<?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-2243</article-id>
      <title-group>
        <article-title>A mathematical congestion-aware Dijkstra optimization model for adaptive routing in CCDN</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <name>
            <surname>Gupta</surname>
            <given-names>Rohit Kumar</given-names>
          </name>
          <aff>Department of Computer Science &amp; Engineering, Malaviya National Institute of Technology Jaipur, Jaipur, Rajasthan, 302017, India</aff>
          <aff>Department of Information Technology, Manipal University Jaipur, Jaipur, Rajasthan, 303007, India</aff>
        </contrib>
        <contrib contrib-type="author" corresp="yes">
          <name>
            <surname>Mazumdar</surname>
            <given-names>Arka Prokash</given-names>
          </name>
          <aff>Department of Computer Science &amp; Engineering, Malaviya National Institute of Technology Jaipur, Jaipur, Rajasthan, 302017, India</aff>
        </contrib>
      </contrib-group>
      <volume>47</volume>
      <issue>4</issue>
      <fpage>1591</fpage>
      <lpage>1601</lpage>
      <pub-date date-type="pub">
        <day>04</day>
        <month>04</month>
        <year>2026</year>
      </pub-date>
      <abstract>
        <p>Today’s content delivery over the Internet via Cloud-based Content Delivery Networks (CCDNs) must address critical challenges such as dynamic traffic, congestion, inefficient routing, and latency variations, which are not effectively handled by the traditional Dijkstra’s algorithm due to its static cost assignments. To overcome these challenges, a congestion-aware collaborative Dijkstra optimization approach guided by the Proximal Policy Optimization (PPO) method is proposed. This PPO-Guided Dijkstra integrates graph-theoretic path computation with optimization-driven cost adjustments by considering real-time congestion data. Simulation-based assessments across various network conditions indicate that the proposed model achieves a 33% reduction in latency, a 6.7% improvement in resilience under node failure scenarios, and significantly faster convergence in comparison to conventional and non-collaborative routing strategies. These findings demonstrate the scalable, congestion-aware routing solution for next-generation CCDNs.</p>
      </abstract>
      <kwd-group>
        <kwd>Cloud-based CDN</kwd>
        <kwd>Mathematical decision models</kwd>
        <kwd>PPO</kwd>
        <kwd>Dijkstra</kwd>
        <kwd>Congestion-aware routing</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>
