<?xml version='1.0' encoding='utf-8'?>
<eprints xmlns='http://eprints.org/ep2/data/2.0'>
  <eprint id='https://pure.iiasa.ac.at/id/eprint/403'>
    <eprintid>403</eprintid>
    <rev_number>21</rev_number>
    <documents>
      <document id='https://pure.iiasa.ac.at/id/document/408'>
        <docid>408</docid>
        <rev_number>3</rev_number>
        <files>
          <file id='https://pure.iiasa.ac.at/id/file/810'>
            <fileid>810</fileid>
            <datasetid>document</datasetid>
            <objectid>408</objectid>
            <filename>WP-75-025.pdf</filename>
            <mime_type>application/pdf</mime_type>
            <hash>d513c62ec88e63cd74863aa50b2366b3</hash>
            <hash_type>MD5</hash_type>
            <filesize>583907</filesize>
            <mtime>2016-01-15 01:42:24</mtime>
            <url>https://pure.iiasa.ac.at/id/eprint/403/1/WP-75-025.pdf</url>
          </file>
        </files>
        <eprintid>403</eprintid>
        <pos>1</pos>
        <placement>1</placement>
        <format>text</format>
        <language>en</language>
        <security>public</security>
        <main>WP-75-025.pdf</main>
        <coversheetid>22</coversheetid>
        <coverdata_hash>0b8cebea2c0a12a874f1c6e83612b479926a7fc3</coverdata_hash>
      </document>
      <document id='https://pure.iiasa.ac.at/id/document/29985'>
        <docid>29985</docid>
        <rev_number>2</rev_number>
        <files>
          <file id='https://pure.iiasa.ac.at/id/file/41717'>
            <fileid>41717</fileid>
            <datasetid>document</datasetid>
            <objectid>29985</objectid>
            <filename>lightbox.jpg</filename>
            <mime_type>image/png</mime_type>
            <hash>655fca12832f93e8022ac3c2ccc260fb</hash>
            <hash_type>MD5</hash_type>
            <filesize>7795</filesize>
            <mtime>2016-01-15 23:10:10</mtime>
            <url>https://pure.iiasa.ac.at/id/eprint/403/2/lightbox.jpg</url>
          </file>
        </files>
        <eprintid>403</eprintid>
        <pos>2</pos>
        <placement>2</placement>
        <mime_type>image/png</mime_type>
        <format>other</format>
        <formatdesc>Thumbnails conversion from text to thumbnail_lightbox</formatdesc>
        <language>en</language>
        <security>public</security>
        <main>lightbox.jpg</main>
        <relation>
          <item>
            <type>http://eprints.org/relation/isVersionOf</type>
            <uri>https://pure.iiasa.ac.at/id/document/408</uri>
          </item>
          <item>
            <type>http://eprints.org/relation/isVolatileVersionOf</type>
            <uri>https://pure.iiasa.ac.at/id/document/408</uri>
          </item>
          <item>
            <type>http://eprints.org/relation/islightboxThumbnailVersionOf</type>
            <uri>https://pure.iiasa.ac.at/id/document/408</uri>
          </item>
        </relation>
      </document>
      <document id='https://pure.iiasa.ac.at/id/document/29986'>
        <docid>29986</docid>
        <rev_number>2</rev_number>
        <files>
          <file id='https://pure.iiasa.ac.at/id/file/41718'>
            <fileid>41718</fileid>
            <datasetid>document</datasetid>
            <objectid>29986</objectid>
            <filename>preview.jpg</filename>
            <mime_type>image/png</mime_type>
            <hash>df25ee44bd760876d81c5f537c1fff84</hash>
            <hash_type>MD5</hash_type>
            <filesize>3534</filesize>
            <mtime>2016-01-15 23:10:11</mtime>
            <url>https://pure.iiasa.ac.at/id/eprint/403/3/preview.jpg</url>
          </file>
        </files>
        <eprintid>403</eprintid>
        <pos>3</pos>
        <placement>3</placement>
        <mime_type>image/png</mime_type>
        <format>other</format>
        <formatdesc>Thumbnails conversion from text to thumbnail_preview</formatdesc>
        <language>en</language>
        <security>public</security>
        <main>preview.jpg</main>
        <relation>
          <item>
            <type>http://eprints.org/relation/isVersionOf</type>
            <uri>https://pure.iiasa.ac.at/id/document/408</uri>
          </item>
          <item>
            <type>http://eprints.org/relation/isVolatileVersionOf</type>
            <uri>https://pure.iiasa.ac.at/id/document/408</uri>
          </item>
          <item>
