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
Computers and Operations Research
A 3-approximation algorithm for the k-level uncapacitated facility location problem
Information Processing Letters
Capacitated location-allocation problems on a line
Computers and Operations Research
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
Improved Combinatorial Approximation Algorithms for the k-Level Facility Location Problem
SIAM Journal on Discrete Mathematics
Cost-optimal topology planning of hierarchical access networks
Computers and Operations Research
Approximating the two-level facility location problem via a quasi-greedy approach
Mathematical Programming: Series A and B
A review of hierarchical facility location models
Computers and Operations Research
Hierarchical maximal-coverage location-allocation: Case of generalized search-and-rescue
Computers and Operations Research
Lower and upper bounds for a two-level hierarchical location problem in computer networks
Computers and Operations Research
Journal of Discrete Algorithms
A new approximation algorithm for the multilevel facility location problem
Discrete Applied Mathematics
Tabu based heuristics for the generalized hierarchical covering location problem
Computers and Industrial Engineering
Computers and Operations Research
A bilevel fixed charge location model for facilities under imminent attack
Computers and Operations Research
Survey: Facility location dynamics: An overview of classifications and applications
Computers and Industrial Engineering
CIAC'06 Proceedings of the 6th Italian conference on Algorithms and Complexity
An approximation algorithm for the k-level stochastic facility location problem
Operations Research Letters
Optimal design of hierarchical networks with free main path extremes
Operations Research Letters
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
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The primary objective in a typical hierarchical facility location problem is to determine the location of facilities in a multi-level network in a way to serve the customers at the lowest level of hierarchy both efficiently (cost minimization objective) and effectively (service availability maximization objective). This paper presents a comprehensive review of over 40years of hierarchical facility location modeling efforts. Published models are classified based on multiple characteristics including the type of flow pattern, service availability, spatial configuration, objective function, coverage, network levels, time element, parameters, facilities, capacity, and real world application. A second classification is also presented on the basis of solution methods adopted to solve various hierarchical facility location problems. The paper finally identifies the gaps in the current literature and suggests directions for future modeling efforts.