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基于可信度法求解区间双层线性规划问题 被引量:1

Solving Interval Bilevel Linear Programming Problem Based on Credibility Method
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摘要 采用区间数可信度方法,给出区间双层线性规划问题可行域和最优解的概念,并利用单层与双层规划最优值区间方法和极大极小算子,构建区间双层线性规划问题的确定等价模型.数值算例结果表明该方法有效. Using the credibility method for interval numbers,the author gave the concepts of the feasible region and the optimal solution for the interval bilevel linear programming problem.By means of the optimal value interval methods of single level and bilevel programming as well as max-min operator,the author constructed a deterministic equivalent model for the interval bilevel linear programming problem.A numerical example result show that the method is effective.
作者 任爱红
出处 《吉林大学学报(理学版)》 CAS CSCD 北大核心 2018年第2期268-272,共5页 Journal of Jilin University:Science Edition
基金 国家自然科学基金(批准号:61602010) 陕西省自然科学基础研究计划项目(批准号:2017JQ6046) 陕西省教育厅专项科研计划项目(批准号:17JK0047)
关键词 双层规划 区间数 区间双层规划 可信度 bilevel programming interval number interval bilevel programming credibility
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  • 1Nakahara Y, Sasaki M,Gen M. On the linear programming problems with interval coefficients [ J ]. International Journal of Computer Industrial Engineering, 1992,23 ( 1 ) :301 - 304.
  • 2Ishibuchi H, Tanaka H. Formulation and analysis of linear programming problem with interval coefficients [ J ], Journal of Japan Industrial Management Association, 1989,40 (5) :320 - 329.
  • 3Atanu Senguta,Tapan Kumar Pal. On comparing interval numbers [ J ]. European Journal of Operational Research,2000, 127(1) :28 -43.
  • 4Tanaka H,Ukuda T,Asal K. On fuzzy mathematical programming [J]. Journal of Cybernetics,1984,3 (4):37-46.
  • 5Rommelfanger H,Hanuscheck R and Wolf J. Linear programming with fuzzy objectives[J]. Fuzzy Sets and Systems,1989,29(1)131-48.
  • 6Tong Shaocheng.Interval number and fuzzy number linear programmings [J]. Fuzzy Sets and Systems,1994,66(3):301-306.
  • 7Sengupta A,Pal T K. On comparing interval numbers [J].European Journal of Operational Research, 2000,127(1):28-43.
  • 8Bazaraa M S,Shetty C M. Nonlinear Programming Theory and Algorithms [M].New York:Wiley.1979.
  • 9FANG L,LI H C.A comment on "cost efficiency in data envelop-ment analysis with data uncertainty "[J].European Journal of Opera-tional Research,2012,220(2):588-590.
  • 10HANSEN P,JAUMARD B,SAVARD G.New branch-and-boundrules for linear bilevel programming[J]SIAM Journal on Scientificand Statistical Computing,1992,13(3):1194-1217.

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