DEASMAACCREfficiencies

Provider:PUT
Version:1.0

Description

Computes efficiency scores for the given DMUs (alternatives) using SMAA-D method and CCR Data Envelopment Analysis Model. For given number of buckets and samples, returns a matrix with alternatives in each row and buckets representing efficiency intervals in each column. Single cell indicates how many samples gave efficiency scores of respective alternative in respective bucket.

  • Contact: Malgorzata Napieraj ([email protected])
  • Reference: Cooper W., Seiford L., Tone K., Data Envelopment Analysis: A Comprehensive Text with Models, Applications, References and DEA-Solver (2007).
  • Reference: Lahdelma R., Salminen P., Stochastic multicriteria acceptability analysis using the data envelopment model (2004).

Inputs

(For outputs, see below)

  • inputsOutputs
  • units
  • performanceTable
  • weightsLinearConstraints (optional)
  • methodParameters

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).

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:

“samplesNo” represents the number of samples to generate; “intervalsNo” represents the number of buckets which efficiency scores will be assigned to.

GUI information:

  • Parameter values can be defined via the GUI or the XMCDA file, by default via GUI.
  • Name: samplesNo
    • Constraint description: The value should be a positive integer.
    • Type: integer
    • Default value: 100
  • Name: intervalsNo
    • Constraint description: The value should be a positive integer.
    • Type: integer
    • Default value: 10

XMCDA related:

  • Tag: methodParameters

  • Code:

    <methodParameters>
                                                    <parameter name="samplesNo">
                                                            <value><integer>%1</integer></value>
                                                    </parameter>
                                                    <parameter name="intervalsNo">
                                                            <value><integer>%2</integer></value>
                                                    </parameter>
                                    </methodParameters>

Outputs

  • efficiencyDistribution
  • maxEfficiency
  • minEfficiency
  • avgEfficiency
  • messages

efficiencyDistribution

Description:

A performance table for given alternatives. Single performance consists of attribute criterionID representing certain bucket, and a value representing the ratio of efficiency scores in this bucket.

XMCDA related:

  • Tag: performanceTable

  • Code:

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

maxEfficiency

Description:

A list of alternatives with maximum efficiency scores (obtained for given sample).

XMCDA related:

  • Tag: alternativesValues

  • Code:

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

minEfficiency

Description:

A list of alternatives with computed minimum efficiency scores (obtained for given sample).

XMCDA related:

  • Tag: alternativesValues

  • Code:

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

avgEfficiency

Description:

A list of alternatives with average efficiency scores (obtained for given sample).

XMCDA related:

  • Tag: alternativesValues

  • Code:

    <alternativesValues mcdaConcept="efficiency">
                                            <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.