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Exact and approximate solution for optimal inventory control of two-stock with reworking and forecasting of demand

Author

Listed:
  • Alireza Pooya

    (Ferdowsi University of Mashhad)

  • Morteza Pakdaman

    (Ferdowsi University of Mashhad)

  • Lotfi Tadj

    (Fairleigh Dickinson University)

Abstract

The aim of this paper is to describe a new optimal control model for optimal inventory control along with reworking items and forecasting the demand. The proposed model contains two stocks, one for serviceable products and one for returned products. The dynamic of the proposed system includes forecasting the demand and also the production planning. The exact analytical solution of the proposed optimal control model is obtained. Also the ability of neural networks to approximate the exact solution is examined, when the analytical solution maybe difficult to calculate. Numerical simulations are provided to illustrate the treatment of proposed model.

Suggested Citation

  • Alireza Pooya & Morteza Pakdaman & Lotfi Tadj, 2019. "Exact and approximate solution for optimal inventory control of two-stock with reworking and forecasting of demand," Operational Research, Springer, vol. 19(2), pages 333-346, June.
    • Handle: RePEc:spr:operea:v:19:y:2019:i:2:d:10.1007_s12351-017-0297-6
    DOI: 10.1007/s12351-017-0297-6
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    References listed on IDEAS

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    1. Steven Nahmias, 1982. "Perishable Inventory Theory: A Review," Operations Research, INFORMS, vol. 30(4), pages 680-708, August.
    2. Abdelhak Mezghiche & Mustapha Moulaï & Lotfi Tadj, 2015. "Model Predictive Control of a Forecasting Production System with Deteriorating Items," International Journal of Operations Research and Information Systems (IJORIS), IGI Global, vol. 6(4), pages 19-37, October.
    3. Goyal, S. K. & Giri, B. C., 2001. "Recent trends in modeling of deteriorating inventory," European Journal of Operational Research, Elsevier, vol. 134(1), pages 1-16, October.
    4. B. C. Giri & S. Sharma, 2016. "Optimal ordering policy for an inventory system with linearly increasing demand and allowable shortages under two levels trade credit financing," Operational Research, Springer, vol. 16(1), pages 25-50, April.
    5. A. Foul & L. Tadj, 2007. "Optimal control of a hybrid periodic-review production inventory system with disposal," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 2(4), pages 481-494.
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    Cited by:

    1. Makridakis, Spyros & Spiliotis, Evangelos & Assimakopoulos, Vassilios, 2022. "Predicting/hypothesizing the findings of the M5 competition," International Journal of Forecasting, Elsevier, vol. 38(4), pages 1337-1345.
    2. Mostafa Parsa & Ali Shahandeh Nookabadi & Zümbül Atan & Yaser Malekian, 2022. "An optimal inventory policy for a multi-echelon closed-loop supply chain of postconsumer recycled content products," Operational Research, Springer, vol. 22(3), pages 1887-1938, July.
    3. Evangelos Spiliotis & Spyros Makridakis & Artemios-Anargyros Semenoglou & Vassilios Assimakopoulos, 2022. "Comparison of statistical and machine learning methods for daily SKU demand forecasting," Operational Research, Springer, vol. 22(3), pages 3037-3061, July.
    4. Makridakis, Spyros & Spiliotis, Evangelos & Assimakopoulos, Vassilios, 2022. "M5 accuracy competition: Results, findings, and conclusions," International Journal of Forecasting, Elsevier, vol. 38(4), pages 1346-1364.
    5. Kolassa, Stephan, 2022. "Commentary on the M5 forecasting competition," International Journal of Forecasting, Elsevier, vol. 38(4), pages 1562-1568.
    6. Makridakis, Spyros & Spiliotis, Evangelos & Assimakopoulos, Vassilios, 2022. "The M5 competition: Background, organization, and implementation," International Journal of Forecasting, Elsevier, vol. 38(4), pages 1325-1336.
    7. Theodorou, Evangelos & Wang, Shengjie & Kang, Yanfei & Spiliotis, Evangelos & Makridakis, Spyros & Assimakopoulos, Vassilios, 2022. "Exploring the representativeness of the M5 competition data," International Journal of Forecasting, Elsevier, vol. 38(4), pages 1500-1506.

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