Article1987

The P-Centroid Problem on an Inclined Plane

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Facility Location and Emergency Management Vehicle Routing Optimization Methods Forest Biomass Utilization and Management

Abstract

We model a log harvesting problem as one of how to slide blocks along an inclined plane. To analyze this problem we develop and test a P-centroid location-allocation model that minimizes aggregate work. The model provides insight into the ideal shapes, locations and numbers of harvesting sites.

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References

1964Heuristic Methods for Location-Allocation Problems 1962AN EFFICIENT ALGORITHM FOR THE NUMERICAL SOLUTION OF THE GENERALIZED WEBER PROBLEM IN SPATIAL ECONOMICS 1972Exact and approximate solutions to the multisource weber problem 1978On the Convergence of a Class of Iterative Methods for Solving the Weber Location Problem 1982Properties and Solution Methods for Large Location-Allocation Problems 1977An Application of Facilities Location Theory to the Design of Forest Harvesting Areas

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2011Single-facility Weber Location Problem based on the Lift Metric

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