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Integrating DEA and Group AHP for Efficiency Evaluation and Identification of Most Efficient DMU
<!DOCTYPE html> <!--[if IE 8]> <html class="ie ie8"> <![endif]--> <!--[if IE 9]> <html class="ie ie9"> <![endif]--> <!--[if gt IE 9]><!--> <html> <!--<![endif]--> <head> <meta charset="utf-8" /> <title>Integrating DEA and Group AHP for Efficiency Evaluation and Identification of Most Efficient DMU</title> <!-- favicon --> <link rel="shortcut icon" type="image/ico" href="./data/ijsom/coversheet/favicon.ico" /> <!-- mobile settings --> <meta name="viewport" content="width=device-width, maximum-scale=1, initial-scale=1, user-scalable=0" /> <!--[if IE]><meta http-equiv='X-UA-Compatible' content='IE=edge,chrome=1'><![endif]--> <!-- user defined metatags --> <meta name="keywords" content="DEA,Group AHP,Common weights,Efficiency evaluation,Most efficient DMU" /> <meta name="description" content="Selection problems which contain many criteria are important and complex problems and different approaches have been proposed to fulfill this job. The Analytic Hierarchy Process (AHP) can be very useful in reaching a likely result which can satisfy the subjective opinion of a decision maker. On the other hand, the Data Envelopment Analysis (DEA) has been a popular method for measuring relative efficiency of decision making units (DMUs) and ranking them objectively with the quantitative data. In this paper, a Three-step procedure based on both DEA and AHP is formulated and applied to a case study. The procedure maintains the philosophy inherent in DEA by allowing each DMU to generate its own vector of weights. These vectors of weights are used to construct a group of pairwise comparison matrices which are perfectly consistent. Then, we utilize group AHP method to produce the best common weights which are compatible with the DMUs judgments. Using the proposed approach can give precise evaluation, combining the subjective opinion with the objective data of the relevant factors. The applicability of the proposed integrated model is illustrated using a real data set of a case study, which consists of 19 facility layout alternatives" /> <meta name="title" content="Integrating DEA and Group AHP for Efficiency Evaluation and Identification of Most Efficient DMU" /> <meta name="googlebot" content="NOODP" /> <meta name="citation_title" content="Integrating DEA and Group AHP for Efficiency Evaluation and Identification of Most Efficient DMU" /> <meta name="citation_author" content="Amini, Amir" /> <meta name="citation_author_institution" content="Department of industrial engineering, Urmia university of technology, Urmia, Iran" /> <meta name="citation_author" content="Alinezhad, Alireza" /> <meta name="citation_author_institution" content="Faculty of Industrial and Mechanical Engineering, Qazvin branch, Islamic Azad University, Qazvin, Iran" /> <meta name="citation_abstract" content="Selection problems which contain many criteria are important and complex problems and different approaches have been proposed to fulfill this job. The Analytic Hierarchy Process (AHP) can be very useful in reaching a likely result which can satisfy the subjective opinion of a decision maker. On the other hand, the Data Envelopment Analysis (DEA) has been a popular method for measuring relative efficiency of decision making units (DMUs) and ranking them objectively with the quantitative data. In this paper, a Three-step procedure based on both DEA and AHP is formulated and applied to a case study. The procedure maintains the philosophy inherent in DEA by allowing each DMU to generate its own vector of weights. These vectors of weights are used to construct a group of pairwise comparison matrices which are