Modelling and optimization of supply chains on complex networks

Simone Göttlich · Michaël Herty · Axel Klar

75 citations0/0 files storedCommunications in Mathematical Sciences

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Supply Chain and Inventory Management Complex Network Analysis Techniques Supply Chain Resilience and Risk Management

Abstract

In this paper, we extend the model for supply chains developed in [8].The model consists of partial differential equations governing the dynamics on each processor.Furthermore, a modelling of different types of vertices is motivated and discussed.Then, optimization problems are introduced and numerically investigated.A comparison of computing times shows the efficiency of partial differential equations for solving supply chain problems.

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References

2006A Model for the Dynamics of large Queuing Networks and Supply Chains 2003A Theory of Supply Chains 2003Kinetic and Fluid Model Hierarchies for Supply Chains

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2020Numerical schemes and genetic algorithms for the optimal control of a continuous model of supply chains 2015Contingent rerouting for enhancing supply chain resilience from supplier behavior perspective 2008A Discrete Optimization Approach to Large Scale Supply Networks Based on Partial Differential Equations 2007A continuum-discrete model for supply chains dynamics 2009Modelling supply networks with partial differential equations 2018Bullwhip effect in a supply chain model with multiple delivery delays 2022A Genetic Algorithm to Optimize Dynamics of Supply Chains 2013Numerical Schemes for the Optimal Input Flow of a Supply Chain

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