Estimating the mean completion time of PERT networks with exponentially distributed durations of activities
type: Item
instance of: scholarly article
title: Estimating the mean completion time of PERT networks with exponentially distributed durations of activities
zbMATH Open document ID: 0804.90052
DOI: 10.1016/0377-2217(93)90261-K
author: Jan Magott
author: Kamil Skudlarski
published in: European Journal of Operational Research
publication date: 1993-01-01T00:00:00Z
review text: The paper presents an efficient method for estimating the expected duration of a project with exponentially and independently distributed activity times. Since the hypoexponential distribution, being the convolution of exponential distributions, is not preserved under multipliation, the distribution of the maximum of two independent random variables with hypoexponential distributions is proposed to be approximated by a hypoexponential distribution having the same mean and variance. Though the method tends strongly to overestimate the exact value of the expected project duration, it does not have bounding properties. The accuracy of the method is examined on some simple examples, and the results are encouraging.
Mathematics Subject Classification ID: 90B15
zbMATH DE Number: 550244
zbMATH Keywords: PERT networks
zbMATH Keywords: expected duration of a project
zbMATH Keywords: hypoexponential distribution
reviewed by: Jerzy Kamburowski
MaRDI profile type: Publication
cites work: Q4158362
cites work: The IFRA closure problem
cites work: Inequalities for the Completion Times of Stochastic PERT Networks
cites work: An upper bound on the expected completion time of PERT networks
cites work: Markov and Markov-Regenerative <scp>pert</scp> Networks
cites work: Q3321201
cites work: Q3658792
full work available at URL: 0377-2217(93)90261-k
OpenAlex ID: W2006583220
description: scientific article; zbMATH DE number 550244