Optimal Positioning of Service Units Along a Coordinate Line

Larry R. Anderson · Robert A. Fontenot

29 citations0/0 files storedTransportation Science

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Facility Location and Emergency Management Vehicle Routing Optimization Methods Optimization and Search Problems

Abstract

In this article, we consider the optimal positioning of multiple servicing units along a coordinate line, under the assumption that demand for service occurs probabilistically at any point along the coordinate line. We show that, under very general circumstances, it is best for the servicing units to be stationary, and we provide an algorithm for finding these stationary positions.

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References

1964Optimum Locations of Switching Centers and the Absolute Centers and Medians of a Graph 1983A Maximum Expected Covering Location Model: Formulation, Properties and Heuristic Solution 1985Optimal Server Location on a Network Operating as an M/G/1 Queue 1973Square Root Laws for Fire Engine Response Distances

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2004Aplicação do modelo hipercubo de filas para avaliar a descentralização de ambulâncias em um sistema urbano de atendimento médico de urgência 1998A Note on the Optimal Positioning of Service Units

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