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Item Details
| Title:
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SELECTED TOPICS IN OPERATIONS RESEARCH AND MATHEMATICAL ECONOMICS
PROCEEDINGS OF THE 8TH SYMPOSIUM ON OPERATIONS RESEARCH, HELD AT THE UNIVERSITY OF KARLSRUHE, WEST GERMANY AUGUST 22-25, 1983 |
| By: |
G. Hammer (Editor), Diethard Pallaschke (Editor) |
| Format: |
Paperback |
| List price:
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£114.00 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
3540129189 |
| ISBN 13: |
9783540129189 |
| Publisher: |
SPRINGER-VERLAG BERLIN AND HEIDELBERG GMBH & CO. KG |
| Pub. date: |
1 April, 1984 |
| Edition: |
Softcover reprint of the original 1st ed. 1984 |
| Series: |
Lecture Notes in Economics and Mathematical Systems 226 |
| Pages: |
482 |
| Synopsis: |
Let eRN be the usual vector-space of real N-uples with the usual inner product denoted by (. ,. ). In this paper P is a nonempty compact polyhedral set of mN, f is a real-valued function defined on (RN continuously differentiable and fP is the line- ly constrained minimization problem stated as : min (f(x) I x EURO P) * For computing stationary points of problemtj) we propose a method which attempts to operate within the linear-simplex method structure. This method then appears as a same type of method as the convex-simplex method of Zangwill [6]. It is however, different and has the advantage of being less technical with regards to the Zangwill method. It has also a simple geometrical interpretation which makes it more under- standable and more open to other improvements. Also in the case where f is convex an implementable line-search is proposed which is not the case in the Zangwill method. Moreover, if f(x) = (c,x) this method will coincide with the simplex method (this is also true in the case of the convex simplex method) i if f(x) = I Ixl 12 it will be almost the same as the algorithm given by Bazaraa, Goode, Rardin [2]. |
| Illustrations: |
X, 482 p. |
| Publication: |
Germany |
| Imprint: |
Springer-Verlag Berlin and Heidelberg GmbH & Co. K |
| Returns: |
Returnable |
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