References
- Anne, K. R., J. C. Chedjou, and K. Kyamakya. 2009. “Bifurcation Analysis and Synchronisation Issues in a Three-Echelon Supply Chain.” International Journal of Logistics Research and Applications 12 (5): 347–362. doi: 10.1080/13675560903181527
- Babaei, A. R., M. Malekzadeh, and D. Madhkhan. 2019. “A New Trenching System for Adaptive Super-Twisting Sliding Mode Control of 6-DOF Nonlinear and Uncertain Air Vehicle.” Aerospace Science and Technology 84: 361–374. doi: 10.1016/j.ast.2018.09.013
- Dolgui, A., D. Ivanov, S. P. Sethi, and B. Sokolov. 2019. “Scheduling in Production, Supply Chain and Industry 4.0 Systems by Optimal Control: Fundamentals, State-of-the-Art and Applications.” International Journal of Production Research 57 (2): 411–432. doi: 10.1080/00207543.2018.1442948
- Forrester, J. W. 1961. Industrial Dynamics. Boston, MA: MIT Press.
- Göksu, A., U. E. Kocamaz, and Y. Uyaroğlu. 2015. “Synchronization and Control of Chaos in Supply Chain Management.” Computers & Industrial Engineering 86: 107–115. doi: 10.1016/j.cie.2014.09.025
- Hajipour, A., M. Hajipour, and D. Baleanu. 2018. “On the Adaptive Sliding Mode Controller for a Hyperchaotic Fractional-Order Financial System.” Physica A: Statistical Mechanics and Its Applications 497: 139–153. doi: 10.1016/j.physa.2018.01.019
- Hosseini, S., D. Ivanov, and A. Dolgui. 2019. “Ripple Effect Modelling of Supplier Disruption: Integrated Markov Chain and Dynamic Bayesian Network Approach.” International Journal of Production Research 1–20. doi:10.1080/00207543.2019.1661538.
- Huang, X. Y., N. N. Yan, and H. F. Guo. 2007. “An H∞ Control Method of the Bullwhip Effect for a Class of Supply Chain System.” International Journal of Production Research 45 (1): 207–226. doi:10.1080/00207540600678912.
- Ivanov, D., A. Dolgui, and B. Sokolov. 2012. “Applicability of Optimal Control Theory to Adaptive Supply Chain Planning and Scheduling.” Annual Reviews in Control 36 (1): 73–84. doi: 10.1016/j.arcontrol.2012.03.006
- Ivanov, D., A. Dolgui, B. Sokolov, F. Werner, and M. Ivanova. 2016. “A Dynamic Model and an Algorithm for Short-Term Supply Chain Scheduling in the Smart Factory Industry 4.0.” International Journal of Production Research 54 (2): 386–402. doi: 10.1080/00207543.2014.999958
- Ivanov, D., S. Sethi, A. Dolgui, and B. Sokolov. 2018. “A Survey on Control Theory Applications to Operational Systems, Supply Chain Management, and Industry 4.0.” Annual Reviews in Control 46: 134–147. doi: 10.1016/j.arcontrol.2018.10.014
- Kocamaz, U. E., H. Taşkın, Y. Uyaroğlu, and A. Göksu. 2016. “Control and Synchronization of Chaotic Supply Chains Using Intelligent Approaches.” Computers & Industrial Engineering 102: 476–487. doi: 10.1016/j.cie.2016.03.014
- Lin, W. J., Z. B. Jiang, R. Liu, and L. Wang. 2014. “The Bullwhip Effect in Hybrid Supply Chain.” International Journal of Production Research 52 (7): 2062–2084. doi: 10.1080/00207543.2013.849013
- Maiyar, L. M., and J. J. Thakkar. 2019. “Robust Optimisation of Sustainable Food Grain Transportation with Uncertain Supply and Intentional Disruptions.” International Journal of Production Research 1–25. doi:10.1080/00207543.2019.1656836.
