Author: Georges R. ParisotPublisher:
ISBN:
Category :
Languages : fr
Pages : 98
Book Description
Résolution numérique approchée du problème de programmation linéaire par application de la programmation logarithmique
Author: Georges R. ParisotLinear Programming and its Applications
Author: H.A. EiseltPublisher: Springer Science & Business Media
ISBN: 3540736719
Category : Business & Economics
Languages : en
Pages : 380
Book Description
In the pages of this text readers will find nothing less than a unified treatment of linear programming. Without sacrificing mathematical rigor, the main emphasis of the book is on models and applications. The most important classes of problems are surveyed and presented by means of mathematical formulations, followed by solution methods and a discussion of a variety of "what-if" scenarios. Non-simplex based solution methods and newer developments such as interior point methods are covered.
Linear Programming and Extensions
Author: George DantzigPublisher: Princeton University Press
ISBN: 1400884179
Category : Mathematics
Languages : en
Pages : 651
Book Description
In real-world problems related to finance, business, and management, mathematicians and economists frequently encounter optimization problems. In this classic book, George Dantzig looks at a wealth of examples and develops linear programming methods for their solutions. He begins by introducing the basic theory of linear inequalities and describes the powerful simplex method used to solve them. Treatments of the price concept, the transportation problem, and matrix methods are also given, and key mathematical concepts such as the properties of convex sets and linear vector spaces are covered. George Dantzig is properly acclaimed as the "father of linear programming." Linear programming is a mathematical technique used to optimize a situation. It can be used to minimize traffic congestion or to maximize the scheduling of airline flights. He formulated its basic theoretical model and discovered its underlying computational algorithm, the "simplex method," in a pathbreaking memorandum published by the United States Air Force in early 1948. Linear Programming and Extensions provides an extraordinary account of the subsequent development of his subject, including research in mathematical theory, computation, economic analysis, and applications to industrial problems. Dantzig first achieved success as a statistics graduate student at the University of California, Berkeley. One day he arrived for a class after it had begun, and assumed the two problems on the board were assigned for homework. When he handed in the solutions, he apologized to his professor, Jerzy Neyman, for their being late but explained that he had found the problems harder than usual. About six weeks later, Neyman excitedly told Dantzig, "I've just written an introduction to one of your papers. Read it so I can send it out right away for publication." Dantzig had no idea what he was talking about. He later learned that the "homework" problems had in fact been two famous unsolved problems in statistics.
Nonlinear Programming
Author: Anthony V. FiaccoPublisher: SIAM
ISBN: 9781611971316
Category : Mathematics
Languages : en
Pages : 226
Book Description
Recent interest in interior point methods generated by Karmarkar's Projective Scaling Algorithm has created a new demand for this book because the methods that have followed from Karmarkar's bear a close resemblance to those described. There is no other source for the theoretical background of the logarithmic barrier function and other classical penalty functions. Analyzes in detail the "central" or "dual" trajectory used by modern path following and primal/dual methods for convex and general linear programming. As researchers begin to extend these methods to convex and general nonlinear programming problems, this book will become indispensable to them.
Mathematics of the Decision Sciences
Author: George Bernard DantzigPublisher: American Mathematical Soc.
ISBN: 9780821896815
Category : Mathematics
Languages : en
Pages : 444
Book Description
Encyclopedia of Computer Science and Technology
Author: Jack BelzerPublisher: CRC Press
ISBN: 9780824722531
Category : Computers
Languages : en
Pages : 516
Book Description
"This comprehensive reference work provides immediate, fingertip access to state-of-the-art technology in nearly 700 self-contained articles written by over 900 international authorities. Each article in the Encyclopedia features current developments and trends in computers, software, vendors, and applications...extensive bibliographies of leading figures in the field, such as Samuel Alexander, John von Neumann, and Norbert Wiener...and in-depth analysis of future directions."
Lecture Notes in Operations Research and Mathematical Economics
Author: Programmation linéaire - Une approche mathématique et algorithmique
Author: Salim HaddadiPublisher: Editions Ellipses
ISBN: 2340047269
Category : Computers
Languages : fr
Pages : 192
Book Description
Memorandum
Author: Numerical Methods for Non-linear Optimization
Author: F. A. LootsmaPublisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 464
Book Description