AirportProblems: Analysis of Cost Allocation for Airport Problems
Airport problems, introduced by Littlechild and Owen (1973)
<https://www.jstor.org/stable/2629727>, are cost allocation
problems where agents share the cost of a facility (or service) based on
their ordered needs. Valid allocations must satisfy no-subsidy constraints,
meaning that no group of agents contributes more than the highest cost of
its members (i.e., no agent is allowed to subsidize another). A rule is a
mechanism that selects an allocation vector for a given problem. This
package computes several rules proposed in the literature, including both
standard rules and their variants, such as weighted versions, rules for
clones, and rules based on the agents’ hierarchy order. These rules can be
applied to various problems of interest, including the allocation of
liabilities and the maintenance of irrigation systems, among others.
Moreover, the package provides functions for graphical representation,
enabling users to visually compare the outcomes produced by each rule,
or to display the no-subsidy set. In addition, it includes four datasets
illustrating different applications and examples of airport problems. For a
more detailed explanation of all concepts, see Thomson (2024)
<doi:10.1016/j.mathsocsci.2024.03.007>.
| Version: |
0.1.0 |
| Depends: |
R (≥ 3.5) |
| Imports: |
graphics, grDevices, magrittr, plotly, stats, utils |
| Suggests: |
rmarkdown |
| Published: |
2025-05-05 |
| DOI: |
10.32614/CRAN.package.AirportProblems |
| Author: |
Alejandro Bernárdez Ferradás
 [aut, cre]
(SiDOR. Departamento de Estatística e Investigación Operativa.
Universidade de Vigo. CITMAga. Spain),
Estela Sánchez Rodríguez
[aut] (SiDOR.
Departamento de Estatística e Investigación Operativa. Universidade
de Vigo. CITMAga. Spain),
Miguel Ángel Mirás Calvo
[aut] (RGEAF.
Departamento de Matemáticas. Universidade de Vigo. Spain),
Carmen Quinteiro Sandomingo
[aut]
(Departamento de Matemáticas. Universidade de Vigo. Spain),
MCIN/AEI/10.13039/501100011033 [fnd] (Project PID2021-124030NB-C33.
ERDF A way of making Europe/EU) |
| Maintainer: |
Alejandro Bernárdez Ferradás <alejandro.bernardez at uvigo.es> |
| License: |
GPL-3 |
| NeedsCompilation: |
no |
| Materials: |
NEWS |
| CRAN checks: |
AirportProblems results |
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