Analysing the solution of production-inventory optimal control systems by neural networks
RAIRO - Operations Research - Recherche Opérationnelle, Tome 51 (2017) no. 3, pp. 577-590.

In this paper, a general production-inventory optimal control system is proposed which can be used in most cases that might arise in the theory of production-inventory control. The proposed general form is considered and approximately solved using neural networks. Since the obtained solutions are achieved based on neural networks, they have several advantages in practice. One of the important advantages is that the solutions can be easily used for post optimality and sensitivity analyses. The solutions of this model are compared with those of other existing methods and some illustrating notes are presented.

Reçu le :
Accepté le :
DOI : 10.1051/ro/2016044
Classification : 49J15, 90B05, 90B30
Mots clés : Optimal control, production planning, production-inventory systems, neural networks
Pooya, Alireza 1 ; Pakdaman, Morteza 2

1 Department of Management, Ferdowsi University of Mashhad, Mashhad, Iran.
2 Department of Applied Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran.
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Pooya, Alireza; Pakdaman, Morteza. Analysing the solution of production-inventory optimal control systems by neural networks. RAIRO - Operations Research - Recherche Opérationnelle, Tome 51 (2017) no. 3, pp. 577-590. doi : 10.1051/ro/2016044. http://archive.numdam.org/articles/10.1051/ro/2016044/

P. Aengchuan and B. Phruksaphanrat, Comparison of fuzzy inference system (FIS), FIS with artificial neural networks (FIS+ANN) and FIS with adaptive neuro-fuzzy inference system (FIS+ANFIS) for inventory control. J. Intell. Manufact. (2015) . | DOI

H.K. Alfares, Production-inventory system with finite production rate, stock-dependent demand, and variable holding cost. RAIRO: Oper. Res. 48 (2014) 135–150. | DOI | Numdam | MR | Zbl

L. Benkherouf, K. Skouri and I. Konstantaras, Optimal Control of Production, Remanufacturing and Refurbishing Activities in a Finite Planning Horizon Inventory System. J. Optim. Theory Appl. 30 (2015) | MR | Zbl

I. Dobos, Optimal production–inventory strategies for a HMMS-type reverse logistics system. Int. J. Prod. Econ. 81 (2003) 351–360. | DOI

S. Effati and M. Pakdaman, Artificial neural network approach for solving fuzzy differential equations. Inform. Sci. 180 (2010) 1434–1457. | DOI | MR | Zbl

S. Effati and M. Pakdaman, Optimal control problem via neural networks. Neural Comput. Appl. 23 (2013) 2093–2100. | DOI

A. Foul, S. Djemili and L. Tadj, Optimal and self-tuning optimal control of a periodic-review hybrid production inventory system. Nonlin. Anal.: Hybrid Systems 1 (2007) 68–80. | MR | Zbl

R. Hedjar, A.K. Garg and L. Tadj Model predictive production planning in a three-stock reverse-logistics system with deteriorating items. Int. J. Syst. Sci. 2 (2015) 187–198.

Y. Huang and H. Jiang, Neural network observer-based optimal control for unknown nonlinear systems with control constraints. IEEE 2015 International Joint Conference on Neural Networks (2015) 1–7.

K.-P. Kistner and I. Dobos, Optimal production-inventory strategies for a reverse logistics system. Optimization, Dynamics, and Economic Analysis. Physica-Verlag HD (2000). | MR | Zbl

B. Kiumarsi, F. Lewis and D. Levine, Optimal control of nonlinear discrete time-varying systems using a new neural network approximation structure. Neurocomputing 156 (2015) 157–165. | DOI

T. Kmet and M. Kmetova, Neural Networks Solution of Optimal Control Problems with Discrete Time Delays and Time-Dependent Learning of Infinitesimal Dynamic System. Springer Series in Bio-/Neuroinformatics 4 (2015) 315–332. | DOI | Zbl

I.E. Lagaris, A. Likas and D.I. Fotiadis, Artificial neural networks for solving ordinary and partial differential equations. IEEE Trans. Neural Net. 9 (1998) 987–1000. | DOI

Y.H. Lee, J.W. Jung, S.C. Eum, S.M. Park and H.K. Nam, Production quantity allocation for order fulfilment in the supply chain: a neural network based approach. Prod. Plan. Control 17 (2006) 378–389. | DOI

S. Li, Optimal control of the production – inventory system with deteriorating items and tradable emission permits. Int. J. Syst. Sci. 45 (2014) 2390–2401. | DOI | MR | Zbl

X. Pan and S. Li, Optimal control of a stochastic production – inventory system under deteriorating items and environmental constraints. Int. J. Prod. Res. 53 (2015) 607–628. | DOI

F.Y. Partovi and M. Anandarajan, Classifying inventory using an artificial neural network approach. Comput. Ind. Eng. 41 (2002) 389-404. | DOI

S.K. Paul and A. Azeem, An artificial neural network model for optimization of finished goods inventory. Int. J. Ind. Eng. Comput. 2 (2011) 431–438.

S.P. Sethi and G.L. Thompson, Optimal control theory applications to management science and economics, 2nd edition. Springer Science+Business Media, Inc. (2006). | MR | Zbl

N.H. Shah and A.S. Acharya, A time dependent deteriorating order level inventory model for exponentially declining demand. Appl. Math. Sci. 2 (2008) 2795–2802. | Zbl

L. Tadj, M. Bounkhel and Y. Benhadid, Optimal control of a production inventory system with deteriorating items. Int. J. Syst. Sci. 37 (2006) 1111–1121. | DOI | MR | Zbl

P. Thomas, A. Thomas and M.-C. Suhne, A neural network for the reduction of a product-driven system emulation model. Prod. Plan. Control 22 (2011) 767–781. | DOI

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