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Setting optimal production lot sizes and planned lead times in a job shop

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  • Rong Yuan
  • Stephen C. Graves

Abstract

In this research, we model a job shop that produces a set of discrete parts in a make-to-stock setting. The intent of the research is to develop a planning model to determine the optimal tactical policies that minimise the relevant manufacturing costs subject to workload variability and capacity limits. We consider two tactical decisions, namely the production lot size for each part and the planned lead time for each work station. We model the relevant manufacturing costs, entailing production overtime costs and inventory-related costs, as functions of these tactical decisions. We formulate a non-linear optimisation model and implement it in the Excel spreadsheet. We test the model with actual factory data from our research sponsor. The results are consistent with our intuition and demonstrate the potential value from jointly optimising over these tactical policies.

Suggested Citation

  • Rong Yuan & Stephen C. Graves, 2016. "Setting optimal production lot sizes and planned lead times in a job shop," International Journal of Production Research, Taylor & Francis Journals, vol. 54(20), pages 6105-6120, October.
    • Handle: RePEc:taf:tprsxx:v:54:y:2016:i:20:p:6105-6120
    DOI: 10.1080/00207543.2015.1073859
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    References listed on IDEAS

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    1. Vaughan, Timothy S., 2006. "Lot size effects on process lead time, lead time demand, and safety stock," International Journal of Production Economics, Elsevier, vol. 100(1), pages 1-9, March.
    2. Chee-Chong Teo & Rohit Bhatnagar & Stephen Graves, 2011. "Setting planned lead times for a make-to-order production system with master schedule smoothing," IISE Transactions, Taylor & Francis Journals, vol. 43(6), pages 399-414.
    3. Carson E. Agnew, 1976. "Dynamic Modeling and Control of Congestion-Prone Systems," Operations Research, INFORMS, vol. 24(3), pages 400-419, June.
    4. John S. Hollywood, 2005. "An approximate planning model for distributed computing networks," Naval Research Logistics (NRL), John Wiley & Sons, vol. 52(6), pages 590-605, September.
    5. Lambrecht, Marc R. & Vandaele, Nico J., 1996. "A general approximation for the single product lot sizing model with queueing delays," European Journal of Operational Research, Elsevier, vol. 95(1), pages 73-88, November.
    6. Stephen C. Graves & David B. Kletter & William B. Hetzel, 1998. "A Dynamic Model for Requirements Planning with Application to Supply Chain Optimization," Operations Research, INFORMS, vol. 46(3-supplem), pages 35-49, June.
    7. Stephen C. Graves, 1986. "A Tactical Planning Model for a Job Shop," Operations Research, INFORMS, vol. 34(4), pages 522-533, August.
    8. Linguo Gong & Ton de Kok & Jie Ding, 1994. "Optimal Leadtimes Planning in a Serial Production System," Management Science, INFORMS, vol. 40(5), pages 629-632, May.
    9. Tielemans, Peter F. J. & Kuik, Roelof, 1996. "An exploration of models that minimize leadtime through batching of arrived orders," European Journal of Operational Research, Elsevier, vol. 95(2), pages 374-389, December.
    10. Candace Arai Yano, 1987. "Setting Planned Leadtimes in Serial Production Systems with Tardiness Costs," Management Science, INFORMS, vol. 33(1), pages 95-106, January.
    11. Uday S. Karmarkar, 1987. "Lot Sizes, Lead Times and In-Process Inventories," Management Science, INFORMS, vol. 33(3), pages 409-418, March.
    12. Allan B. Cruickshanks & Robert D. Drescher & Stephen C. Graves, 1984. "A Study of Production Smoothing in a Job Shop Environment," Management Science, INFORMS, vol. 30(3), pages 368-380, March.
    13. Matsuura, Haruki & Tsubone, Hitoshi & Kanezashi, Masakazu, 1996. "Setting planned lead times for multi-operation jobs," European Journal of Operational Research, Elsevier, vol. 88(2), pages 287-303, January.
    14. Uday S. Karmarkar & Sham Kekre & Sunder Kekre & Susan Freeman, 1985. "Lot-Sizing and Lead-time Performance in a Manufacturing Cell," Interfaces, INFORMS, vol. 15(2), pages 1-9, April.
    15. Paul H. Zipkin, 1986. "Models for Design and Control of Stochastic, Multi-Item Batch Production Systems," Operations Research, INFORMS, vol. 34(1), pages 91-104, February.
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