Slika omota

THE CONVEX SIMPLEX METHOD

Spremljeno u:
Izdano u:Management Science (pre-1986) vol. 14, no. 3 (Nov 1967), p. 221-238
Glavni autor: Zangwill, Willard I
Izdano:
Institute for Operations Research and the Management Sciences
Teme:
Management science
Costs
Mathematical programming
Variables
Linear programming
Methods
Algorithms
Simplex method
Online pristup:Citation/Abstract
Full Text - PDF
Oznake: Dodaj oznaku
Bez oznaka, Budi prvi tko označuje ovaj zapis!
Sažetak: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
Izvor:ABI/INFORM Global