- Mondal, S. 2019. “A New Supply Chain Model and Its Synchronization Behaviour.” Chaos, Solitons & Fractals 123: 140–148. doi: 10.1016/j.chaos.2019.03.027
- Nav, H. N., M. R. Jahedmotlagh, and A. Makui. 2017. “Robust H∞ Control for Chaotic Supply Chain Networks.” Turkish Journal of Electrical Engineering & Computer Sciences 25 (5): 3623–3636.
- Ortega, M., and L. Lin. 2004. “Control Theory Applications to the Production–Inventory Problem: A Review.” International Journal of Production Research 42 (11): 2303–2322. doi: 10.1080/00207540410001666260
- Schwartz, J. D., and D. E. Rivera. 2010. “A Process Control Approach to Tactical Inventory Management in Production-Inventory Systems.” International Journal of Production Economics 125 (1): 111–124. doi: 10.1016/j.ijpe.2010.01.011
- Shtessel, Y. B., C. Edwards, L. M. Fridman, and A. Levant. 2014. Sliding Mode Control and Observation. New York: Birkhauser.
- Shtessel, Y. B., J. A. Moreno, and L. M. Fridman. 2017. “Twisting Sliding Mode Control with Adaptation: Lyapunov Design, Methodology and Application.” Automatica 75: 229–235. doi: 10.1016/j.automatica.2016.09.004
- Shtessel, Y., M. Taleb, and F. Plestan. 2012. “A Novel Adaptive-Gain Supertwisting Sliding Mode Controller: Methodology and Application.” Automatica 48 (5): 759–769. doi: 10.1016/j.automatica.2012.02.024
- Simchi-Levi, D., P. Kaminsky, E. Simchi-Levi, and R. Shankar. 2008. Designing and Managing the Supply Chain: Concepts, Strategies and Case Studies. Boston, MA: Tata McGraw-Hill Education.
- Spiegler, V. L., M. M. Naim, D. R. Towill, and J. Wikner. 2016. “A Technique to Develop Simplified and Linearised Models of Complex Dynamic Supply Chain Systems.” European Journal of Operational Research 251 (3): 888–903. doi: 10.1016/j.ejor.2015.12.004
- Subramanian, K., J. B. Rawlings, C. T. Maravelias, J. Flores-Cerrillo, and L. Megan. 2013. “Integration of Control Theory and Scheduling Methods for Supply Chain Management.” Computers & Chemical Engineering 51: 4–20. doi: 10.1016/j.compchemeng.2012.06.012
- Tirandaz, H. 2018. “Adaptive Integral Sliding Mode Control Method for Synchronization of Supply Chain System.” WSEAS Transactions on Systems and Control 13: 54–62.
- Utkin, V. I., and A. S. Poznyak. 2013. “Adaptive Sliding Mode Control with Application to Super-Twist Algorithm: Equivalent Control Method.” Automatica 49 (1): 39–47. doi: 10.1016/j.automatica.2012.09.008
- Wikner, J., M. Naim, and D. Towill. 1992. “The System Simplification Approach in Understanding the Dynamic Behaviour of a Manufacturing Supply Chain.” Journal of Systems Engineering 2: 164–178.
- Wilding, R. D. 1997. “An Investigation into Sources of Uncertainity within Industrial Supply Chains: Amplification, Deterministic Chaos & Parallel Interactions.” PhD thesis, University of Warwick.
- Wilding, R. D. 1998. “Chaos Theory: Implications for Supply Chain Management.” The International Journal of Logistics Management 9 (1): 43–56. doi: 10.1108/09574099810805735
- Xu, X., T. X. Thuong, H. S. Kim, and S. S. You. 2018. “Optimising Supply Chain Management Using Robust Control Synthesis.” International Journal of Logistics Economics and Globalisation 7 (3): 277–291. doi: 10.1504/IJLEG.2018.093770
- Zhang, L., Y. J. Li, and Y. Q. Xu. 2006. “Chaos Synchronization of Bullwhip Effect in a Supply Chain.” In 2006 International Conference on Management Science and Engineering, ICMSE’06, 557–560. Lille, France: IEEE.