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A theory of supply chains
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In this paper, the authors present an algorithm for stable queuing systems and traffic flow in the ACT family of queuing policies, which is a generalization of the ACT policy.Abstract:
1. Introduction.- 1.1 The problem.- 1.2 Terminology and data representation.- 2. Algorithms I Policies.- 2.1 The canonical form: order-based and inventory-based policies.- 2.2 Examples.- 2.3 Anticipative (commitment-based) policies.- 2.4 Flexible commitment policies.- 2.5 Policies for queuing systems and traffic flow.- 3. Algorithmic Properties.- 3.1 Properness.- 3.2 Steady-state properties.- 4. Stability and Monotonicity Requirements.- 4.1 Types of stability.- 4.2 Stability analysis.- 4.3 Interpretation and examples.- 4.4 Some additional properties of linear, order-based policies.- 4.5 Duality: Serial queues and "push chains".- 5. Strongly Stable Policies: The Act Method.- 5.1 The kinematic wave target.- 5.2 Discrete-time approximations of the KW target.- 5.2.1 General Results for Linear Targets.- 5.2.2 The ACT family.- 5.2.3 Properties of the linear ACT policy: linear case and JIT systems.- 5.2.4 Properties of the ACT policy: non-linear case.- 6. Cost Estimation and Optimization.- 6.1 Autonomous user-optimal operation with flexible commitments.- 6.2 Coordinated "system-optimum" operation: Optimization.- 6.2.1 Rigid operation: JIT systems.- 6.2.2 Flexible operation with "system-optimum" bounds.- 7. Discussion.- 7.1 Extensions: Multi-commodity networks.- 7.2 Application issues.- References.- Appendix A: Stability via Control Theory.- Appendix B: Kinematic Wave Theory Revisited.- B.1 Preliminaries.- B.2 The KW Theory Revisited.- B.3 Properties of the procedure.read more
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BookDOI
Introduction to Computational Optimization Models for Production Planning in a Supply Chain
Stefan Voß,David L. Woodruff +1 more
TL;DR: Optimization Modeling starts with an mrp Model and extends to an MRP II Model, a Better Model and Extensions to the Model, and Implementation Examples.
Journal ArticleDOI
A model for the dynamics of large queuing networks and supply chains
TL;DR: A hyperbolic conservation law for the part density and flux in the supply chain is derived and will be asymptotically valid in regimes with a large number of parts in the Supply Chain.
Journal ArticleDOI
Input-to-state stability of infinite-dimensional control systems
TL;DR: It is shown that for certain classes of admissible inputs, the existence of an ISS-Lyapunov function implies the ISS of a system, and it is proved a linearization principle that allows a construction of a local ISS- Lyap unov function for a system.
Journal ArticleDOI
Information Sharing as a Coordination Mechanism for Reducing the Bullwhip Effect in a Supply Chain
TL;DR: Two principles explaining how to use the shared information to reduce the amplification of order variability induced by lead times are described, which are proposed as a cause of the bullwhip effect.
Journal ArticleDOI
The effect of information sharing on supply chain stability and the bullwhip effect
TL;DR: In this article, the authors analyzed the bullwhip effect in multi-stage supply chains operated with linear and time-invariant inventory management policies and shared supply chain information, including past order sequences and inventory records at all supplier stages.
References
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Journal ArticleDOI
A simplified theory of kinematic waves in highway traffic, part II: Queueing at freeway bottlenecks
TL;DR: In this article, the authors proposed a method to relate the cumulative flow curve at any junction to the net cumulative entrance flow at this junction, and the cumulative curve for the freeway at the next upstream junction and/or the next downstream junction.
A Simple Traffic Analysis Procedure
TL;DR: The paper shows that the particular way in which the data are linearized prior to the procedure is not important provided one works within certain tolerances, and that errors in the model parameters also have a limited effect.
Journal ArticleDOI
A simple traffic analysis procedure
TL;DR: In this article, a simple approximate procedure for traffic analysis that can be described geometrically without calculus is presented, which operates directly on piecewise linear approximations of the N-curves of cumulative vehicle count.