Fluid dynamics models and their applications in transportation and pricing
| Autor: | Soulaymane Kachani, Georgia Perakis |
|---|---|
| Rok vydání: | 2006 |
| Předmět: |
Inventory control
Mathematical optimization Information Systems and Management Supply chain management General Computer Science Operations research Computer science Supply chain Context (language use) Management Science and Operations Research Flow network Industrial and Manufacturing Engineering Variety (cybernetics) Modeling and Simulation Dynamic pricing Fluid dynamics |
| Zdroj: | European Journal of Operational Research. 170:496-517 |
| ISSN: | 0377-2217 |
| DOI: | 10.1016/j.ejor.2004.07.047 |
| Popis: | Fluid dynamics models provide a powerful deterministic technique to approximate stochasticity in a variety of application areas. In this paper, we study two classes of fluid models, investigate their relationship as well as some of their applications. This analysis allows us to provide analytical models of travel times as they arise in dynamically evolving environments, such as transportation networks as well as supply chains. In particular, using the laws of hydrodynamic theory, we first propose and examine a general second-order fluid model. We consider a first-order approximation of this model and show how it is helpful in analyzing the dynamic traffic equilibrium problem. Furthermore, we present an alternate class of fluid models that are traditionally used in the context of dynamic traffic assignment. By interpreting travel times as price/inventory–sojourn-time relationships, we are also able to connect this approach with a tractable fluid model in the context of dynamic pricing and inventory management. |
| Databáze: | OpenAIRE |
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