Evaluation of mean and variance approximations in three point estimation of task completion times using the beta and the Kumaraswamy distribution
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作者:
Bochard P.O.
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机构:
Área de Mecatrónica, Universidad Tecnológica Del Uruguay, MontevideoÁrea de Mecatrónica, Universidad Tecnológica Del Uruguay, Montevideo
Bochard P.O.
[1
]
Schwarz T.
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机构:
Department of Mathematics, Statistics and Computer Science, Marquette University, Milwaukee, WIÁrea de Mecatrónica, Universidad Tecnológica Del Uruguay, Montevideo
Schwarz T.
[2
]
机构:
[1] Área de Mecatrónica, Universidad Tecnológica Del Uruguay, Montevideo
[2] Department of Mathematics, Statistics and Computer Science, Marquette University, Milwaukee, WI
Beta distribution;
Expert judgement;
Kumaraswamy distribution;
Mean and variance approximations;
PERT;
Project management;
Task completion times;
Three-point estimations;
D O I:
10.1504/ijitm.2019.10024390
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摘要:
Estimation of task and project completion times within IT projects remains one of the most error-prone, but also most critical duties of an IT project manager. Various three-point methods of PERT have been evaluated by assuming that the true distribution is a beta-distribution. We evaluate PERT methods by comparing additionally with the Kumaraswamy distribution, which has an equal claim to be the true a-priori distribution for project completion times. We use skew and kurtosis in order to define test sets instead of simply choosing a range of shape parameters. We validate various approximations proposed in the literature and show that valid approximations are possible. Copyright 2019 Inderscience Enterprises Ltd.