Print Email Facebook Twitter Several approaches to model multi-commodity dynamical flow Title Several approaches to model multi-commodity dynamical flow: on a package transport network Author Hermans, Carlos (TU Delft Electrical Engineering, Mathematics and Computer Science) Contributor Dubbeldam, J.L.A. (mentor) Stam, Andries (mentor) Schuttelaars, H.M. (graduation committee) van Essen, J.T. (graduation committee) Degree granting institution Delft University of Technology Programme Applied Mathematics | Computational Science and Engineering Date 2019-07-12 Abstract This thesis investigates several kinds of models of describing multi-commodity dynamical flow. Three models have been developed for a spatial logistic network, on which packages are delivered by vehicles and anothermodel was developed to describe interactions between the customers, the stores and the deliverers, which does not explicitly take delivery time into account like before. The former three models consist of an agent-based model (ABM), and two different (differential) equation-based models (EBMs). One of the EBMs is built from the bottom up, and was created by averaging the randomness in the ABM. The other EBM was built top-down and involved optimizing a general model with respect to some parameters, such that its solution resembles theABM solution as closely as possible. These three models were tested and compared in the first half of the thesis.In the second part of the thesis, the focus shifted to a generalized model (GM) approach of underlying interactions on multi-commodity dynamical flow networks; especially the dynamics describing order placement,scheduling and delivery. Such a network is cyclic and contains a feedback loop, where customers are less likely to order more products if they were recently delivered. This can range from someone not needing to purchase acar if they just bought a brand new one to one not needing to order dinner when they just did so. Such networks are in general described by four kinds of elasticities in this thesis, namely the elasticities to stock, inventory level,saturation, and co-production. These influence different parts in the network. For example, the negative elasticities to inventory level model that high inventory levels inhibit more inventory production, to prevent build-up,and low inventory levels allow for larger inventory production, to prevent drainage. The other elasticities fulfil similar roles. This model was tested using a bifurcation analysis, a statistical ensemble method and by computing influences and sensitivities of parts and nodes in the network. Subject Agent-Based ModelingDifferential EquationsGeneralized ModelsDynamical flowMulti-commodityLogisticsBifurcationPackage transport To reference this document use: http://resolver.tudelft.nl/uuid:cb378d8b-02b9-42dd-812c-36556a0f6902 Part of collection Student theses Document type master thesis Rights © 2019 Carlos Hermans Files PDF Thesis_Carlos_Hermans_03_ ... 7_2019.pdf 33.42 MB Close viewer /islandora/object/uuid:cb378d8b-02b9-42dd-812c-36556a0f6902/datastream/OBJ/view