Linear programming by nested decomposition : the primal decomplex method
作者:
CORNELISA. de KLUYVER,
期刊:
International Journal of Systems Science
(Taylor Available online 1980)
卷期:
Volume 11,
issue 3
页码: 345-353
ISSN:0020-7721
年代: 1980
DOI:10.1080/00207728008967018
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
A new algorithm for linear programming, based on nested decomposition principles, is presented and illustrated. The method, labelled the primal Decomplex method (from DECOMposition and simPLEX), is distinct from other well known linear programming algorithms in that a sequence of extreme points is generated which is neither all primally nor all dually feasible. Rather, primal feasibility to only pars of the constraint set is enforced at each instant. A distinguishing feature of the method is its relative simplicity : anm-row linear program is decomposed intomsub-problems each consisting of a single (transformed) constraint and a convexity row.
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