Fluid Models for Traffic and Pricing
Name
HPCES011.pdf
Size
288.7 KB
Format
Adobe PDF
Checksum (MD5)
31abc8e375e7dd67a0bdc65b20696087
Author(s)
Kachani, Soulaymane
Perakis, Georgia
Date Issued
January 2003
Series/Report no.
High Performance Computation for Engineered Systems (HPCES);
Abstract
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. Finally, we investigate the relationship between these two classes of fluid models.
Subjects
stochasticity
fluid models
dynamic traffic equilibrium problem
price/inventory-sojourn-time relationships
dynamic pricing
inventory management
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