HierarchicalDEA-ValueAdditive_efficiencies

Provider:PUT
Version:1.0

Description

Computes efficiency scores for the given DMUs (alternatives) using Additive Data Envelopment Analysis Model with hierarchical structure of inputs and outputs.

Inputs

(For outputs, see below)

units

Description:

A list of alternatives (DMUs).

performance

Description:

A list of alternatives (DMUs) performances (on leaf hierarchy criteria).

XMCDA related:

  • Tag: performanceTable

  • Code:

    <performanceTable>
                                    <alternativePerformances>
                                            <alternativeID> [...] </alternativeID>
                                            <performance>
                                                    <criterionID>
                                                            [...]
                                                    </criterionID>
                                                    <value>[...]</value>
                                            </performance>
                                            [...]
                                    </alternativePerformances>
                                    [...]
                            </performanceTable>
    

inputs/outputs

Description:

A list of performance criteria (hierarchy leafs) and their preference direction. List has to contain at least one criterion that will be minimized (input) and at least one criterion that will be maximized (output) for each hierarchy category.

XMCDA related:

  • Tag: criteria

  • Code:

    <criteria>
            <criterion>
                                            <scale>
                    [...]
                                            </scale>
                [...]
            </criterion>
            [...]
        </criteria>
    

hierarchy

Description:

The hierarchical structure of criteria.

XMCDA related:

  • Tag: hierarchy

  • Code:

    <hierarchy>
        <node>
            <criterionID>[...]</criterionID>
            <node>
                <criterionID>[...]</criterionID>
                <node>
                    [...]
                </node>
                [...]
            </node>
            [...]
        </node>
    </hierarchy>
    

weights constraints

Optional: yes, disabled by default

Description:

A list of hierarchy criteria linear constraints.

XMCDA related:

  • Tag: criteriaLinearConstraints

  • Code:

    <criteriaLinearConstraints>
                                    <constraint>
                                            <element>
                                                    <criterionID> [...] </criterionID>
                                                    <coefficient>
                                                            [...]
                                                    </coefficient>
                                            </element>
                                            [...]
                                            <operator>[...]</operator>
                                            <rhs>
                                                    [...]
                                            </rhs>
                                    </constraint>
                                    [...]
                            </criteriaLinearConstraints>
    

parameters

Description:

Represents parameters.
“hierarchy node” is the ID of the hierarchy criterion for which the analysis should be performed; “transformToUtilities” means if data should be tranformed into values from range [0-1]; “boundariesProvided” means if inputsOutputs file contains information about min and max data for each factor.

GUI information:

  • Parameter values can be defined via the GUI or the XMCDA file, by default via GUI.
  • Name: hierarchy node
    • Type: string
    • Default value: “root”
  • Name: transform to utilities
    • Default value: true
  • Name: boundaries provided
    • Default value: false

XMCDA related:

  • Tag: methodParameters

  • Code:

    <methodParameters>
            <parameter id="hierarchyNode">
        <value><label>%1</label></value>
    </parameter>
            <parameter id="transformToUtilities">
                    <value><boolean>%2</boolean></value>
            </parameter>
            <parameter id="boundariesProvided">
                    <value><boolean>%3</boolean></value>
            </parameter>
    </methodParameters>
    

Outputs

min efficiency

Description:

A list of alternatives with computed minimum efficiency scores.

XMCDA related:

  • Tag: alternativesValues

  • Code:

      <alternativesValues>
                                      <alternativeValue>
                                        <alternativeID> [...] </alternativeID>
                                        <values>
      <value>
                                                [...]
                                          </value>
    </values>
                                      </alternativeValue>
                                      [...]
                              </alternativesValues>
    

max efficiency

Description:

A list of alternatives with computed maximum efficiency scores.

XMCDA related:

  • Tag: alternativesValues

  • Code:

      <alternativesValues>
                                      <alternativeValue>
                                        <alternativeID> [...] </alternativeID>
                                        <values>
      <value>
                                                [...]
                                          </value>
    </values>
                                      </alternativeValue>
                                      [...]
                              </alternativesValues>
    

min distance

Description:

A list of alternatives with computed minimal distance to efficienct frontier.

XMCDA related:

  • Tag: alternativesValues

  • Code:

      <alternativesValues">
                                      <alternativeValue>
                                        <alternativeID> [...] </alternativeID>
                                        <values>
      <value>
                                                [...]
                                          </value>
    </values>
                                      </alternativeValue>
                                      [...]
                              </alternativesValues>
    

max distance

Description:

A list of alternatives with computed maximal distrance fo efficient frontier.

XMCDA related:

  • Tag: alternativesValues

  • Code:

      <alternativesValues>
                                      <alternativeValue>
                                        <alternativeID> [...] </alternativeID>
                                        <values>
      <value>
                                                [...]
                                          </value>
    </values>
                                      </alternativeValue>
                                      [...]
                              </alternativesValues>
    

messages

Description:

A list of messages generated by the algorithm.

XMCDA related:

  • Tag: methodMessages

For further technical details on the web service underlying this program, have a look at its documentation here.