perfectly consistent. Then, we utilize group AHP method to produce the best common weights which are compatible with the DMUs judgments. Using the proposed approach can give precise evaluation, combining the subjective opinion with the objective data of the relevant factors. The applicability of the proposed integrated model is illustrated using a real data set of a case study, which consists of 19 facility layout alternatives" /> <meta name="citation_id" content="2747" /> <meta name="citation_publication_date" content="2017/11/01" /> <meta name="citation_date" content="2017-11-01" /> <meta name="citation_journal_title" content="International Journal of Supply and Operations Management" /> <meta name="citation_issn" content="23831359" /> <meta name="citation_volume" content="4" /> <meta name="citation_issue" content="4" /> <meta name="citation_firstpage" content="318" /> <meta name="citation_lastpage" content="327" /> <meta name="citation_publisher" content="Kharazmi University" /> <meta name="citation_doi" content="10.22034/2017.4.03" /> <meta name="DC.Identifier" content="10.22034/2017.4.03" /> <meta name="citation_abstract_html_url" content="http://www.ijsom.com/article_2747.html" /> <meta name="citation_pdf_url" content="http://www.ijsom.com/article_2747_7907a2dc154506ac5b65cf04aa347bf5.pdf" /> <meta name="DC.Title" content="Integrating DEA and Group AHP for Efficiency Evaluation and Identification of Most Efficient DMU" /> <meta name="DC.Source" content="International Journal of Supply and Operations Management" /> <meta name="DC.Date" content="01/11/2017" /> <meta name="DC.Date.issued" content="2017-11-01" /> <meta name="DC.Format" content="application/pdf" /> <meta name="DC.Contributor" content="Amini, Amir" /> <meta name="DC.Contributor" content="Alinezhad, Alireza" /> <meta name="og:title" content="Integrating DEA and Group AHP for Efficiency Evaluation and Identification of Most Efficient DMU" /> <meta name="og:description" content="Selection problems which contain many criteria are important and complex problems and different approaches have been proposed to fulfill this job. The Analytic Hierarchy Process (AHP) can be very useful in reaching a likely result which can satisfy the subjective opinion of a decision maker. On the other hand, the Data Envelopment Analysis (DEA) has been a popular method for measuring relative efficiency of decision making units (DMUs) and ranking them objectively with the quantitative data. In this paper, a Three-step procedure based on both DEA and AHP is formulated and applied to a case study. The procedure maintains the philosophy inherent in DEA by allowing each DMU to generate its own vector of weights. These vectors of weights are used to construct a group of pairwise comparison matrices which are perfectly consistent. Then, we utilize group AHP method to produce the best common weights which are compatible with the DMUs judgments. Using the proposed approach can give precise evaluation, combining the subjective opinion with the objective data of the relevant factors. 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<h1 class="margin-bottom-20 size-18 ltr"><span class="article_title bold"> Integrating DEA and Group AHP for Efficiency Evaluation and Identification of Most Efficient DMU</span></h1> <div> <div class="margin-bottom-3"> </div> <p class="margin-bottom-3">Document Type : Research Paper</p> <p class="padding-0" style="margin:12px -2px 0 -2px"><strong>Authors</strong></p> <ul class="list-inline list-inline-seprator margin-bottom-6 ltr"> <li class="padding-3"> <a href="./?_action=article&au=115928&_au=Amir++Amini">Amir Amini</a> <sup><a href="mailto:mr62.amini@gmail.com" data-toggle="tooltip" data-placement="bottom" title="Email to Corresponding Author"><i class="fa fa-envelope-o" ></i></a></sup> <sup><a href="#aff1" >1</a></sup> </li> <li class="padding-3"> <a href="./?