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Operations research analysis demonstrates optimal multi-facility placement under rectangular distances, indicating reduced total transportation and loading costs across complex logistical networks.
This note describes a method for locating any number of facilities optimally in relation to any number of existing facilities. The objective is to minimize the total of load-times-distance costs in the system. Any amount of loading may be present between the new facilities and the existing facilities and between the new facilities themselves. Distances are assumed to be rectangular.
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Wesolowsky et al. (1971) studied this question.
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