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Selected problems of ambiguity of the dual price of water in the post-optimization analysis of the water supply system
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Department of Applied Mathematics and Computer Science University of Life Sciences in Lublin ul. Głęboka 28, 20-612 Lublin, Poland
Publication date: 2019-06-30
Eksploatacja i Niezawodność – Maintenance and Reliability 2019;21(2):329–340
In literature it is believed that the dual price of water is an objective premise for shaping the market price of water. However, the authors note that a single vector of dual prices in the distribution of water, when ambiguous, should not become the basis for making decisions both regulating the price of water and affecting the procedures for modernizing the water supply network. This work cautions water management engineers not to duplicate common software errors and indicates how, despite the complete lack of literature tips, the technical problems encountered could be practically solved. The linear dependence of the row vectors of the left-hand parameters of binding constraints in the linear programming model for water consumption is identified here as the reason for the ambiguity of dual price vectors. This ambiguity in the issues of water distribution requires shaping alternative technical scenarios allowing for a variant selection of the method for modifying the water abstraction system. Therefore, the principles for determining the proportionality of simultaneous changes in certain parameters of the right-hand conditions of constraint conditions are described. These principles for the optimal selection of the most productive vectors for the parametric linear programming method were formulated and indicated on a simplified model of water distribution. The methodology developed in the work enables, among others, generating alternative technical scenarios for saving varying amounts of water, resulting in various financial savings
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