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Mathematical and Computer Modelling of Dynamical Systems
Methods, Tools and Applications in Engineering and Related Sciences
Volume 25, 2019 - Issue 5
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Original Articles

Nonlinear modeling and performance analysis of a closed-loop supply chain in the presence of stochastic noise

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Pages 499-521 | Received 31 Dec 2018, Accepted 02 Sep 2019, Published online: 17 Sep 2019

References

  • B. Agaran, W.W. Buchanan, and M.K. Yurtseven, Regulating bullwhip effect in supply chain through modern control theory, IEEE Conference, USA, 2007.
  • L. Beamon and M. Benita, Supply chain design and analysis: models and method, Int. J. Prod. Econ. 55 (1998), pp. 281–294. doi:10.1016/S0925-5273(98)00079-6.
  • L. Pin-Ho, D. Shan-Hill, and J.S. Shang, Controller design and reduction of bullwhip for a model supply chain system using z-transform analysis, J. Process Control 14 (2004), pp. 487–499. doi:10.1016/j.jprocont.2003.09.005.
  • J. Dejonckheere, S. Disney, M.R. Lambrecht, and D.R. Towill, Measuring and avoiding the bullwhip effect: a control theoretic approach, Eur. J. Oper. Res. 147 (2003), pp. 567–590. doi:10.1016/S0377-2217(02)00369-7.
  • F.M. Asif, C.A. Bianchi, N. Rashid, and C.M. Niclescu, Performance analysis of the closed loop supply chain, J. Remanuf. 2 (1) (2012), pp. 1–21. doi:10.1186/2210-4690-2-4.
  • N. Gao and S.M. Ryan, Robust design of a closed loop supply chain network for uncertain carbon regulations and random product flow, Euro. J. Transport. Logist. 3 (1) (2014), pp. 5–34. doi:10.1007/s13676-014-0043-7.
  • F. Chen, Z. Drezner, J. Ryan, and D. Simchi-levi, Quantifying the bullwhip effect in a simple supply chain: the impact of forecasting, lead time, and information, Manage. sci. 46 (2000), pp. 436–443. doi:10.1287/mnsc.46.3.436.12069.
  • J. Geunes, H.E. Romeijin, and K. Taaffe, Model for integrated production planning and order selection. Industrial Engineering Research Conference, IERC, Orlando, 2002.
  • P.H. Zipkin, Foundations of Inventory Management, Mc Graw-Hill, New York, 2000.
  • G.F. Franklin, J.D. Powell, and A. Emami, Feedback Control of Dynamic Systems, 4th ed., Prentice - Hall, New jersey, 2002.
  • N.S. Nise, Control Systems Engineering, 3rd ed., John Wiley and Sons, Ins., New York, 2000.
  • S. Benett, A brief history of automatic control, IEEE Control Syst. Mag. 16 (1996), pp. 17–25. doi:10.1109/37.506394.
  • H.A. Simon, On the application of servomechanism theory in a study of production control, Econometrica 20 (1952), pp. 247–268. doi:10.2307/1907849.
  • H.J. Vassian, Application of discrete variable servo theory to inventory control, Oper. Res. 3 (1955), pp. 272–282.
  • U. Meyer and M.P. Groover, Multi echelon inventory systems using continuous systems analysis and simulation, AIIE Trans. 4 (1972), pp. 318–327. doi:10.1080/05695557208974869.
  • J.F. Burns and B.D. Sivaslian, Dynamic analysis of multi-echelon supply systems, Comput. Ind. Eng. 2 (1978), pp. 181–193. doi:10.1016/0360-8352(78)90010-4.
  • S. John, M.M. Naim, and D.R. Towill, Dynamic analysis of a WIP compensated decision support system, Int. J. Manuf. Syst. Des 1 (1994), pp. 283–297.
  • J. Dejonckheere, S.M. Disney, M.R. Lambrecht, and D.R. Towill, The impact of information enrichment on a bullwhip effect in supply chain: a control engineering perspective, Eur. J. Oper. Res. 153 (2004), pp. 727–750. doi:10.1016/S0377-2217(02)00808-1.
  • S.M. Disney and D.R. Towill, On the bullwhip and the inventory variance produced by an ordering policy, Omega 31 (2003), pp. 157–167. doi:10.1016/S0305-0483(03)00028-8.
  • P. Ignaciuk and A. Bartoszewicz, Linear - quadratic optimal control of periodic-review perishable inventory systems, IEEE Trans. Control Syst. Technol. 20 (5) (2012). doi:10.1109/TCST.2011.2161086