_action=article&au=115933&_au=Alireza++Alinezhad">Alireza Alinezhad</a> <sup><a href="#aff2" >2</a></sup> </li> </ul> <p class="margin-bottom-3 ltr" id="aff1"> <sup>1</sup> Department of industrial engineering, Urmia university of technology, Urmia, Iran </p> <p class="margin-bottom-3 ltr" id="aff2"> <sup>2</sup> Faculty of Industrial and Mechanical Engineering, Qazvin branch, Islamic Azad University, Qazvin, Iran </p> <div class="margin-bottom-3 ltr" id="ar_doi" title="DOI"><i class="ai ai-doi size-25 text-orange"></i> <span dir="ltr"><a href="https://dx.doi.org/10.22034/2017.4.03">10.22034/2017.4.03</a></span></div> <p style="margin:12px -2px 0 -2px"><strong>Abstract</strong></p> <div class="padding_abstract justify ltr">Selection problems which contain many criteria are important and complex problems and different approaches have been proposed to fulfill this job. The Analytic Hierarchy Process (AHP) can be very useful in reaching a likely result which can satisfy the subjective opinion of a decision maker. On the other hand, the Data Envelopment Analysis (DEA) has been a popular method for measuring relative efficiency of decision making units (DMUs) and ranking them objectively with the quantitative data. In this paper, a Three-step procedure based on both DEA and AHP is formulated and applied to a case study. The procedure maintains the philosophy inherent in DEA by allowing each DMU to generate its own vector of weights. These vectors of weights are used to construct a group of pairwise comparison matrices which are perfectly consistent. Then, we utilize group AHP method to produce the best common weights which are compatible with the DMUs judgments. Using the proposed approach can give precise evaluation, combining the subjective opinion with the objective data of the relevant factors. The applicability of the proposed integrated model is illustrated using a real data set of a case study, which consists of 19 facility layout alternatives</div> <p class="padding-0" style="margin:12px -2px 0 -2px"><strong>Keywords</strong></p> <ul class="block list-inline list-inline-seprator margin-bottom-6 ltr"> <li class="padding-3"> <a class="tag_a" href="./?_action=article&kw=101593&_kw=DEA" >DEA</a> </li> <li class="padding-3"> <a class="tag_a" href="./?_action=article&kw=105859&_kw=Group+AHP" >Group AHP</a> </li> <li class="padding-3"> <a class="tag_a" href="./?_action=article&kw=105539&_kw=Common+weights" >Common weights</a> </li> <li class="padding-3"> <a class="tag_a" href="./?_action=article&kw=105860&_kw=Efficiency+evaluation" >Efficiency evaluation</a> </li> <li class="padding-3"> <a class="tag_a" href="./?_action=article&kw=105861&_kw=Most+efficient+DMU" >Most efficient DMU</a> </li> </ul> <p class="padding-0" style="margin:12px -2px 0 -2px"><strong>Main Subjects</strong></p> <ul class="block list-inline list-inline-seprator margin-bottom-6"> <li class="padding-3"> <a href="./?_action=article&sb=152&_sb=optimization+in+supply+chain+management" >optimization in supply chain management</a> </li> </ul> </div> <hr> <div class="page_break"></div> <div class="panel"> <div class="panel-heading card-header"> <h4 class="panel-title "> <a data-toggle="collapse" data-parent="#accordions" href="#collapsesRef"><i class="fa fa-plus"></i> References</a> </h4> </div> <div id="collapsesRef" class="panel-collapse collapse"> <div class="panel-body justify"> <div class="padding-3 margin-top-3 ltr justify">Alonso, S., Pérez, I. J., Cabrerizo, F. J. and Herrera-Viedma, E. (2013). A linguistic consensus model for Web 2.0 communities. <em>Applied Soft Computing</em>, Vol. 13, pp. 149-157. </div> <div class="padding-3 