Analysis of project crashing problem under fuzzy environments

• Main Authors: Ming-jiun Tsai, 蔡明君
• Other Authors: Shih-pin Chen
• Format: Others
• Language: zh-TW
• Published: 2009
• Online Access: http://ndltd.ncl.edu.tw/handle/53599731558694577796

碩士 === 國立中正大學 === 企業管理所 === 97 === This paper proposes an approach to project crashing problem for a project network with activity times and crashing cost being fuzzy numbers, in that the membership function of the fuzzy total crashing cost is constructed. The basic idea is based on the extension principle and linear programming formulation. A pair of linear programs parameterized by possibility level α is formulated to calculate the lower and upper bounds of the fuzzy total crashing cost at α. By enumerating different values of α, the membership function of the fuzzy total crashing cost is constructed, and the optimal activity times. The fuzzy total crashing cost is completely expressed by a membership function rather than by a crisp value, the fuzziness of activity times and crashing cost is conserved completely, and more information is provided for project crashing problem.