Handbook on MCDA Applications Chapter 7

Site selection for a university kindergarten in Madrid

Authors: T. Tervonen, G. Fernandez Barberis, J. Rui Figueira and M. C. Escribano

Comment: Rubis Best Choice Recommendation
Version: saved from RubisRestServer@leopold-loewenheim.uni.lu
Author: R. Bisdorff

Content

Method data

Comment: Rubis best choice recommendation in XMCDA format.
Version: 1.0
Parameter Value Comment
variant Rubis
valuationType bipolar
vetoType normal

List of Alternatives

Potential decision actions.

# Identifyer Name Comment
1 Ar Campus Arguelles Madrid centre.
2 Lr La Rozas West of Madrid centre.
3 Ma Majadahonda West of Madrid centre.
4 Mo Campus Moncloa Madrid centre. Same location as San Dominique.
5 Mp Campus Monteprincipe South West of Madrid centre.
6 Po Pozuelo Sout West of Madrid centre.
7 Sd San Dominique Madrid centre. Same loaction as Campus Moncloa

Rubis family of criteria.

# Identifyer Name Comment Weight Scale Thresholds
direction min max indifference weak preference preference weak veto veto
1 ACC Accessibility to Madrid city centre In minutes. The metropolitan area of Madrid covers a wide area, causing transportation accessibility to be of importantance when choosing a site for a new facility. In a city with heavy traffic congestion, the actual distance might not correlate with accessibility, and therefore we have chosen to measure it in minutes by public transportation from a central transport hub. 0.30 min 30.00 60.00 6.50 12.50
2 COP land and construction prize The sites have differing costs of location and construction depending on the building location (e.g. residential zone, city center or outskirts). 0.30 min 3000000.00 5500000.00 10000.00 100000.00
3 EFF Effects to the city landscape Government regulations define that effects to urban landscape, green spaces, and cultural heritage must be estimated. We measure them with odinal ranking number from best (1rst) to worst (7th). 0.10 min 1.00 7.00
4 MAC maintenance costs of the facility In euros / month, measured by estimating total fixed and variable costs (supplies, personnel, taxes, etc). 0.10 min 20000.00 50000.00 0.00 + -0.03x 0.00 + -0.08x
5 SIZ Size (in children) of the kindergarten size (in children) of the kindergarten to be built as measured with a number of day-care places. The Spanish government regulates \citep{BOE:2005,BOE:2007} the maximum number of children for $m^2$ and the required common services. The number of day-care places can be derived from the estimated building specifications. 0.20 max 100.00 300.00 1.50 3.00

Rubis Performance Table

alternative ACC COP EFF MAC SIZ
Ar 36.67 5238520.00 5.00 31750.00 167.00
Lr 49.00 3904800.00 2.00 38000.00 201.00
Ma 46.33 3146000.00 4.00 30500.00 159.00
Mo 39.17 4729000.00 7.00 29000.00 159.00
Mp 52.50 3937880.00 3.00 43500.00 234.00
Po 42.83 3317270.00 1.00 31750.00 167.00
Sd 38.33 4068450.00 6.00 26250.00 134.00

Ordinal Criteria Correlation Index

Comment: Generalisation of Kendall's τ to nested homogeneous semiorders.
correlation
relation ACC COP EFF MAC SIZ
ACC 1.00 -1.00 -0.90 -0.52 -0.90
COP -1.00 1.00 -0.90 -0.33 -0.14
EFF -0.90 -0.90 1.00 -0.90 -1.00
MAC -0.52 -0.33 -0.90 1.00 -0.90
SIZ -0.90 -0.14 -1.00 -0.90 1.00

Principal component analysis of the criteria correlation index

See PDF graphic file for better image quality and zooming options (generated with R).

Significantly Concordant Outranking Graph

( Black arrows indicate outranking situations supported by a criteria coalition of positive significance, i.e. gathering more than 50% of the global criteria significance weights. Empty arrow heads indicate an indeterminate outranking situation.)

See PDF graphic file for better image quality and zooming options (generated with GraphViz).

Bipolar-valued Outranking Relation

Comment: Rubis Choice Recommendation Relation

Valuation Domain

Comment: Significance degrees
Maximum 100
Median 0
Minimum -100

Valued Adjacency Table

Comment: Pairwise outranking significance degrees in the range: -100.00 to 100.00
Ar Lr Ma Mo Mp Po Sd
Ar 0.00 -20.00 10.00 20.00 -20.00 20.00 20.00
Lr 50.00 0.00 20.00 50.00 60.00 0.00 50.00
Ma 30.00 40.00 0.00 60.00 40.00 40.00 50.00
Mo 40.00 -20.00 20.00 0.00 -20.00 -20.00 0.00
Mp 20.00 30.00 20.00 20.00 0.00 -30.00 20.00
Po 100.00 60.00 30.00 80.00 60.00 0.00 80.00
Sd 40.00 -20.00 -20.00 60.00 -20.00 -20.00 0.00

Rubis Choice Recommendation

Comment: In decreasing order of determinateness. All values expressed in %.
# Choice set Determinateness Outrankingness Outrankedness Comment
1 { Po, } 65.00 65.00 35.00 Best choice
2 { Ma, } 65.00 65.00 40.00 Best choice

Potentially Bad Choices

Comment: All values expressed in %.
# Choice set Determinateness Outrankedness Outrankingness Comment
1 { Ar, } 60.00 60.00 40.00 Bad choice
2 { Mo, } 60.00 60.00 40.00 Bad choice

Content


Notice

Bisdorff R., Meyer P., Roubens M., Rubis: A new methodology for the choice decision problem. 4OR, A Quarterly Journal of Operational Research, Springer (2008), Vol 6 Number 2 pp. 143-165, DOI 10.1007/s10288-007-0045-5. PDF preprint version.

Online documentation: Decision Deck Project
Rubis XSL Transformation to HTML R. Bisdorff, $Revision: 1.6 $
XMCDA 2.0 Schema P. Meyer and Th. Veneziano 2009
Copyright © 2009 DECISION DECK Consortium