margin-top-3 ltr justify">Altuzarra, A., Moreno-Jimenez, J. M. and Salvador, M. (2010). Consensus Building in AHP-Group Decision Making: A Bayesian Approach, <em>Operations Research</em>, Vol. 58, pp. 1755-1773. </div> <div class="padding-3 margin-top-3 ltr justify">Amini, A., Alinezhad, A. and Salmanian, S. (2016). Development of Data Envelopment Analysis for the Performance Evaluation of Green Supply Chain with Undesirable Outputs, <em>International Journal of Supply and Operations Management</em>, Vol. 3(2), pp. 1267-1283. </div> <div class="padding-3 margin-top-3 ltr justify">Azadeh A., Ghaderi S. F. and Izadbakhsh, H. (2008). Integration of DEA and AHP with computer simulation for railway system improvement and optimization, <em>Applied Mathematics and Computation</em>, Vol. 195(2), pp. 755-785. </div> <div class="padding-3 margin-top-3 ltr justify">Azadi, M., Jafarian, M., Farzipoor Saen, R. and Mirhedayatian, S.M. (2015). A new fuzzy DEA model for evaluation of efficiency and effectiveness of suppliers in sustainable supply chain management context, <em>Computers & Operations Research</em>, Vol. 54, pp. 274–285. </div> <div class="padding-3 margin-top-3 ltr justify">Blagojevic, B., Srdjevic, B., Srdjevic, Z. and Zoranovic, T. (2015). Heuristic aggregation of individual judgments in AHP group decision making using simulated annealing algorithm, <em>Information Sciences</em> (Article in press). </div> <div class="padding-3 margin-top-3 ltr justify">Bolloju, N. (2001). Aggregation of analytic hierarchy process models based on similarities in decision makers’ preferences, <em>European Journal of Operational Research</em>, Vol. 128, pp. 499-508. </div> <div class="padding-3 margin-top-3 ltr justify">Brock, H. W. (1980). The Problem of" Utility Weights" in Group Preference Aggregation, <em>Operations Research</em>, Vol. 28, pp. 176-187. </div> <div class="padding-3 margin-top-3 ltr justify">Cabrerizo, F. J., Moreno, J. M., Perez, I. J. and Herrera-Viedma, E. (2010). Analyzing consensus approaches in fuzzy group decision making: advantages and drawbacks, <em>Soft Computing</em>, Vol. 14, pp. 451-463. </div> <div class="padding-3 margin-top-3 ltr justify">Charnes A., Cooper W.W. and Rhodes E. (1978). Measuring the efficiency of decision making units, <em>European Journal of Operational Research</em>, Vol. 2, pp. 429-444. </div> <div class="padding-3 margin-top-3 ltr justify">Chiclana, F., Herrera, F. and Herrera-Viedma, E. (2001). Integrating multiplicative preference relations in a multipurpose decision-making model based on fuzzy preference relations, <em>Fuzzy Sets and Systems</em>, Vol. 122, pp. 277-291. </div> <div class="padding-3 margin-top-3 ltr justify">Contreras I. (2011). A DEA-inspired procedure for the aggregation of preferences, <em>Expert Systems with Applications</em>, Vol. 38, pp. 564-570. </div> <div class="padding-3 margin-top-3 ltr justify">Dobos, I. and Vörösmarty, G. (2018). Inventory-related costs in green supplier selection problems with Data Envelopment Analysis (DEA), <em>International Journal of Production Economics</em> (Article in press). </div> <div class="padding-3 margin-top-3 ltr justify">Dong, Q. and Cooper, O. (2015). A peer-to-peer dynamic adaptive consensus reaching model for the group AHP decision making, <em>European Journal of Operational Research</em> (Article in press). </div> <div class="padding-3 margin-top-3 ltr justify">Dyer, R. F. and Forman, E. H. (1992). Group decision support with the Analytic Hierarchy Process, <em>Decision Support Systems</em>, Vol. 8, pp. 99-124. </div> <div class="padding-3 margin-top-3 ltr justify">Ertay T., Ruan D. and Tuzkaya U. R. (2006). Integrating data envelopment analysis and analytic hierarchy for the facility layout design in