A new analytical algorithm for computing probability distribution of project completion time

作者：Hou Zhen ting^*; Zhang Xuan; Kong Xiang xing

来源：Journal of Central South University of Technology, 2010, 17(5): 1006-1010.

DOI：10.1007/s11771-010-0591-4

• stochastic activity networks
• project completion time distribution function
• Markov process
• supplementary variable technique

An analytical algorithm was presented for the exact computation of the probability distribution of the project completion time in stochastic networks, where the activity durations are mutually independent and continuously distributed random variables Firstly stochastic activity networks were modeled as continuous-time Markov process with a single absorbing state by the well-know method of supplementary variables and the time changed from the initial state to absorbing state is equal to the project completion time Then, the Markov process was regarded as a special case of Markov skeleton process By taking advantage of the backward equations of Markov skeleton processes, a backward algorithm was proposed to compute the probability distribution of the project completion time Finally, a numerical example was solved to demonstrate the performance of the proposed methodology The results show that the proposed algorithm is capable of computing the exact distribution function of the project completion time, and the expectation and variance are obtained

• 出版日期2010-10
• 单位中南大学