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Mixed Integer Linear Programming Formulation for the Taxi Sharing Problem

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Smart Cities (Smart-CT 2016)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 9704))

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Abstract

Given a group of people traveling from the same origin to multiple destinations, the Taxi Sharing Problem consists in assigning taxis to each person such that the total cost spent by the group of people is minimized. This problem arises in the context of Smart Mobility, where the resources of a city must be optimized to save costs and pollution while the mobility services are improved for the citizens. We propose a mixed integer linear programming formulation as an accurate way to solve the problem of taxi sharing. We empirically analyze our formulation solving different real-like instances of the problem with 9 to 69 people.

This research was partially funded by the University of Málaga, Andalucía Tech, and the Spanish Ministry of Economy and Competitiveness and FEDER under grant TIN2014-57341-R. The authors are indebted with Renzo Massobrio, Gabriel Fagúndez and Sergio Nesmachnow for providing the datasets used in the experimentation.

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Notes

  1. 1.

    https://www.blablacar.es.

  2. 2.

    https://carmacarpool.com.

  3. 3.

    https://www.carpling.com/info/taxi.

  4. 4.

    http://www.sharetransport.sg.

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Correspondence to Francisco Chicano .

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Ben-Smida, H.E., Krichen, S., Chicano, F., Alba, E. (2016). Mixed Integer Linear Programming Formulation for the Taxi Sharing Problem. In: Alba, E., Chicano, F., Luque, G. (eds) Smart Cities. Smart-CT 2016. Lecture Notes in Computer Science(), vol 9704. Springer, Cham. https://doi.org/10.1007/978-3-319-39595-1_11

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  • DOI: https://doi.org/10.1007/978-3-319-39595-1_11

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