The Weber problem in congested regions with entry and exit points

Date

2015-10-01

Author

Farham, Mohammad Saleh
Süral, Haldun
İyigün, Cem

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The Weber problem is about finding a facility location on a plane such that the total weighted distance to a set of given demand points is minimized. The facility location and access routes to the facility can be restricted if the Weber problem contains congested regions, some arbitrary shaped polygonal areas on the plane, where location of a facility is forbidden and traveling is allowed at an additional fixed cost. Traveling through congested regions may also be limited to certain entry and exit points (or gates). It is shown that the restricted Weber problem is non-convex and nonlinear under Euclidean distance metric which justifies using heuristic approaches. We develop an evolutionary algorithm modified with variable neighborhood search to solve the problem. The algorithm is applied on test instances derived from the literature and the computational results are presented.

Subject Keywords

The Weber Problem, Restricted Facility Location, Congested Regions, Evolutionary Algorithm

URI

https://hdl.handle.net/11511/36800

Journal

COMPUTERS & OPERATIONS RESEARCH

DOI

https://doi.org/10.1016/j.cor.2014.10.014

Collections

Department of Industrial Engineering, Article

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Citation Formats

M. S. Farham, H. Süral, and C. İyigün, “The Weber problem in congested regions with entry and exit points,” COMPUTERS & OPERATIONS RESEARCH, pp. 177–183, 2015, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/36800.