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Algorithm for the Facility Location Problem with Origin and Destination

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Parallel and Distributed Computing, Applications and Technologies (PDCAT 2021)

Abstract

The Uncapacitated Facility Location Problem with Origin and Destination (FLPWOD) is an extension of the Uncapacitated Facility Location Problem (UFLP), where each unit of demand has its own origin and destination, and must be shipped from its origin via a location at which a transit station is built, to its destination. As in the UFLP, facilities can be opened at any of the predefined locations with given fixed costs. In classical location models, the clients have to be assigned to the open facilities, and the assignment cost is the distance between a client and an open facility. In the FLPWOD, the demands with origins and destinations have to be assigned to the open facilities, and the assignment cost is the length of a tour form the origin to the destination through an open facility. LP-rounding approximation algorithm is developed with the first constant approximation ratio 4.

Supported by NNSF of China under Grant No. 11901544.

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Wang, F., Wang, C., Li, N., Kang, W. (2022). Algorithm for the Facility Location Problem with Origin and Destination. In: Shen, H., et al. Parallel and Distributed Computing, Applications and Technologies. PDCAT 2021. Lecture Notes in Computer Science(), vol 13148. Springer, Cham. https://doi.org/10.1007/978-3-030-96772-7_27

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  • DOI: https://doi.org/10.1007/978-3-030-96772-7_27

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-96771-0

  • Online ISBN: 978-3-030-96772-7

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