Name
Title | ||
|---|---|---|
An Improved IP Formulation for the Uncapacitated Facility Location Problem: Capitalizing on Objective Function Structure |
Abstract | ||
|---|---|---|
In this paper we examine the Uncapacitated Facility Location Problem (UFLP) with a special structure of the objective function
coefficients. For each customer the set of potential locations can be partitioned into subsets such that the objective function
coefficients in each are identical. This structure exists in many applications, including the Maximum Cover Location Problem.
For the problems possessing this structure, we develop a new integer programming formulation that has all the desirable properties
of the standard formulation, but with substantially smaller dimensionality, leading to significant improvement in computational
times. While our formulation applies to any instance of the UFLP, the reduction in dimensionality depends on the degree to
which this special structure is present. |
Year | DOI | Venue |
|---|---|---|
2005 | 10.1007/s10479-005-2036-2 | Annals OR |
Keywords | Field | DocType |
Facility Location Models,integer programming,cover problems | Mathematical optimization,Curse of dimensionality,Facility location problem,Integer programming,1-center problem,Mathematics | Journal |
Volume | Issue | ISSN |
136 | 1 | 0254-5330 |
Citations | PageRank | References |
2 | 0.41 | 4 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| O. Berman | 1 | 1604 | 231.36 |
| Dmitry Krass | 2 | 483 | 82.08 |