manufacturing systems, <em>Information Sciences</em>, Vol. 176, pp. 237–262. </div> <div class="padding-3 margin-top-3 ltr justify">Forman, E. and Peniwati, K. (1998). Aggregating individual judgments and priorities with the analytic hierarchy process, <em>European Journal of Operational Research</em>, Vol. 108, pp. 165-169. </div> <div class="padding-3 margin-top-3 ltr justify">Greco, S., Kadzi艅ski, M., Mousseau, V. and S艂owi艅ski, R. (2012). Robust ordinal regression for multiple criteria group decision: UTAGMS-GROUP and UTADISGMS-GROUP, <em>Decision Support Systems</em>, Vol. 52, pp. 549-561. </div> <div class="padding-3 margin-top-3 ltr justify">HakimiAsl, M., Sadegh Amalnicka, M., Zorriassatineb, F. and HakimiAsl, A. (2016). Green Supplier Evaluation by Using an Integrated Fuzzy AHP- VIKOR Approach, <em>International Journal of Supply and Operations Management</em>, Vol. 3(2), pp. 1284-1300. </div> <div class="padding-3 margin-top-3 ltr justify">Herrera, F., Herrera-Viedma, E. and Verdegay, J. L. (1995). A sequential selection process in group decision making with a linguistic assessment approach, <em>Information Sciences</em>, Vol. 85, pp. 223-239. </div> <div class="padding-3 margin-top-3 ltr justify">Herrera, F., Herrera-Viedma, E. and verdegay, J. L. (1996). A model of consensus in group decision making under linguistic assessments, <em>Fuzzy Sets and Systems</em>, Vol. 78, pp. 73-87. </div> <div class="padding-3 margin-top-3 ltr justify">Ho, W. and Ma, X. (2017). The state-of-the-art integrations and applications of the analytic hierarchy process, <em>European Journal of Operational Research</em> (Article in press). </div> <div class="padding-3 margin-top-3 ltr justify">Ho, W. (2008). Integrated analytic hierarchy process and its applications – A literature review, <em>European. Journal of. Operational. Research.</em> Vol. 186, pp. 211–228. </div> <div class="padding-3 margin-top-3 ltr justify">Huang, Y.-S., Chang, W.-C., Li, W.-H. and Lin, Z.-L. (2013). Aggregation of utility-based individual preferences for group decision-making, <em>European Journal of Operational Research,</em> Vol. 229, pp. 462-469. </div> <div class="padding-3 margin-top-3 ltr justify">Keeney, R. L. and Kirkwood, C. W. (1975). Group Decision Making Using Cardinal Social Welfare Functions, <em>Management Science</em>, Vol. 22, pp. 430-437. </div> <div class="padding-3 margin-top-3 ltr justify">Li, X., Liu, Y., Wang, Y. and Gao, Z. (2016). Evaluating transit operator ef铿乧iency: An enhanced DEA model with constrained fuzzy-AHP cones, <em>Journal of traf铿乧 and transportation engineering</em>, Vol. 3(3), pp. 215-225. </div> <div class="padding-3 margin-top-3 ltr justify">Shang J. and Sueyoshi T. (1995). A Unified Framework for the Selection of a Flexible Manufacturing System, <em>European Journal of Operational Research</em>, Vol. 85(2), pp. 297-315. </div> <div class="padding-3 margin-top-3 ltr justify">Sinuany-Stern Z., Mehrez A. and Hadad Y. (2000). An AHP/DEA methodology for ranking decision making units, <em>International Transactions in Operational Research</em>, Vol. 7, pp. 109-124. </div> <div class="padding-3 margin-top-3 ltr justify">Ramanathan, R. & Ganesh, L.S. (1994). Group preference aggregation methods employed in AHP: An evaluation and an intrinsic process for deriving members’ weight ages, <em>Eur. J. Oper. Res.