundergraduate and first-year graduate courses in Operations Research in departments of Industrial Engineering, Business Administration, Statistics, Computer Science, and Mathematics.This text streamlines the coverage of the theory, applications, and computations of operations research. Numerical examples are effectively used to explain complex mathematical concepts. A separate chapter of fully analyzed applications aptly demonstrates the diverse use of OR. The popular commercial and tutorial software AMPL, Excel, Excel Solver, and Tora are used throughout the book to solve practical problems and to test theoretical concepts.
Contents
Chapter 11.1 Operations Research Models1.2 Solving the OR Model1.3 Queuing and Simulation Models1.4 Art of Modeling1.5 More Than Just Mathematics ...1.6 Phases of an OR Study1.7 About This BookReferencesChapter 2: Modeling with Linear Programming2.1 Two-Variable LP Model2.1.1 Properties of the LP Model2.2 Graphical LP Solution2.2.1 Solution of a Maximization Model2.2.2 Solution of a Minimization Model2.3 Computer Solution with Excel Solver and AMPL2.3.1 LP Solution with Excel Solver2.3.2 LP Solution with AMPL2.4 Linear Programming Applications2.4.1 Investment2.4.2 Production Planning and Inventory Control2.4.3 Manpower Planning2.4.4 Urban Development Planning2.4.5 Blending and Refining2.4.6 Additional LP ApplicationsReferencesChapter 3: The Simplex Method and Sensitivity Analysis3.1 LP Solution Space in Equation Form3.2 Transition from Graphical to Algebraic Solution3.3 The simplex Method3.3.1 Iterative Nature of the Simplex Method3.3.2 Computational Details of the Simplex Algorithm3.4 Artificial Starting Solution3.4.1 M-Method3.4.2 Two-Phase Method3.5 Special Cases in Simplex Method Application3.5.1 Degeneracy3.5.2 Alternative Optima3.5.3 Unbounded Solution
