Symmetric duality theory for linear goal programming
作者:
W. Ogryezak,
期刊:
Optimization
(Taylor Available online 1988)
卷期:
Volume 19,
issue 3
页码: 373-396
ISSN:0233-1934
年代: 1988
DOI:10.1080/02331938808843354
出版商: Akademic-Verlag
关键词: Goal programming;linear programming;duality;Primary:90C31;Secondary:90C05
数据来源: Taylor
摘要:
Linear goal programming (GP) is a widely used tool for dealing with problems involving multiple objectives. This paper aims to develope a new concept of duality for GP. In this concept the dual to a minsum GP problem is a GP problem and the dual to a lexicographic GP problem is a multidimensional lexicographic GP problem. We prove most of the typical dual relations including the saddle-point property and the formula for marginal values.
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