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A mathematical approach and review of the modeling of taxi services
Estrada Romeu, Miguel Ángel; Salanova Grau, Josep Maria
Universitat Politècnica de Catalunya. Departament d'Infraestructura del Transport i el Territori; Universitat Politècnica de Catalunya. CENIT - Recerca i innovació en Transport, Mobilitat i Logística
This paper presents a mathematical model for the estimation of the key performance indicators of the taxi markets in urban areas. These key parameters are basically the demand and supply for taxi services, the waiting time of users and the cost of the different involved actors. The identified actors are the drivers, the taxi users and the city, represented by the other drivers and the inhabitants. Optimum values for the taxi supply are obtained from the mathematical formulations depending on the demand level and the size of the city, presenting the users waiting time and the unitary system costs related to this optimum fleet size. The model is applied to two modes of operations, hailing and dispatching market. Conclusions are drawn for the best type of market for each demand level and city size.
Àrees temàtiques de la UPC::Enginyeria civil::Infraestructures i modelització dels transports::Transport urbà
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Modelització matemàtica
Taxicabs
Urban transportation--Mathematical models
Taxis
Transport urbà -- Models matemàtics
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