Hyperchaotic Phenomena in Dynamic Decision Making

Thomsen, Jesper Skovhus; Mosekilde, Erik; Sterman, John D.

doi:10.1007/978-1-4684-7847-1_30

Cited by 27 publications

(29 citation statements)

References 11 publications

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“…It should be noticed that when div < 1 no control action is performed and therefore, as T i increases the actuation of the control algorithm are more frequent, see Eq. (18) . Fig.…”

Section: Costs Reduction Using Divergence-based Controlmentioning

confidence: 99%

“…Local stability analysis for different types of complex supply chains was studied in [16], whereas Kleijnen [17] reviewed the role of sensitivity analysis in supply chain simulations. Non-linear behaviour, the relationships between global stability and damped oscillations, and the extraordinary complexity and the large variety of bifurcations have been studied in the Beer Game model [18][19]. Techniques to reduce the bullwhip effect based on considering the supply chain as a dynamical system and the application of control techniques have been recently summarized by Sarimveis et al [20].…”

Section: Introductionmentioning

confidence: 99%

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Stability Control in a Supply Chain: Total Costs and Bullwhip Effect Reduction

Strozzi¹,

Noè²,

Zaldı́var³

2008

TOORJ

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Abstract:The bullwhip effect refers to the phenomenon of demand distortion in a supply chain. By eliminating or controlling this effect, it is possible to increase product profitability. The main focus of this work is to apply a control technique, based on the divergence of system, to reduce the bullwhip effect in a single-product one echelon supply chain, in which an Order-Up-To (OUT) order policy is applied. First the relationships between bullwhip, stability of the supply chain and the total costs are analyzed. Second the divergence-based control strategy is applied to stabilize the supply chain dynamics with a considerable reduction of the total costs (> 30%) and, in relevant cases, of the bullwhip effect.

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“…It should be noticed that when div < 1 no control action is performed and therefore, as T i increases the actuation of the control algorithm are more frequent, see Eq. (18) . Fig.…”

Section: Costs Reduction Using Divergence-based Controlmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Stability Control in a Supply Chain: Total Costs and Bullwhip Effect Reduction

Strozzi¹,

Noè²,

Zaldı́var³

2008

TOORJ

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“…These are the changes in the levels of the core system variables; these levels should be expressible as potential energy values. If one were to go initially in this argument to nΓ cascades then the possibility of hyperchaos could arise and muddy the waters even more (Thomsen, Mosekilde and Sterman, 1991). The necessary algebra is derivable from the multichannel and cascade nΓ k precedents but is perhaps untidy.…”

Section: Inter-and Intra-level Dynamics Of Modelsmentioning

confidence: 99%

Informative Psychometric Filters

Gregson¹

2006

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“…A number of studies have been conducted that investigated the existence and formation of chaotic behaviors in supply chains. Mosekilde and Larsen [3] and Thomsenet et al [4] adopted a deterministic supply chain and showed the existence of chaotic behavior in it.…”

Section: Introductionmentioning

confidence: 99%

Robust H$\infty $ control for chaotic supply chain networks

Nav¹,

Jahed‐Motlagh²,

Makui³

2017

Turk J Elec Eng & Comp Sci

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Abstract:A supply chain network (SCN) is a complex nonlinear system involving multiple entities. The policy of each entity in decision-making and the uncertainties of demand and supply (or production) significantly affect the complexity of its behavior. Although several studies have presented information about the measurement of chaos in the supply chain, there has not been an appropriate way to control the chaos in it. In this paper, the chaos control problem is considered for a SCN with a time-varying delay between its entities. The innovation of this paper is the more comprehensive modeling, analysis, and control of chaotic behavior in the system. The proposed model has a control center to determine the orders of entities and control their inventories. Customer demand is modeled as an unknown exogenous disturbance. A robust H ∞ control method is designed to control its chaotic behavior in terms of a certain linear matrix inequality technique that can be readily solved using the MATLAB LMI toolbox. By using this technique and calculating the maximum Lyapunov exponent, decision parameters are determined in such a way that the behavior of the SCN is stable.

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Hyperchaotic Phenomena in Dynamic Decision Making

Cited by 27 publications

References 11 publications

Stability Control in a Supply Chain: Total Costs and Bullwhip Effect Reduction

Stability Control in a Supply Chain: Total Costs and Bullwhip Effect Reduction

Informative Psychometric Filters

Robust H$\infty $ control for chaotic supply chain networks

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