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Production planning with resources subject to congestion

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  • Jakob Asmundsson
  • Ronald L. Rardin
  • Can Hulusi Turkseven
  • Reha Uzsoy

Abstract

A fundamental difficulty in developing effective production planning models has been accurately reflecting the nonlinear dependency between workload and lead times. We develop a mathematical programming model for production planning in multiproduct, single stage systems that captures the nonlinear dependency between workload and lead times. We then use outer linearization of this nonlinear model to obtain a linear programming formulation and extend it to multistage systems. Extensive computational experiments validate the approach and compare its results to conventional models that assume workload‐independent planning lead times. © 2009 Wiley Periodicals, Inc. Naval Research Logistics, 2009

Suggested Citation

  • 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.
    • Handle: RePEc:wly:navres:v:56:y:2009:i:2:p:142-157
    DOI: 10.1002/nav.20335
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    References listed on IDEAS

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    Cited by:

    1. 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).
    2. 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.
    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. Manda, A.B. & Uzsoy, Reha, 2021. "Managing product transitions with learning and congestion effects," International Journal of Production Economics, Elsevier, vol. 239(C).
    5. Пигнастый, Олег, 2014. "Основы Статистической Теории Построения Континуальных Моделей Производственных Линий [Fundamentals Of The Statistical Theory Of The Construction Of Continuum Models Of Production Lines]," MPRA Paper 95240, University Library of Munich, Germany, revised 20 Aug 2014.
    6. Wen-Hsien Tsai & Yin-Hwa Lu, 2018. "A Framework of Production Planning and Control with Carbon Tax under Industry 4.0," Sustainability, MDPI, vol. 10(9), pages 1-24, September.
    7. Uday Venkatadri & Shentao Wang & Ashok Srinivasan, 2021. "A Model for Demand Planning in Supply Chains with Congestion Effects," Logistics, MDPI, vol. 5(1), pages 1-24, January.

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