The single facility location problem with time-dependent weights and relocation cost over a continuous time horizon

Reza Zanjirani Farahani, W Y Szeto and Saeed Ghadimi
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Reza Zanjirani Farahani: Kingston Business School, Kingston University, UK
W Y Szeto: The University of Hong Kong, Hong Kong
Saeed Ghadimi: University of Florida, Gainesville, USA

Journal of the Operational Research Society, 2015, vol. 66, issue 2, 265-277

Abstract: In this study, we investigate the problem of locating a facility in continuous space when the weight of each existing facility is a known linear function of time. The location of the new facility can be changed once over a continuous finite time horizon. Rectilinear distance and time- and location-dependent relocation costs are considered. The objective is to determine the optimal relocation time and locations of the new facility before and after relocation to minimize the total location and relocation costs. We also propose an exact algorithm to solve the problem in a polynomial time according to our computational results.

Date: 2015
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