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    <journal-meta>
      <journal-id journal-id-type="nlm-ta">REA Press</journal-id>
      <journal-id journal-id-type="publisher-id">Null</journal-id>
      <journal-title>REA Press</journal-title><issn pub-type="ppub">3042-3066</issn><issn pub-type="epub">3042-3066</issn><publisher>
      	<publisher-name>REA Press</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi"> https://doi.org/10.48313/scodm.vi.66</article-id>
      <article-categories>
        <subj-group subj-group-type="heading">
          <subject>Research Article</subject>
        </subj-group>
        <subj-group><subject>Simultaneous optimization, Failure, Inspection, Preventive maintenance, Demand scenarios.</subject></subj-group>
      </article-categories>
      <title-group>
        <article-title>Simultaneous Optimization of Production, Maintenance, and Quality in a Multi-Product System under Demand Scenarios</article-title><subtitle>Simultaneous Optimization of Production, Maintenance, and Quality in a Multi-Product System under Demand Scenarios</subtitle></title-group>
      <contrib-group><contrib contrib-type="author">
	<name name-style="western">
	<surname>Hosseini </surname>
		<given-names>Seyed Mohammad Hassan</given-names>
	</name>
	<aff>Department of Industrial Engineering and Management, Shahrood University of Technology, Shahrood, Iran.</aff>
	</contrib></contrib-group>		
      <pub-date pub-type="ppub">
        <month>11</month>
        <year>2026</year>
      </pub-date>
      <pub-date pub-type="epub">
        <day>10</day>
        <month>11</month>
        <year>2026</year>
      </pub-date>
      <volume>3</volume>
      <issue>3</issue>
      <permissions>
        <copyright-statement>© 2026 REA Press</copyright-statement>
        <copyright-year>2026</copyright-year>
        <license license-type="open-access" xlink:href="http://creativecommons.org/licenses/by/2.5/"><p>This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.</p></license>
      </permissions>
      <related-article related-article-type="companion" vol="2" page="e235" id="RA1" ext-link-type="pmc">
			<article-title>Simultaneous Optimization of Production, Maintenance, and Quality in a Multi-Product System under Demand Scenarios</article-title>
      </related-article>
	  <abstract abstract-type="toc">
		<p>
			This study addresses the integrated optimization of production, Preventive Maintenance (PM), inspection, and quality control decisions in a multi-period and multi-product manufacturing system subject to two distinct types of stochastic failures. Type I failure represents a shift from an in-control to an out-of-control state, leading to the production of nonconforming items, which can only be identified through inspection. Type II failure is a complete system breakdown that halts production and requires corrective maintenance. The proposed model incorporates multiple levels of  PM, each associated with different costs, durations, and age-reduction effects on the production system. To reflect real-world market variability, three demand scenarios are considered, representing high, medium, and low demand levels with different associated lost-order costs. The objective is to maximize the expected total profit by jointly determining production quantities, inspection schedules, PM levels, and inventory and sales decisions. The problem is formulated as a mixed-integer nonlinear programming model. Due to its complexity, a step-by-step solution procedure and a genetic algorithm are developed and compared with exact solutions obtained via GAMS for smaller instances. Computational results indicate that increasing the number of inspections up to a certain threshold improves profitability by reducing nonconforming output and failure-related losses, while the optimal  PM  level depends on the interaction between maintenance costs, production requirements, and demand conditions. The findings provide practical insights for managers in knowledge-intensive and high-mix manufacturing environments seeking to balance equipment reliability, product quality, and customer service under uncertain demand.
		</p>
		</abstract>
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