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THE CONVEX SIMPLEX METHOD

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Yayımlandı:Management Science (pre-1986) vol. 14, no. 3 (Nov 1967), p. 221-238
Yazar: Zangwill, Willard I
Baskı/Yayın Bilgisi:
Institute for Operations Research and the Management Sciences
Konular:
Management science
Costs
Mathematical programming
Variables
Linear programming
Methods
Algorithms
Simplex method
Online Erişim:Citation/Abstract
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Özet:This paper presents a method, called the convex simplex method, for minimizing a convex objective function subject to linear inequality constraints. The method is a true generalization of Dantzig's linear simplex method both in spirit and in the fact that the same tableau and variable selection techniques are used. With a linear objective function the convex simplex method reduces to the linear simplex method. Moreover, the convex simplex method actually behaves like the linear simplex method whenever it encounters a linear portion of a convex objective function. Many of the sophisticated techniques designed to enhance the efficiency of the linear simplex method are applicable to the convex simplex method. In particular, as an example, a network transportation problem with a convex objective function is solved by using the standard transportation tableau and by only slightly modifying the usual procedure for a linear objective function.
ISSN:0025-1909
1526-5501
Kaynak:ABI/INFORM Global