Postoptimization of the model of water supply for urban and industrial agglomeration

被引:2
|
作者
Wawrzosek, Jacek [1 ]
Ignaciuk, Szymon [1 ]
机构
[1] Univ Life Sci Lublin, Fac Prod Engn, Dept Appl Math & Comp Sci, Gleboka 28, PL-20612 Lublin, Poland
来源
关键词
linear programming; sensitivity analysis; postoptimization; water supply in agglomerations; SENSITIVITY-ANALYSIS; SHADOW PRICES; DEGENERACY;
D O I
10.1051/itmconf/20182300035
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A case study of the tools used by an analyst of the economic aspects of the operation of the water supply network has been undertaken in this paper. All issues discussed here are formulated by using degenerated linear programming models ( PL ). Below, it is noted that the linear dependence of binding constraints ( CO ) distorts standard postoptimization procedures in PL. This observed fact makes postoptimization analysis mostly unhelpful for an average analyst due to problems with the interpretation of ambiguous sensitivity reports which are obtained from popular computer packages. In standard postoptimization methods, changes to single parameters of the right-hand vector CO are analyzed or referred to parametric linear programming that unfortunately requires prior knowledge of mathematically and economically justified vectors of changes of right-hand sides CO. Therefore, it is suggested that modifications are introduced to some of the postoptimization procedures in this work. For issues in the field of hydrology, the following were presented: interpretation and methods of generating justified vectors of changes of right-hand sides of limiting conditions. And so, the procedure of generating infmitely many solutions of the dual issue based on certain vectors orthogonal to the vector of right-hand sides of constraint conditions was demonstrated. Furthermore, the same orthogonal vectors were used to obtain nodal solutions of the dua01 model and the corresponding vectors of changes of the entire right-hand sides of the constraint conditions. Then, managerial interpretation was applied to this way of proceeding. The methods presented in the work serve to improve the functioning of the system of water supply.
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页数:5
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