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Setting Planned Leadtimes in Customer-Order-Driven Assembly Systems

Author

Listed:
  • Zümbül Atan

    (Department of Industrial Engineering and Innovation Sciences, Eindhoven University of Technology, 5600 MB, Eindhoven, Nethlerlands)

  • Ton de Kok

    (Department of Industrial Engineering and Innovation Sciences, Eindhoven University of Technology, 5600 MB, Eindhoven, Nethlerlands)

  • Nico P. Dellaert

    (Department of Industrial Engineering and Innovation Sciences, Eindhoven University of Technology, 5600 MB, Eindhoven, Nethlerlands)

  • Richard van Boxel

    (ASML, 5504DR Veldhoven, Netherlands)

  • Fred Janssen

    (ASML, 5504DR Veldhoven, Netherlands)

Abstract

We study an assembly system with a number of parallel multistage processes feeding a multistage final assembly process. Each stage has a stochastic throughput time. We assume that the system is controlled by planned leadtimes at each stage. From these planned leadtimes the start and due times of all stages can be derived. If a job finishes at a particular stage and has to wait before the start of the next job(s), a holding cost proportional to the waiting time is incurred. A penalty cost proportional to the lateness is incurred when the last stage of the final assembly process finishes after its due time. The objective is to determine planned leadtimes for each individual stage, such that the expected cost of a customer order is minimized.We derive the recursive equations for the tardiness and earliness at all stages and an exact expression for the expected cost. We discuss the similarity between these expressions and those for serial inventory systems. Based on this observation and a conjecture related to the generalized Newsvendor equations, we develop an iterative heuristic procedure. Comparison with a numerical optimization method confirms the accuracy of the heuristic. Finally, we discuss an application of the model to a real-life case, showing the added value of a system-wide optimization of planned leadtimes compared to current practice.

Suggested Citation

  • Zümbül Atan & Ton de Kok & Nico P. Dellaert & Richard van Boxel & Fred Janssen, 2016. "Setting Planned Leadtimes in Customer-Order-Driven Assembly Systems," Manufacturing & Service Operations Management, INFORMS, vol. 18(1), pages 122-140, February.
    • Handle: RePEc:inm:ormsom:v:18:y:2016:i:1:p:122-140
    DOI: 10.1287/msom.2015.0565
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    References listed on IDEAS

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    1. Ben-Ammar, Oussama & Dolgui, Alexandre & Wu, Desheng Dash, 2018. "Planned lead times optimization for multi-level assembly systems under uncertainties," Omega, Elsevier, vol. 78(C), pages 39-56.
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    3. Taher Ahmadi & Zümbül Atan & Ton de Kok & Ivo Adan, 2019. "Optimal control policies for an inventory system with commitment lead time," Naval Research Logistics (NRL), John Wiley & Sons, vol. 66(3), pages 193-212, April.
    4. Batur, Demet & Bekki, Jennifer M. & Chen, Xi, 2018. "Quantile regression metamodeling: Toward improved responsiveness in the high-tech electronics manufacturing industry," European Journal of Operational Research, Elsevier, vol. 264(1), pages 212-224.
    5. Liu, Liming & Xu, He & Zhu, Stuart X., 2020. "Push verse pull: Inventory-leadtime tradeoff for managing system variability," European Journal of Operational Research, Elsevier, vol. 287(1), pages 119-132.
    6. Jérémie Gallien & Alan Scheller-Wolf, 2016. "Introduction to the Special Issue on Practice-Focused Research," Manufacturing & Service Operations Management, INFORMS, vol. 18(1), pages 1-4, February.
    7. Marlin W. Ulmer & Barrett W. Thomas, 2019. "Enough Waiting for the Cable Guy—Estimating Arrival Times for Service Vehicle Routing," Transportation Science, INFORMS, vol. 53(3), pages 897-916, May.

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