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內容簡介
For junior/senior undergraduate and first-year graduate courses in Operations Research in departments of Industrial Engineering, Business Administration, Statistics, Computer Science, and Mathematics. Significantly revised, 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. New materials include Markov chains, TSP heuristics, new LP models, and a totally new simplex-based approach to LP sensitivity analysis. Features 1. New organization of the book: ‧Ch2 is dedicated to the development of LP models with all references to sensitivity and post-optimal analysis moved to ch3 and 4. ‧Ch3 offers a unique presentation of LP sensitivity analysis. ‧Ch4 deals with LP post-optimal analysis based exclusively on duality theory. ‧The coverage of Markov chains is expanded into a full Ch17. ‧New (Excel-based) heuristics for the traveling salesperson (TSP) include the nearest neighbor and the reversal algorithms ‧Computer solutions are provided for each algorithm and all software implementations are deliberately compartmentalized to minimize disruptions. 2. Case analysis: New Ch24 presents 15 real-life applications with summaries given in pertinent chapters to emphasize the practical applications of OR. 3. Software implementations: ‧AMPL, modeling language, is integrated throughout the book with examples from linear/nonlinear/integer programming and networks. ‧Excel spreadsheet implementations include dynamic programming, traveling salesperson, inventory, AHP, Bayes’ probabilities, ”electronic” statistical tables, queuing, simulation, Markov chains, and nonlinear programming. ‧The use of Excel Solver is expanded in the areas of linear, network, integer, and nonlinear programming. ‧TORA continues to play the key role of user-friendly tutorial software. 4. Accompanying CD-ROM includes: ‧AMPL student version and numerous AMPL models. ‧TORA, he updated and easy-to-use tutorial optimization system. ‧General ready-to-use Excel spreadsheet templates. ‧Numerous Excel Solver models. ‧Four supplemental chapters and two appendixes.
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