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《Mathematics in Practice and Theory》 2013-01
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Method of Critical Path Variation Analysis and Its Application

(JIN Liang-hai,CHEN Li,WEI Xiong-wei,HUANG He) (College of Hydraulic&Environmental Engineering,China Three Gorges University,Yichang 443002,China)  
Traditional critical path method(CPM),calculated many time parameters of the process to determine the duration and critical path of project.It's convenient and feasible for simple network,but for a large and complex network,there must be many time-parameters and computationally intensive problems.In addition,projects have a universal complexity and the duration often needed to be optimized,so the critical path may change.In order to simplify the calculation and solve the problem of critical path may change,0-1 programming method was used to establish the mathematical model of computing network plans to adapt to different sizes projects and fast solute parameters of model within WinQSB environment, and then through the sensitivity analysis of the objective function to make sure the range of the variable,effectively determine whether the critical path changes.The example shows that the proposed method can help to quickly and easily conclude whether the critical path changes without recalculation.
【Fund】: 国家自然科学基金(51079078);; 三峡大学人才启动基金(KJ2009B068)
【CateGory Index】: O221.4
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