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  • 标题:An improved three-step method for solving the interval linear programming problems
  • 作者:Allahdadi, Mehdi ; Deng, Chongyang
  • 期刊名称:Yugoslav Journal of Operations Research
  • 印刷版ISSN:0354-0243
  • 电子版ISSN:1820-743X
  • 出版年度:2018
  • 卷号:28
  • 期号:4
  • 页码:435-451
  • DOI:10.2298/YJOR180117020A
  • 出版社:Faculty of Organizational Sciences, Belgrade, Mihajlo Pupin Institute, Belgrade, Economics Institute, Belgrade, Faculty of Transport and Traffic Engineering, Belgrade, Faculty of Mechanical Engineering, Belgrade
  • 摘要:Feasibility condition, which ensures that the solution space does not violate any constraints, and optimality condition, which guarantees that all points of the solution space are optimal, are very significant conditions for the solution space of interval linear programming (ILP) problems. Among the existing methods for ILP problems, the best-worst cases (BWC) method and two-step method (TSM) do not ensure feasibility condition, while the modified ILP (MILP), robust TSM (RTSM), improved TSM (ITSM), and three-step method (ThSM) guarantee feasibility condition, whose solution spaces may not be completely optimal. We propose an improved ThSM (IThSM) for ILP problems, which ensures both feasibility and optimality conditions, i.e., we introduce an extra step to optimality.
  • 关键词:Feasibility; Interval Linear Programming; Optimality; Robust two-step Method; Three-step Method
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