Maximum entropy and utility in a transportation system.(English)Zbl 1006.90011

The author describes two approaches to solve the trip distribution problem in a transportation system. The first approach is based on three maximum entropy models with the Shannon, Bose-Einstein and Fermi-Dirac form of entropy, while in the other one the corresponding maximum-utility models with different cost functions are developed. The interrelation and equivalence of these two approaches are theoretically shown.

MSC:

 90B06 Transportation, logistics and supply chain management 94A17 Measures of information, entropy 91B16 Utility theory

Keywords:

trip distribution