<?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-1413</article-id>
      <title-group>
        <article-title>Stochastic optimization of multi-capacitated vehicle routing problem with pickup and delivery using saving matrix algorithm</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes">
          <name>
            <surname>Bhuranda</surname>
            <given-names>Lokesh Kumar</given-names>
          </name>
          <aff>Department of Mathematics &amp; Statistics, Manipal University Jaipur, Jaipur, Rajasthan, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Rizwanullah</surname>
            <given-names>Mohd.</given-names>
          </name>
          <aff>Department of Mathematics &amp; Statistics, Manipal University Jaipur, Jaipur, Rajasthan, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Sharma</surname>
            <given-names>Arpit Kumar</given-names>
          </name>
          <aff>Department of Computer and Communication Engineering, Manipal University Jaipur, Jaipur, Rajasthan, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Gautam</surname>
            <given-names>Kamlesh</given-names>
          </name>
          <aff>Department of Computer Engineering, Poornima College of Engineering, Jaipur, Rajasthan, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Chawla</surname>
            <given-names>Yash</given-names>
          </name>
          <aff>Wroclaw University of Science and Technology, Wroclaw, Poland</aff>
          <aff>DAC. Digital, Gdansk, Poland</aff>
        </contrib>
      </contrib-group>
      <volume>44</volume>
      <issue>3</issue>
      <fpage>541</fpage>
      <lpage>552</lpage>
      <pub-date date-type="pub">
        <day>11</day>
        <month>08</month>
        <year>2023</year>
      </pub-date>
      <abstract>
        <p>The Multi-Capacitated Problem is an optimization problem. To reduce the overall distance, the optimization problem seeks out vehicle routes that connect every customer to a storage facility. This article uses a saving matrix approach to propose an extended Vehicle Routing Problem that considers a stochastic environment and multiple capacitors. Stochastic customers are an essential element of the problem. A computational analysis also supports the suggested approach to obtain the best route.</p>
      </abstract>
      <kwd-group>
        <kwd>Vehicle routing problem</kwd>
        <kwd>Stochastic optimization</kwd>
        <kwd>Integer programming</kwd>
        <kwd>Saving matrix approach</kwd>
        <kwd>Route</kwd>
        <kwd>Distance</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>
