Title
An acceleration of Erlenkotter-Körkel’s algorithms for the uncapacitated facility location problem
Abstract
This contribution is focused on an acceleration of branch and bound algorithms for the uncapacitated facility location problem. Our approach is based on the well-known Erlenkotters’ procedures and Körkels’ multi-ascent and multi-adjustment algorithms, which have proved to be the efficient tools for solving the large-sized instances of the uncapacitated facility location problem. These two original approaches were examined and a thorough analysis of their performance revealed how each particular procedure contributes to the computational time of the whole algorithms. These analyses helped us to focus our effort on the most frequent procedures. The unique contribution of this paper is a new dual ascent procedure. This procedure leads to considerable acceleration of the lower bound computation process and reduces the resulting computational time. To demonstrate more efficient performance of amended algorithms we present the results of extensive numerical experiments.
Year
DOI
Venue
2008
https://doi.org/10.1007/s10479-008-0343-0
Annals of Operations Research
Keywords
Field
DocType
Branch and bound,Uncapacitated facility location problem,Dual ascent algorithm,DualLoc,PDLoc
Branch and bound,Mathematical optimization,Dual ascent,Upper and lower bounds,Algorithm,Facility location problem,Acceleration,Mathematics,Computation
Journal
Volume
Issue
ISSN
164
1
0254-5330
Citations 
PageRank 
References 
6
0.52
12
Authors
2
Name
Order
Citations
PageRank
Jaroslav Janácek1197.74
Lubos Buzna219627.21