DEAvalueADDEfficiencyBounds

Provider:PUT
Version:1.0

Description

Computes efficiency bounds for the given DMUs (alternatives) using additive Data Envelopment Analysis Model.

  • Contact: Malgorzata Napieraj (napieraj.malgorzata@gmail.com)
  • Reference: Gouveia M. C., Dias L. C., Antunes C. H., Super-efficiency and stability intervals in additive DEA (2012).

Inputs

(For outputs, see below)

inputsOutputs

Description:

A list of criteria with specified preference direction. List has to contains at least one criterion that will be minimized (input) and at least one criterion that will be maximized (output). In addition, minimum and maximum possible value for each critetion can be defined. If not defined, they will be computed from alternatives performances on given criteria.

units

Description:

A list of alternatives (DMUs).

XMCDA related:

  • Tag: alternatives

  • Code:

    <alternatives>
                        <alternative>
                            [...]
                        </alternative>
                        [...]
                    </alternatives>
    

performanceTable

Description:

A list of alternatives (DMUs) performances.

XMCDA related:

  • Tag: performanceTable

  • Code:

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

weightsLinearConstraints

Optional: yes, disabled by default

Description:

A list of criteria linear constraints.

XMCDA related:

  • Tag: criteriaLinearConstraints

  • Code:

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

methodParameters

Description:

“boundariesProvided” indicates if criteria values boundaries are given in criteria input or they have to be computed based on alternatives performances. “transformToUtilites” indicates if given alternatives values are utilities or if they have to be firstly transformed to utilities.

GUI information:

  • Parameter values can be defined via the GUI or the XMCDA file, by default via GUI.
  • Name: boundariesProvided
    • Default value: false
  • Name: transformToUtilities
    • Default value: true

XMCDA related:

  • Tag: methodParameters

  • Code:

    <methodParameters>
                                                        <parameter name="boundariesProvided">
                                                                <value><boolean>%1</boolean></value>
                                                        </parameter>
                                                        <parameter name="transformToUtilities">
                                                                <value><boolean>%2</boolean></value>
                                                        </parameter>
                                        </methodParameters>
    

Outputs

minEfficiency

Description:

A list of alternatives with computed minimum efficiency scores.

XMCDA related:

  • Tag: alternativesValues

  • Code:

    <alternativesValues mcdaConcept="minEfficiency">
                                                <alternativeValue>
                                                  <alternativeID>[...]</alternativeID>
                                                  <value>
                                                        [...]
                                                  </value>
                                                </alternativeValue>
                                                [...]
                                        </alternativesValues>
    

minDistance

Description:

A list of alternatives with computed minimum distances from efficient DMUs.

XMCDA related:

  • Tag: alternativesValues

  • Code:

    <alternativesValues mcdaConcept="minDistance">
                                                <alternativeValue>
                                                  <alternativeID>[...]</alternativeID>
                                                  <value>
                                                        [...]
                                                  </value>
                                                </alternativeValue>
                                                [...]
                                        </alternativesValues>
    

maxEfficiency

Description:

A list of alternatives with computed maximum efficiency scores.

XMCDA related:

  • Tag: alternativesValues

  • Code:

    <alternativesValues mcdaConcept="maxEfficiency">
                                                <alternativeValue>
                                                  <alternativeID>[...]</alternativeID>
                                                  <value>
                                                        [...]
                                                  </value>
                                                </alternativeValue>
                                                [...]
                                        </alternativesValues>
    

maxDistance

Description:

A list of alternatives with computed maximum distances from efficient DMUs.

XMCDA related:

  • Tag: alternativesValues

  • Code:

    <alternativesValues mcdaConcept="maxDistance">
                                                <alternativeValue>
                                                  <alternativeID>[...]</alternativeID>
                                                  <value>
                                                        [...]
                                                  </value>
                                                </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.