Layered Graph Approaches to the Hop Constrained Connected Facility Location Problem

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Layered Graph Approaches to the Hop Constrained Connected Facility Location Problem

Given a set of customers, a set of potential facility locations and some inter-connection nodes, the goal of the Connected Facility Location problem (ConFL) is to find the minimum-cost way of assigning each customer to exactly one open facility, and connecting the open facilities via a Steiner tree. The sum of costs needed for building the Steiner tree, facility opening costs and the assignment...

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Hop Constrained Connected Facility Location

The Connected Facility Location (ConFL) problem combines facility location and Steiner trees: given a set of customers, a set of potential facility locations and some inter-connection nodes, ConFL searches for the minimum-cost way of assigning each customer to exactly one open facility, and connecting the open facilities via a Steiner tree. The costs needed for building the Steiner tree, facili...

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Modelling the Hop Constrained Connected Facility Location Problem on Layered Graphs

Gouveia et al. [3] show how to model the Hop Constrained Minimum Spanning tree problem as Steiner tree problem on a layered graph. Following their ideas, we provide three possibilities to model the Hop Constrained (HC) Connected Facility Location problem (ConFL) as ConFL on layered graphs. We show that on all three layered graphs the respective LP relaxations of two cut based models are of the ...

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Hop Constrained Connected Facility Location: A Hierarchy of Formulations

Connected Facility Location (ConFL) is a problem that combines network design and facility location aspects: given a set of customers, a set of potential facility locations and some inter-connection nodes, ConFL searches for the minimum-cost way of assigning each customer to exactly one open facility, and connecting the open facilities via a Steiner tree. The costs needed for building the Stein...

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ژورنال

عنوان ژورنال: INFORMS Journal on Computing

سال: 2013

ISSN: 1091-9856,1526-5528

DOI: 10.1287/ijoc.1120.0500