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A General Framework for Modeling Production

Author

Listed:
  • Steven T. Hackman

    (School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332)

  • Robert C. Leachman

    (Engineering Systems Research Center, University of California, Berkeley, California 94720)

Abstract

We introduce a general framework that guides the management scientist's formulation of deterministic models of production processes. Using the framework, we reformulate the constraints of familiar linear programming-based planning models to specifically treat components of production lead time, thereby realizing a more accurate representation of the production process. In addition, the reformulation accommodates noninteger values for lead times as well as unequal-length planning periods. Manufacturing Resources Planning (MRP) and the Critical Path Method (CPM) are recast in terms of the framework, revealing opportunities for model generalization and extension, and their relationship to linear programming models.

Suggested Citation

  • Steven T. Hackman & Robert C. Leachman, 1989. "A General Framework for Modeling Production," Management Science, INFORMS, vol. 35(4), pages 478-495, April.
    • Handle: RePEc:inm:ormnsc:v:35:y:1989:i:4:p:478-495
    DOI: 10.1287/mnsc.35.4.478
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    Citations

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    Cited by:

    1. Missbauer, Hubert, 2011. "Order release planning with clearing functions: A queueing-theoretical analysis of the clearing function concept," International Journal of Production Economics, Elsevier, vol. 131(1), pages 399-406, May.
    2. Haeussler, S. & Stampfer, C. & Missbauer, H., 2020. "Comparison of two optimization based order release models with fixed and variable lead times," International Journal of Production Economics, Elsevier, vol. 227(C).
    3. Ghadimi, Foad & Aouam, Tarik & Haeussler, Stefan & Uzsoy, Reha, 2022. "Integrated and hierarchical systems for coordinating order acceptance and release planning," European Journal of Operational Research, Elsevier, vol. 303(3), pages 1277-1289.
    4. Craig A. Tovey, 2002. "Tutorial on Computational Complexity," Interfaces, INFORMS, vol. 32(3), pages 30-61, June.
    5. Cherchye, Laurens & De Rock, Bram & Kerstens, Pieter Jan, 2018. "Production with storable and durable inputs: Nonparametric analysis of intertemporal efficiency," European Journal of Operational Research, Elsevier, vol. 270(2), pages 498-513.
    6. O'Hara, Sabine U., 1997. "Toward a sustaining production theory," Ecological Economics, Elsevier, vol. 20(2), pages 141-154, February.
    7. Kefeli, Ali & Uzsoy, Reha & Fathi, Yahya & Kay, Michael, 2011. "Using a mathematical programming model to examine the marginal price of capacitated resources," International Journal of Production Economics, Elsevier, vol. 131(1), pages 383-391, May.
    8. Pecchioli, Bruno & Moroz, David, 2023. "Do geographical appellations provide useful quality signals? The case of Scotch single malt whiskies," Economic Modelling, Elsevier, vol. 124(C).
    9. Durango-Cohen, Pablo L. & McKenzie, Elaine C., 2018. "Trading off costs, environmental impact, and levels of service in the optimal design of transit bus fleets," Transportation Research Part A: Policy and Practice, Elsevier, vol. 114(PB), pages 354-363.
    10. Chatterjee A K & Mukherjee, Saral, 2006. "Unified Concept of Bottleneck," IIMA Working Papers WP2006-05-01, Indian Institute of Management Ahmedabad, Research and Publication Department.
    11. Jakob Asmundsson & Ronald L. Rardin & Can Hulusi Turkseven & Reha Uzsoy, 2009. "Production planning with resources subject to congestion," Naval Research Logistics (NRL), John Wiley & Sons, vol. 56(2), pages 142-157, March.
    12. Leachman, Robert C. & Johnston, Lenrick & Li, Shan & Shen, Zuo-Jun, 2014. "An automated planning engine for biopharmaceutical production," European Journal of Operational Research, Elsevier, vol. 238(1), pages 327-338.
    13. Dubaniowski, Mateusz Iwo & Heinimann, Hans Rudolf, 2020. "A framework for modeling interdependencies among households, businesses, and infrastructure systems; and their response to disruptions," Reliability Engineering and System Safety, Elsevier, vol. 203(C).
    14. Gopalswamy, Karthick & Uzsoy, Reha, 2021. "Conic programming models for production planning with clearing functions: Formulations and duality," European Journal of Operational Research, Elsevier, vol. 292(3), pages 953-966.
    15. Pürgstaller, Peter & Missbauer, Hubert, 2012. "Rule-based vs. optimisation-based order release in workload control: A simulation study of a MTO manufacturer," International Journal of Production Economics, Elsevier, vol. 140(2), pages 670-680.
    16. Phillip O. Kriett & Sebastian Eirich & Martin Grunow, 2017. "Cycle time-oriented mid-term production planning for semiconductor wafer fabrication," International Journal of Production Research, Taylor & Francis Journals, vol. 55(16), pages 4662-4679, August.
    17. Julia Pahl & Stefan Voß & David Woodruff, 2007. "Production planning with load dependent lead times: an update of research," Annals of Operations Research, Springer, vol. 153(1), pages 297-345, September.

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