</em>, Vol. 79, pp. 249–265. </div> <div class="padding-3 margin-top-3 ltr justify">Saaty T.L. (1980). <em>The Analytic Hierarchy Process</em>, McGraw-Hill: New York. </div> <div class="padding-3 margin-top-3 ltr justify">Saaty, T. L. (1994). <em>Fundamentals of decision making and Priority Theory with The Analytic Hierarchy Process</em>, RWS Publications, Pittsburgh. </div> <div class="padding-3 margin-top-3 ltr justify">Saaty, T. L. (1977). A scaling method for priorities in hierarchical structures, <em>Journal of Mathematical Psychology</em>, Vol. 15, pp. 234-281. </div> <div class="padding-3 margin-top-3 ltr justify">Tanino, T. (1984). Fuzzy preference orderings in group decision making, <em>Fuzzy Sets and Systems,</em> Vol. 12, pp. 117-131. </div> <div class="padding-3 margin-top-3 ltr justify">Tseng F., Chiu Y. and Chen J. (2009). Measuring business performance in the high-tech manufacturing industry: A case study of Taiwan’s large-sized TFT-LCD panel companies, <em>Omega</em>, Vol. 37(3), pp. 686-697. </div> <div class="padding-3 margin-top-3 ltr justify">Van Den Honert, R. C. and Lootsma, F. A. (1997). Group preference aggregation in the multiplicative AHP The model of the group decision process and Pareto optimality, <em>European Journal of Operational Research,</em> Vol. 96, pp. 363-370. </div> <div class="padding-3 margin-top-3 ltr justify">Van den Honert, R. C. (2001). Decisional power in group decision making: A note on the allocation of group members' weights in the multiplicative AHP and SMART. Group Decision and Negotiation 10, 275-286. <em>Information Sciences,</em> Vol. 181, pp. 150-162. </div> <div class="padding-3 margin-top-3 ltr justify">Wang , C. N., Nguyen, X. T. and Nguyen, X. H. (2015). Strategic Alliance Decision-making for the Auto Industry base on an Integrate DEA and GM (1,1) Approach, <em>International Journal of Supply and Operations Management</em>, Vol. 2, No. 3, pp. 856-870. </div> <div class="padding-3 margin-top-3 ltr justify">Wang Y., Liu J. and Elhag T. (2008). An integrated AHP–DEA methodology for bridge risk assessment, <em>Computers and Industrial Engineering</em>, Vol. 54(3), pp. 513-525. </div> <div class="padding-3 margin-top-3 ltr justify">Wu, Z. and Xu, J. (2012). Consensus reaching models of linguistic preference relations based on distance functions. <em>Soft Computing</em>, Vol. 16, pp. 577-589. </div> <div class="padding-3 margin-top-3 ltr justify">Xu, Z. (2009). An automatic approach to reaching consensus in multiple attribute group decision making, <em>Computers & Industrial Engineering</em>, Vol. 56, pp. 1369-1374. </div> <div class="padding-3 margin-top-3 ltr justify">Xu, Z. and Cai, X. (2011). Group consensus algorithms based on preference relations. <em>Information Sciences, </em>Vol. 181, pp. 150-162. </div> <div class="padding-3 margin-top-3 ltr justify">Xu, Y., Li, K. W. and Wang, H. (2013). Distance-based consensus models for fuzzy and multiplicative preference relations, <em>Information Sciences, </em>Vol. 253, pp. 56-73. </div> <div class="padding-3 margin-top-3 ltr justify">Yang T. and Kuo C.A. (2003). A hierarchical AHP/DEA methodology for the facilities layout design problem, <em>European Journal of Operational Research</em>, Vol. 147, pp. 128–136. </div> <div class="padding-3 margin-top-3 ltr justify">Yousefi A. and Hadi-Vencheh A. (2010). An integrated group decision making model and its evaluation by DEA for DEA for automobile industry<em>, Expert Systems with Applications</em>, Vol. 37(12), pp. 8543-8556.</div> </div> </div> </div> </div> </div> <!-- /CENTER --> <!-- LEFT --> <div class="col-lg-3 col-md-3 col-sm-4"> <div class="panel panel-default my_panel-default margin-bottom-10"> <div class="panel-body ar_info_pnl" id="ar_info_pnl_cover"> <div id="pnl_cover"> <div class="row" > <div class="col-xs-6 col-md-6 nomargin-bottom"> <a href="javascript:loadModal('International Journal of Supply and Operations Management', './data/ijsom/coversheet/cover_en.jpg')"> <img src="data/ijsom/coversheet/cover_en.jpg" alt="International Journal of Supply and Operations Management" style="width: 100%;"> </a> </div> <div class="col-xs-6 col-md-6 nomargin-bottom"> <h6><a