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An iterative approach to item-level tactical production and inventory planning

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  • Tian, Feng
  • Willems, Sean P.
  • Kempf, Karl G.

Abstract

In this paper, we propose an iterative approach to jointly solve the problems of tactical safety stock placement and tactical production planning. These problems have traditionally been solved in isolation, even though both problems operate in the same decision making space and the outputs of one naturally serve as the inputs to the other. For simple supply chain network structures, two stages and one or many products, we provide sufficient conditions to guarantee the iteration algorithm's termination. Through examples, we show how the algorithm works and prove its applicability on a realistic industrial-scale problem.

Suggested Citation

  • Tian, Feng & Willems, Sean P. & Kempf, Karl G., 2011. "An iterative approach to item-level tactical production and inventory planning," International Journal of Production Economics, Elsevier, vol. 133(1), pages 439-450, September.
  • Handle: RePEc:eee:proeco:v:133:y:2011:i:1:p:439-450
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    1. Spitter, J. M. & Hurkens, C. A. J. & de Kok, A. G. & Lenstra, J. K. & Negenman, E. G., 2005. "Linear programming models with planned lead times for supply chain operations planning," European Journal of Operational Research, Elsevier, vol. 163(3), pages 706-720, June.
    2. Peter J. Billington & John O. McClain & L. Joseph Thomas, 1983. "Mathematical Programming Approaches to Capacity-Constrained MRP Systems: Review, Formulation and Problem Reduction," Management Science, INFORMS, vol. 29(10), pages 1126-1141, October.
    3. John M. Bossert & Sean P. Willems, 2007. "A Periodic-Review Modeling Approach for Guaranteed Service Supply Chains," Interfaces, INFORMS, vol. 37(5), pages 420-436, October.
    4. Gfrerer, Helmut & Zapfel, Gunther, 1995. "Hierarchical model for production planning in the case of uncertain demand," European Journal of Operational Research, Elsevier, vol. 86(1), pages 142-161, October.
    5. James R. Bradley & Bruce C. Arntzen, 1999. "The Simultaneous Planning of Production, Capacity, and Inventory in Seasonal Demand Environments," Operations Research, INFORMS, vol. 47(6), pages 795-806, December.
    6. Fleischmann, B. & Meyr, H., 2003. "Planning Hierarchy, Modeling and Advanced Planning Systems," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 36714, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    7. Jornsten, Kurt & Leisten, Rainer, 1995. "Decomposition and iterative aggregation in hierarchical and decentralised planning structures," European Journal of Operational Research, Elsevier, vol. 86(1), pages 120-141, October.
    8. Byrne, M. D. & Bakir, M. A., 1999. "Production planning using a hybrid simulation - analytical approach," International Journal of Production Economics, Elsevier, vol. 59(1-3), pages 305-311, March.
    9. Gabriel R. Bitran & Elizabeth A. Haas & Arnoldo C. Hax, 1981. "Hierarchical Production Planning: A Single Stage System," Operations Research, INFORMS, vol. 29(4), pages 717-743, August.
    10. Kim, Bokang & Kim, Sooyoung, 2001. "Extended model for a hybrid production planning approach," International Journal of Production Economics, Elsevier, vol. 73(2), pages 165-173, September.
    11. Fandel, Gunter & Stammen-Hegene, Cathrin, 2006. "Simultaneous lot sizing and scheduling for multi-product multi-level production," International Journal of Production Economics, Elsevier, vol. 104(2), pages 308-316, December.
    12. William Maxwell & John A. Muckstadt & L. Joseph Thomas & Jacques Vander Eecken, 1983. "A Modeling Framework for Planning and Control of Production in Discrete Parts Manufacturing and Assembly Systems," Interfaces, INFORMS, vol. 13(6), pages 92-104, December.
    13. Gabriel R. Bitran & Elizabeth A. Haas & Arnoldo C. Hax, 1982. "Hierarchical Production Planning: A Two-Stage System," Operations Research, INFORMS, vol. 30(2), pages 232-251, April.
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    Cited by:

