Article1972

Rectangular Distance Location under the Minimax Optimality Criterion

41 citations0/0 files storedTransportation Science

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Facility Location and Emergency Management Vehicle Routing Optimization Methods Optimization and Mathematical Programming

Abstract

Various versions of the Weber problem deal with the location of facilities in a system with fixed destinations or customers. The object is to minimize the sum of transportation costs, which is represented as the sum of the weighted distances in the system. This paper finds the optimum location for facilities where the object is to minimize the maximum weighted distance in the system. Rectangular distances, which are more appropriate for urban transportation than straight line distances, are used in the model. Optimization is achieved through parametric linear programming.

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References

1968Introduction to Operations Research 1964Optimum Locations of Switching Centers and the Absolute Centers and Medians of a Graph 1967Letter to the Editor—Some Aspects of a Minimax Location Problem

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1978A New Method for the Multifacility Minimax Location Problem 1989The Asymmetric Distance Location Problem 1977A Rectilinear Distance Round-Trip Location Problem 1981Constrained Location and the Weber-Rawls Problem

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