ImpreciseDEA-CCR-SMAA_efficiencies

Provider:PUT
Version:1.0

Description

Computes efficiency scores for the given DMUs (alternatives) using SMAA-D method and CCR Data Envelopment Analysis Model qith imprecise data. 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.

Inputs

(For outputs, see below)

units

Description:

A list of alternatives (DMUs).

inputs/outputs

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).

XMCDA related:

  • Tag: criteria

  • Code:

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

performance

Description:

A list of alternatives (DMUs) performances.

XMCDA related:

  • Tag: performanceTable

  • Code:

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

max performance

Optional: yes, enabled by default

Description:

A list of maximal alternatives (DMUs) performances.

XMCDA related:

  • Tag: performanceTable

  • Code:

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

weights constraints

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>
    

method parameters

Description:

“samplesNb” 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: number of samples
    • Constraint description: The value should be a positive integer.
    • Type: integer
    • Default value: 100
  • Name: number of buckets
    • Constraint description: The value should be a positive integer.
    • Type: integer
    • Default value: 10
  • Name: tolerance
    • Constraint description: The value should be a non-negative number.
    • Type: float
    • Default value: 0.0

XMCDA related:

  • Tag: methodParameters

  • Code:

    <methodParameters>
        <parameter id="samplesNb">
            <value><integer>%1</integer></value>
        </parameter>
        <parameter id="intervalsNb">
            <value><integer>%2</integer></value>
        </parameter>
        <parameter id="tolerance">
            <value><real>%3</real></value>
        </parameter>
    </methodParameters>
    

Outputs

efficiency distribution

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>
    

max efficiency

Description:

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

XMCDA related:

  • Tag: alternativesValues

  • Code:

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

min efficiency

Description:

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

XMCDA related:

  • Tag: alternativesValues

  • Code:

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

average efficiency

Description:

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

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.