Allocating fixed costs or resources and setting targets via data envelopment analysis
In many applications of data envelopment analysis (DEA), there is often a fixed cost or input resource which should be imposed on all decision making units ( DMUs). Cook and Zhu [W.D. Cook, J. Zhu, Allocation of shared costs among decision making units: A DEA approach, Computers and Operations Resea...
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description | In many applications of data envelopment analysis (DEA), there is often a fixed cost or input resource which should be imposed on all decision making units (
DMUs). Cook and Zhu [W.D. Cook, J. Zhu, Allocation of shared costs among decision making units: A DEA approach, Computers and Operations Research 32 (2005) 2171–2178] propose a practical DEA approach for such allocation problems. In this paper, we prove that when some special constraints are added, Cook and Zhu’s approach probably has no feasible solution. The research of this paper focuses on two main aspects: to obtain a new fixed costs or resources allocation approach by improving Cook and Zhu’s approach, and to set fixed targets according to the amount of fixed resources shared by individual
DMUs. When such special constraints are attached, our model is proved to be able to achieve a feasible costs or resources allocation. Numerical results for an example from the literature are presented to illustrate our approach. |
doi_str_mv | 10.1016/j.amc.2011.01.008 |
format | Article |
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DMUs). Cook and Zhu [W.D. Cook, J. Zhu, Allocation of shared costs among decision making units: A DEA approach, Computers and Operations Research 32 (2005) 2171–2178] propose a practical DEA approach for such allocation problems. In this paper, we prove that when some special constraints are added, Cook and Zhu’s approach probably has no feasible solution. The research of this paper focuses on two main aspects: to obtain a new fixed costs or resources allocation approach by improving Cook and Zhu’s approach, and to set fixed targets according to the amount of fixed resources shared by individual
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DMUs). Cook and Zhu [W.D. Cook, J. Zhu, Allocation of shared costs among decision making units: A DEA approach, Computers and Operations Research 32 (2005) 2171–2178] propose a practical DEA approach for such allocation problems. In this paper, we prove that when some special constraints are added, Cook and Zhu’s approach probably has no feasible solution. The research of this paper focuses on two main aspects: to obtain a new fixed costs or resources allocation approach by improving Cook and Zhu’s approach, and to set fixed targets according to the amount of fixed resources shared by individual
DMUs. When such special constraints are attached, our model is proved to be able to achieve a feasible costs or resources allocation. Numerical results for an example from the literature are presented to illustrate our approach.</description><subject>Allocations</subject><subject>Computation</subject><subject>Computer simulation</subject><subject>Costs</subject><subject>Data envelopment analysis</subject><subject>Decision making</subject><subject>Efficiency</subject><subject>Exact sciences and technology</subject><subject>Fixed cost allocation</subject><subject>Heating</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Mathematics</subject><subject>Numerical analysis</subject><subject>Numerical analysis. Scientific computation</subject><subject>Operations research</subject><subject>Resource allocation</subject><subject>Sciences and techniques of general use</subject><subject>Target setting</subject><issn>0096-3003</issn><issn>1873-5649</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2011</creationdate><recordtype>article</recordtype><recordid>eNp9kEFr3DAQhUVpodu0P6A3X0pP3sxYtizRUwhNGwj00pzFWB4HLV5rq_Euzb-vtht6LDx4l--9YZ5SHxG2CGiud1vah20DiFsoAvtKbdD2uu5M616rDYAztQbQb9U7kR0A9AbbjXq8mecUaI3LUzXF3zxWIckqVcpVZknHHFgqWsZKeP0LrZSfuACnSNVIK1W8nHhOhz0vawFpfpYo79WbiWbhDy9-pR7vvv68_V4__Ph2f3vzUAfdubW2urNgemzNYBF57Acc0CKTa6jlzpimHXBiTRaHgI4HradhantHXdPDAPpKfb70HnL6dWRZ_T5K4HmmhdNRvDWudx0YW0i8kCEnkcyTP-S4p_zsEfx5Qb_zZUF_XtBDEZwzn17aSQLNU6YlRPkXbLTTuiQL9-XCcXn1FDl7CZGXwGPMHFY_pvifK38AO-6GRQ</recordid><startdate>20110301</startdate><enddate>20110301</enddate><creator>Lin, Ruiyue</creator><general>Elsevier Inc</general><general>Elsevier</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20110301</creationdate><title>Allocating fixed costs or resources and setting targets via data envelopment analysis</title><author>Lin, Ruiyue</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c359t-8358067146b811ed7b1b181ea92a4e56624b1fe3a81bc19eb33fbf479a5270b03</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2011</creationdate><topic>Allocations</topic><topic>Computation</topic><topic>Computer simulation</topic><topic>Costs</topic><topic>Data envelopment analysis</topic><topic>Decision making</topic><topic>Efficiency</topic><topic>Exact sciences and technology</topic><topic>Fixed cost allocation</topic><topic>Heating</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Mathematics</topic><topic>Numerical analysis</topic><topic>Numerical analysis. Scientific computation</topic><topic>Operations research</topic><topic>Resource allocation</topic><topic>Sciences and techniques of general use</topic><topic>Target setting</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Lin, Ruiyue</creatorcontrib><collection>Pascal-Francis</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>Civil Engineering Abstracts</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>Applied mathematics and computation</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Lin, Ruiyue</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Allocating fixed costs or resources and setting targets via data envelopment analysis</atitle><jtitle>Applied mathematics and computation</jtitle><date>2011-03-01</date><risdate>2011</risdate><volume>217</volume><issue>13</issue><spage>6349</spage><epage>6358</epage><pages>6349-6358</pages><issn>0096-3003</issn><eissn>1873-5649</eissn><coden>AMHCBQ</coden><abstract>In many applications of data envelopment analysis (DEA), there is often a fixed cost or input resource which should be imposed on all decision making units (
DMUs). Cook and Zhu [W.D. Cook, J. Zhu, Allocation of shared costs among decision making units: A DEA approach, Computers and Operations Research 32 (2005) 2171–2178] propose a practical DEA approach for such allocation problems. In this paper, we prove that when some special constraints are added, Cook and Zhu’s approach probably has no feasible solution. The research of this paper focuses on two main aspects: to obtain a new fixed costs or resources allocation approach by improving Cook and Zhu’s approach, and to set fixed targets according to the amount of fixed resources shared by individual
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subjects | Allocations Computation Computer simulation Costs Data envelopment analysis Decision making Efficiency Exact sciences and technology Fixed cost allocation Heating Mathematical analysis Mathematical models Mathematics Numerical analysis Numerical analysis. Scientific computation Operations research Resource allocation Sciences and techniques of general use Target setting |
title | Allocating fixed costs or resources and setting targets via data envelopment analysis |
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