Cost efficiency measures in data envelopment analysis with data uncertainty
This paper extends the classical cost efficiency (CE) models to include data uncertainty. We believe that many research situations are best described by the intermediate case, where some uncertain input and output data are available. In such cases, the classical cost efficiency models cannot be used...
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Veröffentlicht in: | European journal of operational research 2010-04, Vol.202 (2), p.595-603 |
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description | This paper extends the classical cost efficiency (CE) models to include data uncertainty. We believe that many research situations are best described by the intermediate case, where some uncertain input and output data are available. In such cases, the classical cost efficiency models cannot be used, because input and output data appear in the form of ranges. When the data are imprecise in the form of ranges, the cost efficiency measure calculated from the data should be uncertain as well. So, in the current paper, we develop a method for the estimation of upper and lower bounds for the cost efficiency measure in situations of uncertain input and output data. Also, we develop the theory of efficiency measurement so as to accommodate incomplete price information by deriving upper and lower bounds for the cost efficiency measure. The practical application of these bounds is illustrated by a numerical example. |
doi_str_mv | 10.1016/j.ejor.2009.06.007 |
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We believe that many research situations are best described by the intermediate case, where some uncertain input and output data are available. In such cases, the classical cost efficiency models cannot be used, because input and output data appear in the form of ranges. When the data are imprecise in the form of ranges, the cost efficiency measure calculated from the data should be uncertain as well. So, in the current paper, we develop a method for the estimation of upper and lower bounds for the cost efficiency measure in situations of uncertain input and output data. Also, we develop the theory of efficiency measurement so as to accommodate incomplete price information by deriving upper and lower bounds for the cost efficiency measure. The practical application of these bounds is illustrated by a numerical example.</description><subject>Cost efficiency</subject><subject>Data envelopment analysis</subject><subject>DEA</subject><subject>DEA Cost efficiency Uncertain data Range data Imprecise data Two-level mathematical programming Extreme point DMU</subject><subject>DMU</subject><subject>Efficiency</subject><subject>Estimating techniques</subject><subject>Exact sciences and technology</subject><subject>Extreme point</subject><subject>Imprecise data</subject><subject>Input output</subject><subject>Mathematics</subject><subject>Nonparametric inference</subject><subject>Probability and statistics</subject><subject>Range data</subject><subject>Sciences and techniques of general use</subject><subject>Statistics</subject><subject>Studies</subject><subject>Two-level mathematical programming</subject><subject>Uncertain data</subject><subject>Uncertainty</subject><issn>0377-2217</issn><issn>1872-6860</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2010</creationdate><recordtype>article</recordtype><sourceid>X2L</sourceid><recordid>eNp9kUGL2zAQhUXZQrPb_QM9mcIe7Y4kS7KhlyV0d0sCvXTPQpbHRCaxXUlJ8b-vEoccKxjNgL73GJ4I-UKhoEDlt77AfvQFA6gLkAWA-kBWtFIsl5WEO7ICrlTOGFWfyH0IPQBQQcWKbNZjiBl2nbMOBztnBzTh6DFkbshaE02Gwwn343TAIWZmMPs5uJD9dXG3PB8Hiz4aN8T5M_nYmX3Ax2t_IO8vP36v3_Ltr9ef6-dtbkshYy5aLJUFxSxTXdVUNQWhRIO85qJlsqWSV7SpypazpmNNLZQqpQBjOBVt1Un-QL4uvpMf_xwxRN2PR59WC5pBSRNMaYLYAlk_huCx05N3B-NnTUGfM9O9Pmemz5lpkDpllkSbReRxQntTYDoJxaBPmhsGLN3zZUpe3LjzmGpKJWqhJXC9i4fk9nTd0wRr9p03g3Xh5sqYgFJynrjvC4cptJNDr8PlM7B1Hm3U7ej-t_Q_fWKayQ</recordid><startdate>20100416</startdate><enddate>20100416</enddate><creator>Mostafaee, A.</creator><creator>Saljooghi, F.H.</creator><general>Elsevier B.V</general><general>Elsevier</general><general>Elsevier Sequoia S.A</general><scope>IQODW</scope><scope>DKI</scope><scope>X2L</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20100416</creationdate><title>Cost efficiency measures in data envelopment analysis with data uncertainty</title><author>Mostafaee, A. ; Saljooghi, F.H.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c456t-5de47c072c27f8b8910575be3935d26d16381b84d32bf2b95774650aa315d8f63</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2010</creationdate><topic>Cost efficiency</topic><topic>Data envelopment analysis</topic><topic>DEA</topic><topic>DEA Cost efficiency Uncertain data Range data Imprecise data Two-level mathematical programming Extreme point DMU</topic><topic>DMU</topic><topic>Efficiency</topic><topic>Estimating techniques</topic><topic>Exact sciences and technology</topic><topic>Extreme point</topic><topic>Imprecise data</topic><topic>Input output</topic><topic>Mathematics</topic><topic>Nonparametric inference</topic><topic>Probability and statistics</topic><topic>Range data</topic><topic>Sciences and techniques of general use</topic><topic>Statistics</topic><topic>Studies</topic><topic>Two-level mathematical programming</topic><topic>Uncertain data</topic><topic>Uncertainty</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Mostafaee, A.</creatorcontrib><creatorcontrib>Saljooghi, F.H.</creatorcontrib><collection>Pascal-Francis</collection><collection>RePEc IDEAS</collection><collection>RePEc</collection><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>European journal of operational research</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Mostafaee, A.</au><au>Saljooghi, F.H.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Cost efficiency measures in data envelopment analysis with data uncertainty</atitle><jtitle>European journal of operational research</jtitle><date>2010-04-16</date><risdate>2010</risdate><volume>202</volume><issue>2</issue><spage>595</spage><epage>603</epage><pages>595-603</pages><issn>0377-2217</issn><eissn>1872-6860</eissn><coden>EJORDT</coden><abstract>This paper extends the classical cost efficiency (CE) models to include data uncertainty. We believe that many research situations are best described by the intermediate case, where some uncertain input and output data are available. In such cases, the classical cost efficiency models cannot be used, because input and output data appear in the form of ranges. When the data are imprecise in the form of ranges, the cost efficiency measure calculated from the data should be uncertain as well. So, in the current paper, we develop a method for the estimation of upper and lower bounds for the cost efficiency measure in situations of uncertain input and output data. Also, we develop the theory of efficiency measurement so as to accommodate incomplete price information by deriving upper and lower bounds for the cost efficiency measure. The practical application of these bounds is illustrated by a numerical example.</abstract><cop>Amsterdam</cop><pub>Elsevier B.V</pub><doi>10.1016/j.ejor.2009.06.007</doi><tpages>9</tpages></addata></record> |
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subjects | Cost efficiency Data envelopment analysis DEA DEA Cost efficiency Uncertain data Range data Imprecise data Two-level mathematical programming Extreme point DMU DMU Efficiency Estimating techniques Exact sciences and technology Extreme point Imprecise data Input output Mathematics Nonparametric inference Probability and statistics Range data Sciences and techniques of general use Statistics Studies Two-level mathematical programming Uncertain data Uncertainty |
title | Cost efficiency measures in data envelopment analysis with data uncertainty |
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