An overview of representative problems in location research
Management Science
Optimization of resource location in hierarchical computer networks
Computers and Operations Research
Hierarchial concentrator location problem
Computer Communications
Optimal design of a two-level hierarchical network with tree-star configuration
Computers and Industrial Engineering
Topological design of a two-level network with ring-star configuration
Computers and Operations Research
Approximation algorithms for facility location problems (extended abstract)
STOC '97 Proceedings of the twenty-ninth annual ACM symposium on Theory of computing
Computers and Operations Research
A 3-approximation algorithm for the k-level uncapacitated facility location problem
Information Processing Letters
Dual-based heuristics for a hierarchical covering location problem
Computers and Operations Research
Cost-distance: two metric network design
FOCS '00 Proceedings of the 41st Annual Symposium on Foundations of Computer Science
Hierarchical placement and network design problems
FOCS '00 Proceedings of the 41st Annual Symposium on Foundations of Computer Science
Approximation algorithms for the multi-level facility location problem
Approximation algorithms for the multi-level facility location problem
Improved Combinatorial Approximation Algorithms for the k-Level Facility Location Problem
SIAM Journal on Discrete Mathematics
Improved approximation algorithms for multilevel facility location problems
Operations Research Letters
A note on the maximization version of the multi-level facility location problem
Operations Research Letters
Operations Research Letters
Lower and upper bounds for a two-level hierarchical location problem in computer networks
Computers and Operations Research
Tabu based heuristics for the generalized hierarchical covering location problem
Computers and Industrial Engineering
Planning base station and relay station locations for IEEE 802.16j network with capacity constraints
CCNC'10 Proceedings of the 7th IEEE conference on Consumer communications and networking conference
Computers and Operations Research
An integrated model of logistic networks for locating production and distribution points
ICOSSSE'07 Proceedings of the 6th WSEAS international conference on System science and simulation in engineering
Analysis of facility location model using Bayesian Networks
Expert Systems with Applications: An International Journal
Survey: Facility location dynamics: An overview of classifications and applications
Computers and Industrial Engineering
A Lagrangian based solution algorithm for a build-to-order supply chain network design problem
Advances in Engineering Software
Minimizing Energies with Hierarchical Costs
International Journal of Computer Vision
Solving the two-stage capacitated facility location problem by the lagrangian heuristic
ICCL'12 Proceedings of the Third international conference on Computational Logistics
Computers and Industrial Engineering
An Efficient Approach for Solving Reliable Facility Location Models
INFORMS Journal on Computing
A link-focused methodology for evaluating accessibility to emergency services
Decision Support Systems
Computers and Industrial Engineering
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In this study, we review the hierarchical facility location models. Although there have been a number of review papers on hierarchical facility problems, a comprehensive treatment of models has not been provided since the mid-80s. This review fills the gap in the literature. We first classify the hierarchical facility problems according to the features of systems studied, which are based on flow pattern, service availability at each level of the hierarchy, and spatial configuration of services in addition to the objectives to locate facilities. We then investigate the applications, mixed integer programming models, and solution methods presented for the problem. With an overview of the selected works, we consolidate the main results in the literature. Scope and purpose: Hierarchical systems have to decide about the locations of their interacting facilities within a multiple layer configuration. Although literature on hierarchical location decisions has grown, a review of hierarchical location models has not been published since 1986-1987. In this review, we consolidate the selected material in the literature, including more than 70 studies dated 1986 or later.