Hart and Mas-Colell consistency in PERT problems

Gustavo Bergantiños; Alfredo Valencia-Toledo; Juan Vidal-Puga

doi:10.1016/j.dam.2017.08.012

Hart and Mas-Colell consistency in PERT problems

Gustavo Bergantiños, Alfredo Valencia-Toledo, Juan Vidal-Puga

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

The Program Evaluation Review Technique (PERT) is a tool used to schedule and coordinate activities in a complex project. In assigning the cost of a potential delay, we characterize the Shapley rule as the only rule that satisfies Hart and Mas-Colell consistency and other desirable properties.

Original language	English
Pages (from-to)	11-20
Number of pages	10
Journal	Discrete Applied Mathematics
Volume	243
DOIs	https://doi.org/10.1016/j.dam.2017.08.012
State	Published - 10 Jul 2018
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2017 Elsevier B.V.

Keywords

Consistency
Delay
PERT problem

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10.1016/j.dam.2017.08.012

Cite this

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title = "Hart and Mas-Colell consistency in PERT problems",

abstract = "The Program Evaluation Review Technique (PERT) is a tool used to schedule and coordinate activities in a complex project. In assigning the cost of a potential delay, we characterize the Shapley rule as the only rule that satisfies Hart and Mas-Colell consistency and other desirable properties.",

keywords = "Consistency, Delay, PERT problem",

author = "Gustavo Berganti{\~n}os and Alfredo Valencia-Toledo and Juan Vidal-Puga",

note = "Publisher Copyright: {\textcopyright} 2017 Elsevier B.V.",

year = "2018",

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doi = "10.1016/j.dam.2017.08.012",

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AU - Bergantiños, Gustavo

AU - Valencia-Toledo, Alfredo

AU - Vidal-Puga, Juan

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Y1 - 2018/7/10

N2 - The Program Evaluation Review Technique (PERT) is a tool used to schedule and coordinate activities in a complex project. In assigning the cost of a potential delay, we characterize the Shapley rule as the only rule that satisfies Hart and Mas-Colell consistency and other desirable properties.

AB - The Program Evaluation Review Technique (PERT) is a tool used to schedule and coordinate activities in a complex project. In assigning the cost of a potential delay, we characterize the Shapley rule as the only rule that satisfies Hart and Mas-Colell consistency and other desirable properties.

KW - Consistency

KW - Delay

KW - PERT problem

UR - http://www.scopus.com/inward/record.url?scp=85029564458&partnerID=8YFLogxK

U2 - 10.1016/j.dam.2017.08.012

DO - 10.1016/j.dam.2017.08.012

M3 - Artículo

AN - SCOPUS:85029564458

SN - 0166-218X

VL - 243

SP - 11

EP - 20

JO - Discrete Applied Mathematics

JF - Discrete Applied Mathematics

ER -

Hart and Mas-Colell consistency in PERT problems

Abstract

Bibliographical note

Keywords

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