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        <datestamp>2025-02-06</datestamp>
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          <dc:description>Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2025-02-04 without embargo terms</dc:description>
          <dc:description>The student, Yoonhwan Kang, accepted the attached license on 2024-07-15 at 15:16.</dc:description>
          <dc:description>The student, Yoonhwan Kang, submitted this Thesis for approval on 2024-07-15 at 15:23.</dc:description>
          <dc:description>This Thesis was approved for publication on 2024-07-18 at 08:15.</dc:description>
          <dc:description>DSpace SAF Submission Ingestion Package generated from Vireo submission #21120 on 2025-02-04 at 21:05:23</dc:description>
          <dc:description>Demand for efficient cloud workflow scheduling solutions is increasing, particularly for managing large-scale datasets. The cloud workflow scheduling problem formulated as a mixed integer linear programming (MILP) problem, requires significant computational time as the dataset scale increases. Consequently, various approaches have been studied to relax the problem into a more solvable form. This thesis presents an exploratory study on applying Lagrangian Relaxation to the cloud workflow scheduling problem. We propose a MILP formulation incorporating moving costs to reflect real-world scenarios better. By applying the Lagrangian relaxation approach and additional methods, we can obtain tight near-optimal solutions quickly. These solutions can serve as lower bounds for the MILP, enabling a reduction in computational time.</dc:description>
          <dc:date>2024-08</dc:date>
          <dc:type>Thesis</dc:type>
          <dc:identifier>https://hdl.handle.net/2142/125638</dc:identifier>
          <dc:rights>Copyright 2024 Yoonhwan Kang</dc:rights>
          <dc:title>Exploratory research of Lagrangian relaxation for cloud workflow scheduling</dc:title>
          <dc:creator>Kang, Yoonhwan</dc:creator>
          <dc:date>2024-07-18</dc:date>
          <dc:contributor>Nagi, Rakesh</dc:contributor>
          <dc:subject>Cloud Workflow Scheduling</dc:subject>
          <dc:subject>Lagrangian Relaxation (lr)</dc:subject>
          <dc:subject>Gap Closure Theme</dc:subject>
          <dc:subject>Subgradient Method.</dc:subject>
          <dc:language>eng</dc:language>
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            <department>Industrial&amp;Enterprise Sys Eng</department>
            <discipline>Industrial Engineering</discipline>
            <grantor>University of Illinois at Urbana-Champaign</grantor>
            <name>M.S.</name>
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