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Strategic Study of CAE >> 2009, Volume 11, Issue 2

Linear programming method with LR type fuzzy numbersfor network scheduling

School of Economics and Management, Nanjing University of Science and Technology, Nanjing 210094, China

Funding project:“八六三”高技术研究和发展计划资助项目(2007 KX301) ;江苏科协重大软科学资助项目( RS06108) Received: 2008-09-18 Available online: 2009-02-06 09:31:23.000

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Abstract

Estimation of activity duration is a basic problem for project scheduling. However, the uncertainty of activity duration originates from both probability and fuzziness in the real world. This paper develops a linear programming method with LR type fuzzy numbers, which aims to estimate activity duration and identify critical path, and applies the λ - cut to indicate the degree of optimism of a decision maker. Finally, an example is given to demonstrate the application and validity of the proposed method.

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References

[ 1 ] 卢向南.项目计划与控制[M].北京:机械工业出版社.2006:66-68

[ 2 ] 褚春超.复杂工序关系的模糊网络计划分析与建模[J].天津大学学报,2006,39(5):631-636 link1

[ 3 ] Gazdik I . Fuzzy-network planning - FNET [J] . IEEE Transaction on Reliability , 1983 , 32(3) :304 - 313 link1

[ 4 ] McCahon C S . Using PERT as an approximation of fuzzy projectionnetwork analysis [J] . IEEE Transactions on Engineering Management , link1

[ 5 ] Nasution S H . Fuzzy critical path method [J] . IEEE Transactions on system , Man and Cybernetics , 1994 , 24(1) :48 - 57 link1

[ 6 ] Yao Jinshing . Fuzzy critical path method based on signed distance ranking of fuzzy numbers [J] .IEEE Transaction on Systems , Man and Cybernetics .Part A , 2000 , 30 (1) : 76 - 82 link1

[ 7 ] Stefan Chanas , Pawel Zielinski . Critical Path analysis in the network with fuzzy activity times [J] , Fuzzy Sets and Systems , 2001 , (122) : 195 - 204 link1

[ 8 ] Dubois D , Prade H . Operations on fuzzy numbers [J] , International Journal of Systems and Science , 1978 , (30) :613 - 626 link1

[ 9 ] Hua Ke , Liu Baoding . Project scheduling problem with mixed uncertainty of randomness and fuzziness [ J ] . European Journal of Operational Research , 2007 ,(183) : 135 - 147 link1

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