Optimal pricing policies for public transportation networks
Buttazzo G, Pratelli A, Stepanov E (2006)
Publication Status: Published
Publication Type: Journal article, Original article
Publication year: 2006
Journal
Publisher: Society for Industrial and Applied Mathematics
Book Volume: 16
Pages Range: 826-853
Journal Issue: 3
DOI: 10.1137/040619831
Abstract
In this paper we study the problem of finding an optimal pricing policy for the use of the public transportation network in a given populated area. The transportation network, modeled by a Borel set ∑ ⊂ ℝ of finite length, the densities of the population and of the services (or workplaces), modeled by the respective finite Borel measures φ and φ, and the effective cost A(t) for a citizen to cover a distance t without the use of the transportation network are assumed to be given. The pricing policy to be found is then a cost B(t) to cover a distance t with the use of the transportation network (i.e., the "price of the ticket for a distance t"), and it has to provide an equilibrium between the needs of the population (hence minimizing the total cost of transportation of the population to the services/workplaces) and that of the owner of the transportation network (hence maximizing the total income of the latter). We present a model for such a choice and discuss the existence as well as some qualitative properties of the resulting optimal pricing policies. © 2006 Society for Industrial and Applied Mathematics.
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APA:
Buttazzo, G., Pratelli, A., & Stepanov, E. (2006). Optimal pricing policies for public transportation networks. SIAM Journal on Optimization, 16(3), 826-853. https://dx.doi.org/10.1137/040619831
MLA:
Buttazzo, Giuseppe, Aldo Pratelli, and Eugene Stepanov. "Optimal pricing policies for public transportation networks." SIAM Journal on Optimization 16.3 (2006): 826-853.
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