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Nonlinear and dynamic programming ; an introduction

Author: Sven Danø
Publisher: New York : Springer-Verlag, [1975]
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

This book is intended to provide an introductory text of Nonlinear and Dynamic Programming for students of managerial economics and operations research.

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Additional Physical Format: Online version:
Danø, Sven.
Nonlinear and dynamic programming ; an introduction.
New York : Springer-Verlag, [1975]
(OCoLC)643620134
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Sven Danø
ISBN: 038781289X 9780387812892 321181289X 9783211812891
OCLC Number: 1230789
Description: 164 pages : illustrations ; 24 cm
Contents: I. Linear and Nonlinear Programming.- II. Elements of the Mathematical Theory of Nonlinear Programming.- A. Constrained Optimization.- B. Kuhn-Tucker Optimization.- III. Linearization of Nonlinear Programming Problems.- A. Linear Approximations and Linear Programming.- B. Partitioning of Variables.- C. Separable Programming.- IV. Quadratic Programming.- A. Linear and Quadratic Programming.- B. The Kuhn-Tucker Conditions.- C. Combinatorial Solution.- D. Wolfe's Method.- E. The Simplex Method for Quadratic Programming.- F. Beale's Method.- G. Computer Solution.- H. Some Industrial Applications.- V. Dynamic Programming and Multistage Optimization.- VI. Applications of Dynamic Programming.- A. The Shortest Path through a Network.- B. Production Planning.- C. Inventory Problems.- D. Investment Planning.- E. Allocation of Salesmen.- F. Cargo Loading and the Knapsack Problem.- VII. Several Decision and State Variables.- VIII. Infinite-Stage Problems.- IX. Dynamic Programming under Risk.- A. Risk and Multistage Optimization.- B. Dynamic Programming and Markov Processes.- X. Appendix: The Recursion Procedure in Dynamic Programming.- A. Stage Optimization.- B. Backward Recursion for Given Initial State.- C. Forward Recursion for Given Initial State.- D. Forward Recursion for Given Final State.- E. Backward Recursion for Given Final State.- F. Given Initial and Final States.- Answers to Exercises.- References.
Responsibility: Sven Danø.

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