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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 (Paperback, Softcover reprint of the original 1st ed. 1984)
Loot Price: R3,041
Discovery Miles 30 410
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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 (Paperback, Softcover reprint of the original 1st ed. 1984)
Series: Lecture Notes in Economics and Mathematical Systems, 226
Expected to ship within 10 - 15 working days
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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].
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