<?xml version="1.0" encoding="utf-8"?>
<journal>
<title>International Journal of Applied Operational Research</title>
<title_fa>ژورنال بین المللی پژوهش عملیاتی</title_fa>
<short_title>International Journal of Applied Operational Research - An Open Access Journal</short_title>
<subject>Basic Sciences</subject>
<web_url>http://ijorlu.lahijan.iau.ir</web_url>
<journal_hbi_system_id>1</journal_hbi_system_id>
<journal_hbi_system_user>admin</journal_hbi_system_user>
<journal_id_issn>2251-6867</journal_id_issn>
<journal_id_issn_online>2251-9432</journal_id_issn_online>
<journal_id_pii>8</journal_id_pii>
<journal_id_doi>7</journal_id_doi>
<journal_id_iranmedex></journal_id_iranmedex>
<journal_id_magiran></journal_id_magiran>
<journal_id_sid>14</journal_id_sid>
<journal_id_nlai>8888</journal_id_nlai>
<journal_id_science>13</journal_id_science>
<language>en</language>
<pubdate>
	<type>jalali</type>
	<year>1402</year>
	<month>6</month>
	<day>1</day>
</pubdate>
<pubdate>
	<type>gregorian</type>
	<year>2023</year>
	<month>9</month>
	<day>1</day>
</pubdate>
<volume>11</volume>
<number>4</number>
<publish_type>online</publish_type>
<publish_edition>1</publish_edition>
<article_type>fulltext</article_type>
<articleset>
	<article>


	<language>en</language>
	<article_id_doi></article_id_doi>
	<title_fa></title_fa>
	<title>Inverse data envelopment analysis for merging two-stage network systems</title>
	<subject_fa>عمومى</subject_fa>
	<subject>General</subject>
	<content_type_fa>پژوهشي</content_type_fa>
	<content_type>Research</content_type>
	<abstract_fa></abstract_fa>
	<abstract>&lt;span style=&quot;font-size:11pt&quot;&gt;&lt;span style=&quot;line-height:normal&quot;&gt;&lt;span style=&quot;unicode-bidi:embed&quot;&gt;&lt;span sans-serif=&quot;&quot; style=&quot;font-family:Calibri,&quot;&gt;&lt;span new=&quot;&quot; roman=&quot;&quot; style=&quot;font-family:&quot; times=&quot;&quot;&gt;The inverse data envelopment analysis (InvDEA) technique is an applicable method in order to estimate the input/output levels of decision-making units (DMUs) to preserve predetermined technical efficiency scores. In the managerial atmosphere, the decision maker (DM) aims to merge two or more units and needs to know the input/output levels of the merged unit, while the efficiency score of the new unit is set, however, in some cases, the units have two-stage network structures. The main purpose of this paper is merging DMUs with two-stage network structures. To reach this goal, in this paper, an InvDEA method is presented in order to estimate inputs and the intermediate products of two-stage DMUs, to achieve the different predetermined efficiency scores which have been set by the DM.&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;</abstract>
	<keyword_fa></keyword_fa>
	<keyword>Inverse DEA, Network DEA, Two-Stage Systems, Merge and Aggregation</keyword>
	<start_page>39</start_page>
	<end_page>49</end_page>
	<web_url>http://ijorlu.lahijan.iau.ir/browse.php?a_code=A-10-533-1&amp;slc_lang=en&amp;sid=1</web_url>


<author_list>
	<author>
	<first_name>Z.</first_name>
	<middle_name></middle_name>
	<last_name>Shiri Daryani</last_name>
	<suffix></suffix>
	<first_name_fa></first_name_fa>
	<middle_name_fa></middle_name_fa>
	<last_name_fa></last_name_fa>
	<suffix_fa></suffix_fa>
	<email>shiridaryanizahra@yahoo.com</email>
	<code>10031947532846001698</code>
	<orcid>10031947532846001698</orcid>
	<coreauthor>No</coreauthor>
	<affiliation>Department of Mathematics, South Tehran Branch, Islamic Azad University, Tehran, Iran</affiliation>
	<affiliation_fa></affiliation_fa>
	 </author>


	<author>
	<first_name>Gh.</first_name>
	<middle_name></middle_name>
	<last_name>Tohidi</last_name>
	<suffix></suffix>
	<first_name_fa></first_name_fa>
	<middle_name_fa></middle_name_fa>
	<last_name_fa></last_name_fa>
	<suffix_fa></suffix_fa>
	<email>gh_tohidi@iauctb.ac.ir</email>
	<code>10031947532846001699</code>
	<orcid>10031947532846001699</orcid>
	<coreauthor>Yes
</coreauthor>
	<affiliation>Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran</affiliation>
	<affiliation_fa></affiliation_fa>
	 </author>


	<author>
	<first_name>B.</first_name>
	<middle_name></middle_name>
	<last_name>Daneshian</last_name>
	<suffix></suffix>
	<first_name_fa></first_name_fa>
	<middle_name_fa></middle_name_fa>
	<last_name_fa></last_name_fa>
	<suffix_fa></suffix_fa>
	<email>b_daneshian@azad.ac.ir</email>
	<code>10031947532846001700</code>
	<orcid>10031947532846001700</orcid>
	<coreauthor>No</coreauthor>
	<affiliation>Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran</affiliation>
	<affiliation_fa></affiliation_fa>
	 </author>


	<author>
	<first_name>Sh.</first_name>
	<middle_name></middle_name>
	<last_name>Razavyan</last_name>
	<suffix></suffix>
	<first_name_fa></first_name_fa>
	<middle_name_fa></middle_name_fa>
	<last_name_fa></last_name_fa>
	<suffix_fa></suffix_fa>
	<email>sh_razavyan@azad.ac.ir</email>
	<code>10031947532846001701</code>
	<orcid>10031947532846001701</orcid>
	<coreauthor>No</coreauthor>
	<affiliation>Department of Mathematics, South Tehran Branch, Islamic Azad University, Tehran, Iran</affiliation>
	<affiliation_fa></affiliation_fa>
	 </author>


	<author>
	<first_name>F.</first_name>
	<middle_name></middle_name>
	<last_name>Hosseinzadeh Lotfi</last_name>
	<suffix></suffix>
	<first_name_fa></first_name_fa>
	<middle_name_fa></middle_name_fa>
	<last_name_fa></last_name_fa>
	<suffix_fa></suffix_fa>
	<email>farhad@hosseinzadeh.ir</email>
	<code>10031947532846001702</code>
	<orcid>10031947532846001702</orcid>
	<coreauthor>No</coreauthor>
	<affiliation>Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran</affiliation>
	<affiliation_fa></affiliation_fa>
	 </author>


</author_list>


	</article>
</articleset>
</journal>