            <type>http://eprints.org/relation/ispreviewThumbnailVersionOf</type>
            <uri>https://pure.iiasa.ac.at/id/document/408</uri>
          </item>
        </relation>
      </document>
      <document id='https://pure.iiasa.ac.at/id/document/29987'>
        <docid>29987</docid>
        <rev_number>2</rev_number>
        <files>
          <file id='https://pure.iiasa.ac.at/id/file/41719'>
            <fileid>41719</fileid>
            <datasetid>document</datasetid>
            <objectid>29987</objectid>
            <filename>medium.jpg</filename>
            <mime_type>image/png</mime_type>
            <hash>69401af7c06dc9d0419480a3d40a9483</hash>
            <hash_type>MD5</hash_type>
            <filesize>2476</filesize>
            <mtime>2016-01-15 23:10:12</mtime>
            <url>https://pure.iiasa.ac.at/id/eprint/403/4/medium.jpg</url>
          </file>
        </files>
        <eprintid>403</eprintid>
        <pos>4</pos>
        <placement>4</placement>
        <mime_type>image/png</mime_type>
        <format>other</format>
        <formatdesc>Thumbnails conversion from text to thumbnail_medium</formatdesc>
        <language>en</language>
        <security>public</security>
        <main>medium.jpg</main>
        <relation>
          <item>
            <type>http://eprints.org/relation/isVersionOf</type>
            <uri>https://pure.iiasa.ac.at/id/document/408</uri>
          </item>
          <item>
            <type>http://eprints.org/relation/isVolatileVersionOf</type>
            <uri>https://pure.iiasa.ac.at/id/document/408</uri>
          </item>
          <item>
            <type>http://eprints.org/relation/ismediumThumbnailVersionOf</type>
            <uri>https://pure.iiasa.ac.at/id/document/408</uri>
          </item>
        </relation>
      </document>
      <document id='https://pure.iiasa.ac.at/id/document/29988'>
        <docid>29988</docid>
        <rev_number>2</rev_number>
        <files>
          <file id='https://pure.iiasa.ac.at/id/file/41720'>
            <fileid>41720</fileid>
            <datasetid>document</datasetid>
            <objectid>29988</objectid>
            <filename>small.jpg</filename>
            <mime_type>image/png</mime_type>
            <hash>c0a71ad32d8a27c49f632e68ffb2642b</hash>
            <hash_type>MD5</hash_type>
            <filesize>850</filesize>
            <mtime>2016-01-15 23:10:13</mtime>
            <url>https://pure.iiasa.ac.at/id/eprint/403/5/small.jpg</url>
          </file>
        </files>
        <eprintid>403</eprintid>
        <pos>5</pos>
        <placement>5</placement>
        <mime_type>image/png</mime_type>
        <format>other</format>
        <formatdesc>Thumbnails conversion from text to thumbnail_small</formatdesc>
        <language>en</language>
        <security>public</security>
        <main>small.jpg</main>
        <relation>
          <item>
            <type>http://eprints.org/relation/isVersionOf</type>
            <uri>https://pure.iiasa.ac.at/id/document/408</uri>
          </item>
          <item>
            <type>http://eprints.org/relation/isVolatileVersionOf</type>
            <uri>https://pure.iiasa.ac.at/id/document/408</uri>
          </item>
          <item>
            <type>http://eprints.org/relation/issmallThumbnailVersionOf</type>
            <uri>https://pure.iiasa.ac.at/id/document/408</uri>
          </item>
        </relation>
      </document>
      <document id='https://pure.iiasa.ac.at/id/document/29994'>
        <docid>29994</docid>
        <rev_number>1</rev_number>
        <files>
          <file id='https://pure.iiasa.ac.at/id/file/41726'>
            <fileid>41726</fileid>
            <datasetid>document</datasetid>
            <objectid>29994</objectid>
            <filename>indexcodes.txt</filename>
            <mime_type>text/x-c++</mime_type>
            <hash>3d55b6c9128d404495bdcb50142a9774</hash>
            <hash_type>MD5</hash_type>
            <filesize>7743</filesize>
            <mtime>2016-01-15 23:10:20</mtime>
            <url>https://pure.iiasa.ac.at/id/eprint/403/6/indexcodes.txt</url>
          </file>
        </files>
        <eprintid>403</eprintid>
        <pos>6</pos>
        <placement>6</placement>
        <mime_type>text/x-c++</mime_type>
        <format>other</format>
        <formatdesc>Generate index codes conversion from text to indexcodes</formatdesc>