  • S. Chandra, S.,.M. Lalwani, D.R. Disney, and L. Towill, Controllable, observable and stable state space representation of generalized order-up-to policy, Int. J. Prod. Econ. 101 (2006), pp. 172–184. doi:10.1016/j.ijpe.2005.05.014.
  • F. Dongfei, I. Clara, A. El-Houssaine, and K. Robin, Quantifying and mitigating the bullwhip effect in a benchmark supply chain system by an extended prediction self-adaptive control ordering policy, Comput. Ind. Eng. 81 (2015), pp. 46–57. doi:10.1016/j.cie.2014.12.024.
  • W.C. Li, Y. Jing, W. Wang, and L. Deng, Dynamic model and robust H infinity control of remanufacturing system whit hybrid recycling channels, Syst. Eng. 30 (2012), pp. 51–56.
  • Y.Y. Yi and J.M. Liang, Hybrid recycling modes for closed loop supply chain under premium and penalty mechanism, Comput. Int. Manuf. Sys. 20 (2014), pp. 215–223.
  • X.P. Hang, Z.J. Wang, and H.G. Zhang, Decision models of closed loop supply chain with remanufacturing under hybrid dual-channel collection, Int. J. Adv. Manuf. Techol. 68 (5–8) (2013), pp. 1851–1865. doi:10.1007/s00170-013-4982-1.
  • S.T. Zhang and X.W. Zhao, Fuzzy robust control for an uncertain switched dual-channel closed loop supply chain model, IEEE Trans. Fuzzy Sys. 23 (2015), pp. 485–500. doi:10.1109/TFUZZ.2014.2315659.
  • Z.H. Xiu and G. Ren, Stability analysis and systematic design of T-S fuzzy control system, Fuzzy Sets Syst. 151 (2005), pp. 119–138. doi:10.1016/j.fss.2004.04.008.
  • S. Zhang, X. Li, and C. Zhang, A fuzzy control model for restrain of bullwhip effect in uncertain closed loop supply chain whit hybrid recycling channels, Trans. Fuzzy Syst. 25 (2016), pp. 457–482.
  • M. Goodarzi and R. Farzipoor, How to measure bullwhip effect by network data envelopment analysis? J. Comput. Ind. Eng. (2018). doi:10.1016/j.cie.2018.09.046.
  • K. Govindan, M. Fattahi, and E. Keyvanshokooh, Supply chain network design under uncertainty: a comprehensive review and future research directions, J. Eur. J. Oper. Res. (2017). doi:10.1016/j.ejor.2017.04.009.
  • P. Ignaciuk and A. Bartoszewicz, LQ optimal sliding mode supply policy for periodic review inventory systems, IEEE Trans. Autom. Control 55 (1) (2010), pp. 269–274. doi:10.1109/TAC.2009.2036305.
  • P. LeVniewski and A. Bartoszewicz, LQ optimal sliding mode control of periodic review perishable inventories with transportation losses, Math. Prob. Eng. (2013), pp. 1–9. Article ID 325274. doi:10.1155/2013/325274.
  • A. Bartoszewicz and P. Latosi´nski, Sliding mode control of inventory management systems with bounded batch size, J. Appl. Math. Model. (2018). doi:10.1016/j.apm.2018.09.010.
  • L. Wandong, M. Junhai, and Z. Xueli, Bullwhip entropy analysis and chaos control in the supply chain with sales game and consumer returns, Entropy 64 (2017), pp. 1–19.
  • S. Torabi, A. Morteza, and M. Moghadam, Provide a new approach to decision-making on demand management and production planning, Ind. Eng. J. Iran 45 (2011), pp. 31–44.
  • T. Li and J. Ma, Complexity analysis of the dual-channel supply chain model with delay decision, Nonlinear Dyn. 78 (2014), pp. 2617–2626. doi:10.1007/s11071-014-1613-9.
  • X. Wang and S.M. Disney, Mitigating variance amplification under stochastic lead-time: the proportional control approach, Eur. J. Oper. Res. 256 (1) (2017), pp. 151–162. doi:10.1016/j.ejor.2016.06.010.
  • J. Hartikainen, A. Solin, and S. Särkka, Optimal Filtering with Kalman Filters and Smoothers, Department of Biomedical Engineering and Computational Science, Aalto University School of Science, Finland, 2011.
  • D.E. Krik, Optimal Control Theory, Prentice-Hall, Englewood Cliffs New Jersey, 1990.
  • D. Gao, N. Wang, Z. He, and T. Jia, The bullwhip effect in an online retail supply chain: a perspective of price-sensitive demand based on the price discount in ecommerce, IEEE Trans. Eng. Manage. 64 (2) (2017), pp. 134–148. doi:10.1109/TEM.2017.2666265.
  • C.H. Nagaraja and T. McElroy, The multivariate bullwhip effect, Eur. J. Oper. Res. 267 (1) (2018), pp. 96–106. doi:10.1016/j.ejor.2017.11.015.

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