<?xml version="1.0" encoding="UTF-8"?>
<article article-type="Research Article">
  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher">journal-of-information-and-optimization-sciences</journal-id>
      <journal-title-group>
        <journal-title>Journal of Information and Optimization Sciences</journal-title>
      </journal-title-group>
      <issn publication-format="electronic">2169-0103</issn>
      <issn publication-format="print">0252-2667</issn>
      <publisher>
        <publisher-name>Taru Publications</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.47974/JIOS-2112</article-id>
      <title-group>
        <article-title>A note on the multi-depot vehicle routing problem</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes">
          <name>
            <surname>Kritikos</surname>
            <given-names>Manolis N.</given-names>
          </name>
          <aff>Department of Management Science and Technology, Management Science Laboratory, Athens University of Economics and Business, Athens, 10434, Greece</aff>
        </contrib>
      </contrib-group>
      <volume>47</volume>
      <issue>2</issue>
      <fpage>641</fpage>
      <lpage>643</lpage>
      <pub-date date-type="pub">
        <day>24</day>
        <month>11</month>
        <year>2025</year>
      </pub-date>
      <abstract>
        <p>In a paper, Geetha, Vanathi, and Poonthalir [1] suggested a model for the MDVRP. However, we find that authors ignore the relationship between the two types of proposed binary decision variables, and it leads to the wrong integer programming model for the MDVRP. We give an illustrative example to identify the problem and suggest new constraints to overcome. Also, authors should include the distances between depots and customers in the objective function.</p>
      </abstract>
      <kwd-group>
        <kwd>Multi-depot vehicle routing problem</kwd>
        <kwd>Integer programming</kwd>
      </kwd-group>
      <custom-meta-group>
        <custom-meta>
          <meta-name>access</meta-name>
          <meta-value>open</meta-value>
        </custom-meta>
        <custom-meta>
          <meta-name>retracted</meta-name>
          <meta-value>no</meta-value>
        </custom-meta>
      </custom-meta-group>
    </article-meta>
  </front>
</article>