        <language>en</language>
        <security>public</security>
        <main>indexcodes.txt</main>
        <relation>
          <item>
            <type>http://eprints.org/relation/isVersionOf</type>
            <uri>https://pure.iiasa.ac.at/id/document/408</uri>
          </item>
          <item>
            <type>http://eprints.org/relation/isVolatileVersionOf</type>
            <uri>https://pure.iiasa.ac.at/id/document/408</uri>
          </item>
          <item>
            <type>http://eprints.org/relation/isIndexCodesVersionOf</type>
            <uri>https://pure.iiasa.ac.at/id/document/408</uri>
          </item>
        </relation>
      </document>
      <document id='https://pure.iiasa.ac.at/id/document/83300'>
        <docid>83300</docid>
        <rev_number>2</rev_number>
        <files>
          <file id='https://pure.iiasa.ac.at/id/file/233987'>
            <fileid>233987</fileid>
            <datasetid>document</datasetid>
            <objectid>83300</objectid>
            <filename>WP-75-025.pdf</filename>
            <mime_type>application/pdf</mime_type>
            <hash>658a210a148a739ab5a477701b377fe5</hash>
            <hash_type>MD5</hash_type>
            <filesize>1275787</filesize>
            <mtime>2018-03-14 14:16:20</mtime>
            <url>https://pure.iiasa.ac.at/id/eprint/403/7/WP-75-025.pdf</url>
          </file>
        </files>
        <eprintid>403</eprintid>
        <pos>7</pos>
        <placement>7</placement>
        <mime_type>application/pdf</mime_type>
        <format>other</format>
        <formatdesc>Coversheet version</formatdesc>
        <language>en</language>
        <security>public</security>
        <main>WP-75-025.pdf</main>
        <relation>
          <item>
            <type>http://eprints.org/relation/isVersionOf</type>
            <uri>https://pure.iiasa.ac.at/id/document/408</uri>
          </item>
          <item>
            <type>http://eprints.org/relation/isVolatileVersionOf</type>
            <uri>https://pure.iiasa.ac.at/id/document/408</uri>
          </item>
          <item>
            <type>http://eprints.org/relation/isCoversheetVersionOf</type>
            <uri>https://pure.iiasa.ac.at/id/document/408</uri>
          </item>
        </relation>
      </document>
    </documents>
    <eprint_status>archive</eprint_status>
    <userid>351</userid>
    <dir>disk0/00/00/04/03</dir>
    <datestamp>2016-01-15 01:42:24</datestamp>
    <lastmod>2021-08-27 17:08:00</lastmod>
    <status_changed>2016-01-15 01:42:24</status_changed>
    <type>monograph</type>
    <metadata_visibility>show</metadata_visibility>
    <item_issues_count>2</item_issues_count>
    <creators>
      <item>
        <name>
          <family>Häfele</family>
          <given>W.</given>
        </name>
        <id>36</id>
      </item>
    </creators>
    <title>Objective Functions</title>
    <ispublished>pub</ispublished>
    <internal_subjects>
      <item>iis_env</item>
      <item>iis_das</item>
    </internal_subjects>
    <divisions>
      <item>prog_enp</item>
    </divisions>
    <abstract>Since the early 1940s the field of operations research has played an increasingly important role. A prominent area in this field is that of optimization problems, particularly linear programming (LP). As early as 1939 Kantorovich recognized the importance of LP and made early contributions; but it was G.B. Dantzig who in 1947 made the decisive breakthrough by developing the Simplex method. The significance of LP in its own right was firmly established in 1949 at the conference held by Koopmans in Chicago. 

In LP problems all relations are linear. The aim is to optimize a linear objective function under a number of linear constraints. A classical example is the allocation problem in a transport task.</abstract>
    <date>1975</date>
    <date_type>published</date_type>
    <publisher>WP-75-025</publisher>
    <iiasapubid>WP-75-025</iiasapubid>
    <price>10</price>
    <creators_browse_id>
      <item>2555</item>
    </creators_browse_id>
    <full_text_status>public</full_text_status>
    <monograph_type>working_paper</monograph_type>
    <place_of_pub>IIASA, Laxenburg, Austria</place_of_pub>
    <pages>21</pages>
    <coversheets_dirty>FALSE</coversheets_dirty>
    <fp7_type>info:eu-repo/semantics/book</fp7_type>
  </eprint>
</eprints>