href="./issue_506_510.html">Volume 4, Issue 4 - Serial Number 4</a><br/>November 2017<div id="sp_ar_pages">Pages <span dir="ltr">318-327</span></div></h6> </div> 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href="#ar_info_pnl_st"><i class="fa fa-bar-chart" aria-hidden="true"></i> Statistics</a></h3> </div> <div id="ar_info_pnl_st" class="panel-collapse collapse in"> <div class="panel-body ar_info_pnl"> <ul class="list-group list-group-bordered list-group-noicon" style="display:block !important;max-height:9999px"> <li class="list-group-item"><a class="tag_a">Article View: <i>2,630</i></a></li> <li class="list-group-item"><a class="tag_a">PDF Download: <i>1,182</i></a></li> </ul> </div> </div> </div> </div> <!-- /LEFT --> </div> </section> <div id="cite-apa" class="modal fade" tabindex="-1" role="dialog" aria-labelledby="myModalLabel" aria-hidden="true"> <div class="modal-dialog"> <div class="modal-content"> <!-- Modal Header --> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">APA</h4> </div> <!-- Modal Body --> <div class="modal-body"> <p>Amini, A., & Alinezhad, A. (2017). Integrating DEA and Group AHP for Efficiency Evaluation and Identification of Most Efficient DMU. <em>International Journal of Supply and Operations Management</em>, 4(4), 318-327. doi: 10.22034/2017.4.03</p> </div> </div> </div> </div> <div id="cite-mla" class="modal fade" tabindex="-1" role="dialog" aria-labelledby="myModalLabel" aria-hidden="true"> <div class="modal-dialog"> <div class="modal-content"> <!-- Modal Header --> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">MLA</h4> </div> <!-- Modal Body --> <div class="modal-body"> <p>Amir Amini; Alireza Alinezhad. "Integrating DEA and Group AHP for Efficiency Evaluation and Identification of Most Efficient DMU". <em>International Journal of Supply and Operations Management</em>, 4, 4, 2017, 318-327. doi: 10.22034/2017.4.03</p> </div> </div> </div> </div> <div id="cite-harvard" class="modal fade" tabindex="-1" role="dialog" aria-labelledby="myModalLabel" aria-hidden="true"> <div class="modal-dialog"> <div class="modal-content"> <!-- Modal Header --> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">HARVARD</h4> </div> <!-- Modal Body --> <div class="modal-body"> <p>Amini, A., Alinezhad, A. (2017). 'Integrating DEA and Group AHP for Efficiency Evaluation and Identification of Most Efficient DMU', <em>International Journal of Supply and Operations Management</em>, 4(4), pp. 318-327. doi: 10.22034/2017.4.03</p> </div> </div> </div> </div> <div id="cite-vancouver" class="modal fade" tabindex="-1" role="dialog" aria-labelledby="myModalLabel" aria-hidden="true"> <div class="modal-dialog"> <div class="modal-content"> <!-- Modal Header --> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">VANCOUVER</h4> </div> <!-- Modal Body --> <div class="modal-body"> <p>Amini, A., Alinezhad, A. Integrating DEA and Group AHP for Efficiency Evaluation and Identification of Most Efficient DMU. <em>International Journal of Supply and Operations Management</em>, 2017; 4(4): 318-327. doi: 10.22034/2017.4.03</p> </div> </div> </div> </div> </div> </div> <!-- /MAIN CONTENT --> <!-- Subscribe --> <section class="alternate padding-xxs"> </section> <!-- /Subscribe --> <!-- FOOTER --> <div class="container"> <footer id="footer"> <div class="scrollup" id="scroll" href="#"><span></span></div> <div class="row"> <div class="col-md-2"> <!-- Links --> <h4 class="">Explore Journal</h4> <ul class="footer-links list-unstyled"> <li id="fli_home"><a href="./">Home</a></li> <li id="fli_about"><a href="./journal/about">About Journal</a></li> <li id="fli_Edb"><a href="./journal/editorial.board">Editorial Board</a></li> <li id="fli_submit"><a href="./author">Submit Manuscript</a></li> <li id="fli_contactus"><a href="./journal/contact.us">Contact Us</a></li> <li id="fli_glossary"><a href="./journal/glossary">Glossary</a></li> <li id="fli_order_hrdj"><a href="./journal/subscription.form">Hard Copy Subscription</a></li> <li id="fli_sitemap"><a href="./sitemap.xml?usr">Sitemap</a></li> </ul> <!