A project game for PERT networks

Castro, Javier; Gómez, Daniel; Tejada, Juan

doi:10.1016/j.orl.2007.01.003

Cited by 24 publications

(14 citation statements)

References 6 publications

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“…A "dual" problem has been previously studied by Bergantiños and Sánchez (2002a), Branzei et al (2002), and Castro et al (2007Castro et al ( , 2008a. In these papers the project is delayed and a cost is generated.…”

Section: An Applicationmentioning

confidence: 99%

“…Second, they define rules based on delays of paths. Castro et al (2007) model the problem as a cooperative game. Castro et al (2008a) present a rule which is a weighted version of serial cost sharing problems.…”

Section: An Applicationmentioning

confidence: 99%

“…There exists another difference between these papers. Branzei et al (2002) and Castro et al (2007) divide the delay of the project. Bergantiños and Sánchez (2002a) and Castro et al (2008a) divide the total cost caused by the delay.…”

Section: An Applicationmentioning

confidence: 99%

“…In this paper we follow the approach of Branzei et al (2002) and Castro et al (2007). We divide the time saved in the project (the difference between the PERT time and the actual completion time) among the activities.…”

Section: An Applicationmentioning

confidence: 99%

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A VALUE FOR PERT PROBLEMS

Bergantiños

Vidal-Puga

2009

Int. Game Theory Rev.

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The PERT (Program Evaluation Review Technique) is a operational research tool used to schedule and coordinate activities in a complex project. We present two values for measuring the importance of each activity. Both values are obtained through an axiomatic characterization using three properties. The first value is characterized with separability, monotonicity, and order preservation. The second value is characterized with separability, equal treatment inside a component, and independence of large durations. We also present an application to the problem of how to share the surplus obtained when a project finishes before the expected completion time.

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Section: An Applicationmentioning

confidence: 99%

Section: An Applicationmentioning

confidence: 99%

Section: An Applicationmentioning

confidence: 99%

Section: An Applicationmentioning

confidence: 99%

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A VALUE FOR PERT PROBLEMS

Bergantiños

Vidal-Puga

2009

Int. Game Theory Rev.

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“…It is a statistical tool based on network diagram to calculate the time parameters and allocate resources for each task [4]. Castro et al presented how to use the PERT to control the project [5]. Ballesteros-Pérez updated the PERT and proposed a refined M-PERT to conduct the modeling of real-life projects and deal with activities that have uncertain durations [6].…”

Section: Introductionmentioning

confidence: 99%

CAD Model Segmentation Algorithm Using the Fusion of PERT and Spectral Technology

Wei

2019

Mathematical Problems in Engineering

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For complex CAD models, model segmentation technology is an important support for model retrieval and reuse. In this article, we first propose a novel CAD model segmentation method that uses the fusion of the program/project evaluation and review technique (PERT) and the Laplacian spectrum theory. By means of PERT, spectral theory, and the CAD models’ geometrical and topological information, we transform the b-rep model faces into two-dimensional coordinate points corresponding to the nodes of the attributed adjacent graph (AAG). The k-means approach with the Silhouette coefficient was employed to conduct unsupervised learning of the coordinate points. The experimental results demonstrate that (1) the proposed approach can effectively transform the b-rep model into a two-dimensional coordinate point set; (2) the k-means algorithm can efficiently cluster points to achieve segmentation; and (3) in view of human cognition, the segmentation results are more reasonable. It can effectively divide the point set into several groups to achieve the model segmentation.

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Cooperative Supply Chain Scheduling

Chen

Hall

2021

International Series in Operations Research &Amp; Management Science

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A project game for PERT networks

Cited by 24 publications

References 6 publications

A VALUE FOR PERT PROBLEMS

A VALUE FOR PERT PROBLEMS

CAD Model Segmentation Algorithm Using the Fusion of PERT and Spectral Technology

Cooperative Supply Chain Scheduling

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