doi:10.3808/jei.200800105
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The Interval Linear Programming: A Revisit

F. Zhou1*, H. C. Guo1, G. X. Chen2 and G. H. Huang3

  1. College of Environmental Sciences and Engineering, Peking University, Beijing 100871, P. R. China
  2. LMAM and CCSE, School of Mathematical Sciences, Peking University, Beijing 100871, P. R. China
  3. Department of Civil and Environmental Engineering, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada

*Corresponding author. Tel: +86 10 62751921 Fax: +86 10 62751921 Email: jardon.zhou@gamil.com

Abstract


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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