-- /Links --> </div> <div class="col-md-3"> <!-- Latest News --> <h4 class="">Latest News</h4> <ul class="footer-posts list-unstyled"> <li> <a href="./news?newsCode=173">SD of ISC: Sustainable Development of Intelligent Supply Chains based on Trends and Future Directions: Application of Novel Solution Techniques</a> <small class="ltr">2023-03-05</small> </li> </ul> <!-- /Latest News --> </div> <div class="col-md-3"> <!-- Footer Note --> <div><p><a title="Linkedin" href="http://www.linkedin.com/company/ijsom?trk=eml-cp_mktg-btn-welcome-20120607%2F"><img src="images/linkedin.jpg" alt="linkedin" /></a></p></div> <!-- /Footer Note --> </div> <div class="col-md-4"> <!-- Newsletter Form --> <h4 class="">Newsletter Subscription</h4> <p>Subscribe to the journal newsletter and receive the latest news and updates</p> <form class="validate" action="" method="post" data-success="Subscription saved successfully." data-toastr-position="bottom-right"> <input type="hidden" name="_token" value="5fc5862fb32307e71ba8fb9a012474346cf88e72ed644cab"/> <div class="input-group"> <span class="input-group-addon"><i class="fa fa-envelope"></i></span> <input type="email" id="email" name="email" required="required" class="form-control required sbs_email" placeholder="Enter your Email" oninvalid="this.setCustomValidity('Enter a valid email address.')" oninput="this.setCustomValidity('')"> <span class="input-group-btn"> <button class="btn btn-primary mybtn" type="submit">Subscribe</button> </span> </div> </form> <!-- /Newsletter Form --> <!-- Social Icons --> <div class="margin-top-20"> <a class="noborder" href="" target="_blank" class="social-icon social-icon-border social-facebook pull-left block" data-toggle="tooltip" data-placement="top" title="Facebook"> <i class="fa fa-facebook-square" aria-hidden="true"></i> </a> <a class="noborder" href="" target="_blank" class="social-icon social-icon-border social-facebook pull-left block" data-toggle="tooltip" data-placement="top" title="Twitter"> <i class="fa fa-twitter-square" aria-hidden="true"></i> </a> <a class="noborder" href="" target="_blank" class="social-icon social-icon-border social-facebook pull-left block" data-toggle="tooltip" data-placement="top" title="Linkedin"> <i class="fa fa-linkedin-square" aria-hidden="true"></i> </a> <a class="noborder" href="./ju.rss" class="social-icon social-icon-border social-rss pull-left block" data-toggle="tooltip" data-placement="top" title="Rss"><i class="fa fa-rss-square" aria-hidden="true"></i></a> </div> </div> </div> <div class="copyright" style="position: relative"> <ul class="nomargin list-inline mobile-block"> <li>© Journal Management System. <span id='sp_crt'>Powered by <a target='_blank' href='https://www.sinaweb.net/'>Sinaweb</a></span></li> </ul> </div> </footer> </div> <!-- /FOOTER --> </div> <!-- /wrapper --> <!-- SCROLL TO TOP --> <a href="#" id="toTop_old"></a> <!-- PRELOADER --> <div id="preloader"> <div class="inner"> <span class="loader"></span> </div> </div><!-- /PRELOADER --> <!-- JAVASCRIPT FILES --> <script type="text/javascript">var plugin_path = './themes/base/front/assets/plugins/';</script> <script type="text/javascript" src="./themes/base/front/assets/js/scripts.js?v=0.02"></script> <!-- user defined scripts--> <!-- Extra Script Scripts --> <script type="text/javascript"> $('ul.nav li.dropdown').hover(function() { if (window.matchMedia('(max-width: 767px)').matches) return; 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