Controlling the bullwhip effect and reducing the propagated inventory levels throughout the supply chain layers has an important role in reducing the total inventory costs of a supply chain. In this study, an optimal controller that considers demand as control variable is designed to dampen propagated inventory fluctuations for each node throughout the supply chain network. The model proves to be very useful in revealing the dynamic characteristics of the chain and provides a proper interface to study decisions taken into account at each node of the supply chain in different periods by decision makers (DMs). In the proposed approach, two feedback loops and online updated values of net stock quantities are used for calculation of the orders. To investigate the efficiency of the proposed approach, a real case of bicycle industry is conducted. The acquired results justify the efficiency of the proposed approach in controlling and dampening the bullwhip effect and reducing inventory levels, net stock quantities and inventory attributed costs throughout the supply chain network layers.
Mots-clés : Bullwhip effect, optimal control, supply chain management, inventory control, bicycle industry
@article{RO_2018__52_4-5_1377_0, author = {Sabbaghnia, Ali and Razmi, Jafar and Babazadeh, Reza and Moshiri, Behzad}, title = {Reducing the {Bullwhip} effect in a supply chain network by application of optimal control theory}, journal = {RAIRO - Operations Research - Recherche Op\'erationnelle}, pages = {1377--1396}, publisher = {EDP-Sciences}, volume = {52}, number = {4-5}, year = {2018}, doi = {10.1051/ro/2018025}, mrnumber = {3884160}, zbl = {1414.49043}, language = {en}, url = {http://www.numdam.org/articles/10.1051/ro/2018025/} }
TY - JOUR AU - Sabbaghnia, Ali AU - Razmi, Jafar AU - Babazadeh, Reza AU - Moshiri, Behzad TI - Reducing the Bullwhip effect in a supply chain network by application of optimal control theory JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2018 SP - 1377 EP - 1396 VL - 52 IS - 4-5 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/ro/2018025/ DO - 10.1051/ro/2018025 LA - en ID - RO_2018__52_4-5_1377_0 ER -
%0 Journal Article %A Sabbaghnia, Ali %A Razmi, Jafar %A Babazadeh, Reza %A Moshiri, Behzad %T Reducing the Bullwhip effect in a supply chain network by application of optimal control theory %J RAIRO - Operations Research - Recherche Opérationnelle %D 2018 %P 1377-1396 %V 52 %N 4-5 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/ro/2018025/ %R 10.1051/ro/2018025 %G en %F RO_2018__52_4-5_1377_0
Sabbaghnia, Ali; Razmi, Jafar; Babazadeh, Reza; Moshiri, Behzad. Reducing the Bullwhip effect in a supply chain network by application of optimal control theory. RAIRO - Operations Research - Recherche Opérationnelle, Tome 52 (2018) no. 4-5, pp. 1377-1396. doi : 10.1051/ro/2018025. http://www.numdam.org/articles/10.1051/ro/2018025/
[1] Measuring and avoiding the bullwhip effect: a control theoretic approach. Eur. J. Oper. Res. 147 (2003) 567–590. | DOI | Zbl
, and ,[2] A robust stochastic programming approach for agile and responsive logistics under operational and disruption risks. Prod. Oper. Manag. 15 (2006) 262–278.
, and ,[3] Optimal control and system theory in dynamic economic analysis. Prod. Oper. Manag. 1 (1976). | MR | Zbl
,[4] Optimal feedback control of a manufacturing system with setup changes, in Proceedings of the Fourth International Conference on Computer Integrated Manufacturing and Automation Technology (1994) 191–196. | DOI
and ,[5] Logic-based solution methods for optimal control of hybrid systems. IEEE Trans. Autom. Control 51 (2006) 963–976. | DOI | MR | Zbl
and ,[6] Dynamic Programming and Optimal Control, Vol. 1. Athena Scientific, Belmont, MA (1995) 262–278. | MR
,[7] Toward an optimal control strategy for sweet pepper cultivation: a dynamic crop model. Acta Hortic. 718 (2006) 367–374. | DOI
, , , and ,[8] Bullwhip effect reduction and improved business performance through guanxi: an empiricalstudy. Prod. Oper. Manag. 158 (2014) 217–230.
, and ,[9] A study of the bullwhip effect in supply- and demand-driven supply chain. J. Ind. Prod. Eng. 34 (2017) 124–134.
