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Optimal layout of transshipment facility locations on an infinite homogeneous plane

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  • Xie, Weijun
  • Ouyang, Yanfeng

Abstract

This paper studies optimal spatial layout of transshipment facilities and the corresponding service regions on an infinite homogeneous plane R2 that minimize the total cost for facility set-up, outbound delivery and inbound replenishment transportation. The problem has strong implications in the context of freight logistics and transit system design. This paper first focuses on a Euclidean plane and shows that a tight upper bound can be achieved by a type of elongated cyclic hexagons, while a cost lower bound based on relaxation and idealization is also obtained. The gap between the analytical upper and lower bounds is within 0.3%. This paper then shows that a similar elongated non-cyclic hexagon shape, with proper orientation, is actually optimal for service regions on a rectilinear metric plane. Numerical experiments are conducted to verify the analytical findings and to draw further insights.

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  • Xie, Weijun & Ouyang, Yanfeng, 2015. "Optimal layout of transshipment facility locations on an infinite homogeneous plane," Transportation Research Part B: Methodological, Elsevier, vol. 75(C), pages 74-88.
    • Handle: RePEc:eee:transb:v:75:y:2015:i:c:p:74-88
    DOI: 10.1016/j.trb.2015.02.001
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