عنوان

Nonlinear and Dynamic Programming :

شابک

321181289X

شابک

3709183944

شابک

9783211812891

شابک

9783709183946

شماره

b587596

عنوان اصلي

Nonlinear and Dynamic Programming :

نام عام مواد

[Book]

ساير اطلاعات عنواني

an Introduction

نام نخستين پديدآور

by Sven Danø.

محل نشرو پخش و غیره

Vienna

نام ناشر، پخش کننده و غيره

Springer Vienna

تاریخ نشرو بخش و غیره

1975

نام خاص و کميت اثر

(VIII, 160 Seiten)

متن يادداشت

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.

متن يادداشت

This book is intended to provide an introductory text of Nonlinear and Dynamic Programming for students of managerial economics and operations research. The author also hopes that engineers, business executives, managers, and others responsible for planning of industrial operations may find it useful as a guide to the problems and methods treated, with a view to practical applications. The book may be considered as a sequel to the author's Linear Programming in Industry (1960, 4th revised and enlarged edition 1974), but it can be used independently by readers familiar with the elements of linear programming models and techniques. The two volumes con stitute an introduction to the methods of mathematical programming and their application to industrial optimization problems. The author feels that the vast and ever-increasing literature on mathematical programming has not rendered an introductory exposition super fluous. The general student often tends to feel somewhat lost if he goes straight to the special literature; he will be better equipped for tackling real problems and using computer systems if he has acquired some previous training in constructing small-scale programming models and applying standard algorithms for solving them by hand. The book is intended to provide this kind of training, keeping the mathematics at the necessary minimum. The text contains numerous exercises. The reader should work out these problems for himself and check with the answers given at the end of the book. The text is based on lectures given at the University of Copenhagen.

موضوع مستند نشده

Computer science.

موضوع مستند نشده

Economics.

موضوع مستند نشده

Operations research.

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

by Sven Danø.

مستند نام اشخاص تاييد نشده

Sven Danø

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y