, and ,[10] Attention and Self-regulation: A Control-Theory Approach to Human Behavior. Springer Science & Business Media (2012).
and ,[11] The bullwhip effect: managerial insights on the impact of forecasting and information on variability in a supply chain, in Quantitative Models for Supply Chain Management (1999) 417–439. | DOI | Zbl
, , and ,[12] Quantifying the bullwhip effect in a simple supply chain: the impact of forecasting, lead times, and information. Manag. Sci. 46 (2000) 436–443. | DOI | Zbl
, , and ,[13] The impact of exponential smoothing forecasts on the bullwhip effect. Naval Res. Logist. (NRL) 47 (2000) 269–286. | DOI | MR | Zbl
, and ,[14] Logistics for world-wide crude oil transportation using discrete event simulation and optimal control. Comput. Chem. Eng. 28 (2004) 897–911. | DOI
and ,[15] From process control to supply chain management: an overview of integrated decision making strategies. Comput. Chem. Eng. 106 (2017) 826–835. | DOI
and ,[16] Eliminating drift in inventory and order based production control systems. Int. J. Prod. Econ. 93 (2005) 331–344. | DOI
and ,[17] Dynamic simulation and optimal control strategy of a decentralized supply chain system, in Management Science and Engineering, 2009. ICMSE 2009. International Conference on IEEE (2009) 419–424.
and ,[18] Optimal control of a manufacturing system based on a novel continuous-flow model with minimal WIP requirement, in Computer Integrated Manufacturing and Automation Technology, 1994. Proceedings of the Fourth International Conference on IEEE (1994) 113–118.
and ,[19] Nonlinear optimal control approach to scheduling problems, in AIChE Annual Meeting, 2007, Salt Lake City, UT (2007).
,[20] Green supply chain management: a review and bibliometric analysis. Int. J. Prod. Econ. 162 (2015) 101–114. | DOI
, and ,[21] Industrial Dynamics. Pegasus Communications, Waltham, MA (1961). | MR
,[22] Measuring the bullwhip effect in the supply chain. Supply Chain Manag.: Int. J. 5 (2000) 78–89. | DOI
and ,[23] Inventory control for the supply chain: an adaptive control approach based on the identification of the lead-time. Omega 40 (2012) 314–327. | DOI
, , and ,[24] Dynamic nonlinear modelization of operational supply chain systems. J. Global Optim. 34 (2006) 503–534. | DOI | MR | Zbl
and ,[25] A hybrid model for optimal control of single nodes in supply chains. In Vol. 38 of IFAC Proceedings (2005) 7–12.
, , and ,[26] Reverse logistics and closed-loop supply chain: a comprehensive review to explore the future. Eur. J. Oper. Res. 240 (2015) 603–626. | DOI | MR | Zbl
, and ,[27] A critical review on supply chain risk—definition, measure and modeling. Omega 52 (2015) 119–132. | DOI
, and ,[28] The reverse amplification effect in supply chains. Dev. Logist. Supply Chain Manag. (2016) 52–58.
and ,[29] Applicability of optimal control theory to adaptive supply chain planning and scheduling. Annu. Rev. Control 36 (2012) 73–84. | DOI
, and ,[30] Structure dynamics control approach to supply chain planning and adaptation. Int. J. Prod. Res. 50 (2012) 6133–6149. | DOI
and ,[31] Integrated supply chain planning based on a combined application of operations research and optimal control. Central Eur. J. Oper. Res. 19 (2011) 299–317. | DOI | MR
, and ,[32] Controlling the bullwhip effect in a supply chain network with an inventory replenishment policy by a robust control method. J. Optim. Ind. Eng. 7 (2014) 75–82.
and ,[33] A system dynamics modeling approach for a multi-level, multi-product, multi-region supply chain under demand uncertainty. Expert Syst. Appl. 51 (2016) 231–244. | DOI
and ,[34] Information sharing in a supply chain. Int. J. Manuf. Technol. Manag. 1 (2000) 79–93. | DOI
and ,[35] The bullwhip effect in supply chains. Sloan Manag. Rev. 38 (1997) 93–102.
, and ,[36] The value of information sharing in a two-level supply chain. Manag. Sci. 46 (2000) 626–643. | DOI | Zbl
, and ,[37] Controlling the bullwhip effect in a supply chain system with constrained information flows. Appl. Math. Model. 37 (2013) 1897–1909. | DOI | MR | Zbl
,[38] A robust optimization approach to reduce the bullwhip effect of supply chains with vendor order placement lead time delays in an uncertain environment. Appl. Math. Model. 37 (2013) 707–718. | DOI | MR | Zbl
and ,[39] Supply Chain Management: Concepts, Techniques and Practices Enhancing the Value Through Collaboration. World Scientific Publishing Company (2007).
