Grey linear programming, its solving approach, and its application
作者:
GUOHE HUANG,
R. DAN MOORE,
期刊:
International Journal of Systems Science
(Taylor Available online 1993)
卷期:
Volume 24,
issue 1
页码: 159-172
ISSN:0020-7721
年代: 1993
DOI:10.1080/00207729308949477
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
In systems analysis, uncertainties may exist in model parameters and input data. Those uncertainties can propagate through the analysis and generate uncertainty in the results. Grey systems theory offers a method for incorporating uncertainties into systems analysis. In this paper, a new method of solution for a grey linear programming (GLP) model is advanced. The GLP model allows grey messages concerning the model parameters and input data to be communicated into optimization processes and solutions. A new application field—grey systems analysis of water resource planning and decision making under uncertainty—is introduced, and a case study is reported of water quantity allocation and quality planning in a drainage basin area connected to a water delivery canal in Xiamen, China. The results indicate that the solutions derived are feasible for the study area. Sensitivity tests of the effects of grey inputs on grey outputs are reported. It is indicated that the grey degrees of the solutions increase along with increases of those of input grey coefficients. When the grey degrees of input grey coefficients increase from 10% to 15% and 20%, those of grey solutions increase from 18.76% to 35.00% and 82.35%, correspondingly. The test results indicate that the grey solutions (grey outputs) can reflect the effects of input grey messages.
点击下载:
PDF (402KB)
返 回