Cooperative scheduling and subcontracting strategies for products with yield decay: A mixed-integer programming approach

This study introduces a mixed-integer programming framework to analyze cooperative scheduling and outsourcing decisions for perishable products affected by yield decay. We study two manufacturers that share a subcontractor, operate under sequence-dependent setup times, and aim to schedule their oper...

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Veröffentlicht in:Expert systems with applications Jg. 300; S. 130226
Hauptverfasser: Gökgür, Burak, Özpeynirci, Selin, Tanıl, Mutlu İpek
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Sprache:Englisch
Veröffentlicht: Elsevier Ltd 05.03.2026
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ISSN:0957-4174
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Abstract This study introduces a mixed-integer programming framework to analyze cooperative scheduling and outsourcing decisions for perishable products affected by yield decay. We study two manufacturers that share a subcontractor, operate under sequence-dependent setup times, and aim to schedule their operations to maximize profit. Three subcontracting strategies are assessed: no subcontracting, non-cooperative subcontracting, and cooperative scheduling. Our illustrative example and extensive numerical experiments across 18 scenarios demonstrate notable efficiency gains. Cooperation improves total supply chain profit by 4.55 % under low setup times and up to 147.37 % under high setup times. Changes in subcontractor costs cause asymmetric profit redistributions, with decreases of 19.6 % for the lead firm and increases of 47.4 % for the follower in the Principal-Agent framework. When tardiness penalties are high, cooperation improves profit by 30.2 % compared to non-cooperation. A probabilistic analysis of subcontractor access indicates that total supply chain profit peaks when the follower has priority, despite this conflicting with individual firm incentives. Conditional Value-at-Risk analysis emphasizes the asymmetric downside risks of decentralization, with one firm being more vulnerable in worst-case scenarios. Overall, these findings highlight the benefits of cooperative subcontracting and underscore the importance of incentive-compatible contracts and risk-sharing mechanisms in shared-capacity environments with time-sensitive yield decay.
AbstractList This study introduces a mixed-integer programming framework to analyze cooperative scheduling and outsourcing decisions for perishable products affected by yield decay. We study two manufacturers that share a subcontractor, operate under sequence-dependent setup times, and aim to schedule their operations to maximize profit. Three subcontracting strategies are assessed: no subcontracting, non-cooperative subcontracting, and cooperative scheduling. Our illustrative example and extensive numerical experiments across 18 scenarios demonstrate notable efficiency gains. Cooperation improves total supply chain profit by 4.55 % under low setup times and up to 147.37 % under high setup times. Changes in subcontractor costs cause asymmetric profit redistributions, with decreases of 19.6 % for the lead firm and increases of 47.4 % for the follower in the Principal-Agent framework. When tardiness penalties are high, cooperation improves profit by 30.2 % compared to non-cooperation. A probabilistic analysis of subcontractor access indicates that total supply chain profit peaks when the follower has priority, despite this conflicting with individual firm incentives. Conditional Value-at-Risk analysis emphasizes the asymmetric downside risks of decentralization, with one firm being more vulnerable in worst-case scenarios. Overall, these findings highlight the benefits of cooperative subcontracting and underscore the importance of incentive-compatible contracts and risk-sharing mechanisms in shared-capacity environments with time-sensitive yield decay.
ArticleNumber 130226
Author Tanıl, Mutlu İpek
Gökgür, Burak
Özpeynirci, Selin
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  surname: Gökgür
  fullname: Gökgür, Burak
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  givenname: Selin
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  email: selin.ozpeynirci@ieu.edu.tr
  organization: Department of Industrial Engineering, İzmir University of Economics, İzmir, Türkiye
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  givenname: Mutlu İpek
  orcidid: 0000-0003-4775-0442
  surname: Tanıl
  fullname: Tanıl, Mutlu İpek
  email: m.i.tanil@tue.nl
  organization: Department of Industrial Engineering & Innovation Sciences, Eindhoven University of Technology, Eindhoven, Netherlands
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Keywords Integer programming
Scheduling
Outsourcing
Decreasing yield
Cooperation
Language English
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Snippet This study introduces a mixed-integer programming framework to analyze cooperative scheduling and outsourcing decisions for perishable products affected by...
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StartPage 130226
SubjectTerms Cooperation
Decreasing yield
Integer programming
Outsourcing
Scheduling
Title Cooperative scheduling and subcontracting strategies for products with yield decay: A mixed-integer programming approach
URI https://dx.doi.org/10.1016/j.eswa.2025.130226
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