,[40] The extension and exploitation of the inventory and order based production control system archetypefrom 1982 to 2015. Int. J. Prod. Econ. 194 (2017) 135–152. | DOI
, , and ,[41] Quantifying the bullwhip effect in supply chains. J. Oper. Manag. 15 (1997) 89–100. | DOI
,[42] Demand satisfaction in supply chain management system using a full online optimal control method. Int. J. Adv. Manuf. Technol. 77 (2015) 1401–1417. | DOI
, , and ,[43] Application of distributed control on a large-scale production/distribution/inventory system. Syst. Sci. Control Eng. 4 (2016) 68–77. | DOI
, and ,[44] Cooperative control in production and logistics. Annu. Rev. Control 39 (2015) 12–29. | DOI
, , , , and ,[45] Minimizing the bullwhip effect in a supply chain using genetic algorithms. Int. J. Prod. Res. 44 (2006) 1523–1543. | DOI | Zbl
, , and ,[46] Work-in-process analysis in a production system using a control engineering approach. J. Jpn. Ind.Manag. Assoc. 67 (2016) 106–113.
and ,[47] Dynamic modeling and classical control theory for supply chain management. Comput. Chem. Eng. 24 (2000) 1143–1149. | DOI
, , and ,[48] On the receding horizon hierarchical optimal control of manufacturing systems. J. Intell. Manuf. 8(1997) 425–433. | DOI
and ,[49] Model predictive control applied to a supply chain management problem, in CONTROLO. Springer (2017) 167–177.
, , and ,[50] Exploring nonlinear supply chains: the dynamics of capacity constraints. Int. J. Prod. Res. 55 (2017) 4053–4067. | DOI
, , and ,[51] The Mathematical Theory of Optimal Processes (International Series of Monographs in Pure and Applied Mathematics). Interscience, New York (1962). | MR
, , and ,[52] Racing the impact of non-uniform forecasting methods on the severity of the bullwhip effect in two-and three-level supply chains. Int. J. Manag. Sci. Eng. Manag. 10 (2015) 297–304.
and ,[53] The optimal control of batched production and its effect on demand amplification. Int. J. Prod. Econ. 72 (2001) 159–168. | DOI
and ,[54] Modelling the dynamics of supply chains. Int. J. Syst. Sci. 31 (2000) 969–976. | DOI | Zbl
, and ,[55] Inventory control of supply chains: mitigating the bullwhip effect by centralized and decentralized Internal Model Control approaches. Eur. J. Oper. Res. 224 (2013) 261–272. | DOI | MR | Zbl
, , and ,[56] A review of supply chain complexity drivers. Comput. Ind. Eng. 66 (2013) 533–540. | DOI
,[57] Optimal Control Theory Applications to Management Science and Economics. Springer (2000). | MR | Zbl
and ,[58] A review of modeling approaches for sustainable supply chain management. Decis. Support Syst. 54 (2013) 1513–1520. | DOI
,[59] On the application of servomechanism theory in the study of production control. Econometrica (1952) 247–268. | DOI | MR | Zbl
,[60] OR/MS models for supply chain disruptions: a review. IIE Trans. 48 (2016) 89–109. | DOI
, , , , and ,[61] Supply chain management: an overview. Supply Chain Manag. Adv. Plan. 15 (2015) 3–28.
,[62] The bullwhip effect in supply chains—an overestimated problem? Int. J. Prod. Econ. 118 (2009) 311–322. | DOI
,[63] Application of optimal control in inventory management of production. Appl. Mech. Mater. 29 (2010) 2503–2508. | DOI
, and ,[64] A new parallel genetic algorithm for reducing the bullwhip effect in an automotive supply chain. IFAC Proc. Vol. 46 (2013) 70–74. | DOI
, and ,[65] Supply chain dynamics. Int. J. Comput. Integr. Manuf. 4 (1991) 197–208. | DOI
,[66] Behavioral causes of the bullwhip effect: an analysis using linear control theory. IISE Trans. 49 (2017) 980–1000. | DOI
, , and ,[67] The bullwhip effect: progress, trends and directions. Eur. J. Oper. Res. 250 (2016) 691–701. | DOI | MR | Zbl
and ,[68] The effect of smoothing filters on supply chain performance. Int. J. Inventory Res. 3 (2016) 134–165. | DOI
and ,[69] Dampening bullwhip effect of order-up-to inventory strategies via an optimal control method. Numer. Algebra Control Optim. 3 (2013) 655–664. | DOI | MR | Zbl
, , and ,[70] Inventory management models in cluster supply chains based on system dynamics. RAIRO – Oper. Res. 51 (2017) 763–778. | DOI | Numdam | MR | Zbl
, , and ,[71] Optimal control policies for a supply chain with perishable products, in Wireless Communications, Networking and Mobile Computing, 2008. WiCOM’08. 4th International Conference on IEEE (2008) 1–4.
and ,[72] The impact of product returns and remanufacturing uncertainties on the dynamic performance of a multi-echelon closed-loop supply chain. Int. J. Prod. Econ. 183 (2006) 487–502. | DOI
, and ,Cité par Sources :