An alternative approach towards dealing with uncertainty in project time analysis

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60460709%3A41110%2F19%3A79465" target="_blank" >RIV/60460709:41110/19:79465 - isvavai.cz</a>

Result on the web

—

DOI - Digital Object Identifier

—

Result language

čeština

Original language name

An alternative approach towards dealing with uncertainty in project time analysis

Original language description

Critical path method is a fundamental tool of time analysis in project planning. Due to its deterministic nature, it does not reflect any aspects of uncertainty that might occur in the actual real-world applications. The ways of embedding uncertainty into mathematical model of project time analysis have been widely used, in its basic form represented by probabilistic approach of PERT or GERT. We introduce an alternative viewpoint on uncertainty appearing in activity duration evaluation. First, the stated problem is formulated as a longest path problem in directed acyclic graph in the form of mixed integer linear program. Further on, we take an advantage of two different robust formulations that allow to identify critical scenarios in case any deviations from deterministic values of activity durations should appear. It turns out that different concepts of robustness must be used depending whether the duration of an activity was prolonged or contracted. The resulting scenarios show the worst-case situa

Czech name

An alternative approach towards dealing with uncertainty in project time analysis

Czech description

Critical path method is a fundamental tool of time analysis in project planning. Due to its deterministic nature, it does not reflect any aspects of uncertainty that might occur in the actual real-world applications. The ways of embedding uncertainty into mathematical model of project time analysis have been widely used, in its basic form represented by probabilistic approach of PERT or GERT. We introduce an alternative viewpoint on uncertainty appearing in activity duration evaluation. First, the stated problem is formulated as a longest path problem in directed acyclic graph in the form of mixed integer linear program. Further on, we take an advantage of two different robust formulations that allow to identify critical scenarios in case any deviations from deterministic values of activity durations should appear. It turns out that different concepts of robustness must be used depending whether the duration of an activity was prolonged or contracted. The resulting scenarios show the worst-case situa

Type

D - Article in proceedings

CEP classification

—

OECD FORD branch

10102 - Applied mathematics

Project

—

Continuities

S - Specificky vyzkum na vysokych skolach

Publication year

2019

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection

37th International Conference on Mathematical Methods in Economics 2019 Conference proceedings

ISBN

978-80-7394-760-6

ISSN

—

e-ISSN

—

Number of pages

6

Pages from-to

433-438

Publisher name

University of South Bohemia in České Budějovice, Faculty of Economics

Place of publication

České Budějovice

Event location

České Budějovice

Event date

Sep 11, 2019

Type of event by nationality

WRD - Celosvětová akce

UT code for WoS article

000507570400072