    1. Steffen T. Klosterhalfen & Stefan Minner & Sean P. Willems, 2014. "Strategic Safety Stock Placement in Supply Networks with Static Dual Supply," Manufacturing & Service Operations Management, INFORMS, vol. 16(2), pages 204-219, May.
    2. de Kok, Ton & Grob, Christopher & Laumanns, Marco & Minner, Stefan & Rambau, Jörg & Schade, Konrad, 2018. "A typology and literature review on stochastic multi-echelon inventory models," European Journal of Operational Research, Elsevier, vol. 269(3), pages 955-983.
    3. Kumar, Kunal & Aouam, Tarik, 2019. "Extending the strategic safety stock placement model to consider tactical production smoothing," European Journal of Operational Research, Elsevier, vol. 279(2), pages 429-448.
    4. Barros, Júlio & Cortez, Paulo & Carvalho, M. Sameiro, 2021. "A systematic literature review about dimensioning safety stock under uncertainties and risks in the procurement process," Operations Research Perspectives, Elsevier, vol. 8(C).
    5. Grace Hua, N. & Willems, Sean P., 2016. "Analytical insights into two-stage serial line supply chain safety stock," International Journal of Production Economics, Elsevier, vol. 181(PA), pages 107-112.
    6. Pihnastyi, Oleh & Yemelianova, Daria & Lysytsia, Dmytro, 2020. "Using PDE-model and system dynamics model for describing multi-operation production lines," MPRA Paper 103975, University Library of Munich, Germany, revised 31 Aug 2020.
    7. Sanei Bajgiran, Omid & Kazemi Zanjani, Masoumeh & Nourelfath, Mustapha, 2016. "The value of integrated tactical planning optimization in the lumber supply chain," International Journal of Production Economics, Elsevier, vol. 171(P1), pages 22-33.
    8. Пигнастый, Олег & Pihnastyi, Oleh, 2016. "Балансовые Уравнения Двухуровневой Модели Описания Производственной Поточной Линии [Equation of balance for the two-level description of the manufacturing production line]," MPRA Paper 112901, University Library of Munich, Germany.
    9. Brian Wieland & Pat Mastrantonio & Sean P. Willems & Karl G. Kempf, 2012. "Optimizing Inventory Levels Within Intel's Channel Supply Demand Operations," Interfaces, INFORMS, vol. 42(6), pages 517-527, December.
    10. Пигнастый, Олег, 2015. "Обзор Моделей Управляемых Производственных Процессов Поточных Линий Производственных Систем [Overview of models of controlled production processes of production line production lines]," MPRA Paper 93413, University Library of Munich, Germany, revised 04 Mar 2015.
    11. Пигнастый, Олег & Koжевников, Георгий, 2019. "Дискретно-Событийная Модель Расчета Продолжительного Производственного Цикла Изготовления Партии Деталей [Discrete-Eventing Model Of Calculation Of The Duration Of The Production Cycle Of Manufactu," MPRA Paper 94898, University Library of Munich, Germany, revised 02 Jul 2019.
    12. Пигнастый, Олег & Ходусов, Валерий, 2015. "Использование Кинетической Теории Для Исследования Колебаний Потоковых Параметров Производственной Линии [Using the kinetic theory for the study of vibrations streaming parameters of the production," MPRA Paper 93657, University Library of Munich, Germany, revised 09 Jun 2015.
    13. 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.
    14. Pihnastyi, Oleh & Korsun, Roman, 2016. "The construction a kinetic equation of the production process," MPRA Paper 92073, University Library of Munich, Germany, revised 19 Mar 2016.
    15. Пигнастый, Олег, 2017. "Дискретно-Событийная Модель Производственной Линии [Discrete-event model of the production line]," MPRA Paper 113648, University Library of Munich, Germany, revised 2017.
    16. Пигнастый, Олег, 2015. "О Выводе Кинетического Уравнения Производственного Процесса [Derivation of kinetic equations of the production process]," MPRA Paper 93529, University Library of Munich, Germany, revised 07 Aug 2015.
    17. Eruguz, Ayse Sena & Sahin, Evren & Jemai, Zied & Dallery, Yves, 2016. "A comprehensive survey of guaranteed-service models for multi-echelon inventory optimization," International Journal of Production Economics, Elsevier, vol. 172(C), pages 110-125.
    18. Pihnastyi, Oleh, 2019. "Optimal Control of the Parameters of the Production Line," MPRA Paper 92495, University Library of Munich, Germany, revised 02 Feb 2019.

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