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The Interval Linear Programming: A Revisit
Interval linear programming (ILP) was developed by Huang and Moore (1993) and was widely applied in environmental and resources management. However, the feasibility of optimal solutions for affect directly in generating several decision alternatives, thus a modified interval linear programming (MILP) model is developed to assure its solution space could be absolutely feasible, and its solution algorithm is proposed to incorporates the associated extra constraints into the upper- and lower- bounds submodels. Moreover, the proofs for determining A and B in corresponding constraints are refined in this study. The results of numeric example and its application in water-quality management of Lake Qionghai Basin (China) further indicated the feasibility and effectiveness of the developed MILP model.
Keywords: linear programming, optimization, uncertainty, feasibility, Lake Qionghai
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