2008
DOI: 10.1016/j.ejor.2006.12.027
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A hierarchical location model for public facility planning

Abstract: In this article, we present a discrete hierarchical location model for public facility planning. The main features of the model are: an accessibility maximization objective; several levels of demand and of facilities; a nested hierarchy of facilities (i.e. a facility of a given level can serve demand of equal and lower levels); maximum and minimum capacity constraints; and user-to-facility assignment constraints. The latter include single-assignment and closest-assignment constraints, as well as a new type of … Show more

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Cited by 130 publications
(67 citation statements)
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“…Alcada-Almeida et al, (2009)designed a Gaussian diffusion model for optimal configuration of multi-objective spatial locationby using mixed integer and multi-objective planning. Teixeira and Antunes(2008) introduced a discrete rating configuration model for public service facility location and validated the effectiveness of the model through a school network planning case. Jing and Jin (2007) proposed that the community planning should start from the city's perspective and aim for interaction with the city and constructed the community design principle of interaction with the city.…”
Section: Aims and Backgroundmentioning
confidence: 99%
“…Alcada-Almeida et al, (2009)designed a Gaussian diffusion model for optimal configuration of multi-objective spatial locationby using mixed integer and multi-objective planning. Teixeira and Antunes(2008) introduced a discrete rating configuration model for public service facility location and validated the effectiveness of the model through a school network planning case. Jing and Jin (2007) proposed that the community planning should start from the city's perspective and aim for interaction with the city and constructed the community design principle of interaction with the city.…”
Section: Aims and Backgroundmentioning
confidence: 99%
“…Hierarchical models are problems in which the upper level and lower level facilities are considered together [15]. Mestre et al [16], Farahani et al [17] and Teixeira and Antunes [18] can be examined as examples of hierarchical models in healthcare services. A summary of the literature related to the single-level facility location-allocation models are given in Table 2.…”
Section: Location-allocation Models On Healthcare Servicesmentioning
confidence: 99%
“…Kariv and Hakimi [48] proved that the problem is a combinatorial NP-Hard problem. The formulation of the P-median problem is as follows [18]: Decision variables: y k = 1, if potential warehouse k is opened (∀k ∈ K); 0 otherwise x ik = 1, if customer i is assigned to potential warehouse k (∀i ∈ I, ∀k ∈ K); 0 otherwise Objective function: (4) is to minimize total costs. Constraint (5) provides the assignment of each customer to a warehouse, while Constraint (6) provides the assignment of customers to the opened warehouses Constraint (7) determines the number of warehouses which should be opened.…”
Section: P-median Problemmentioning
confidence: 99%
“…This layout failed to consider urban and rural public transport terminal as a whole and was unable to guarantee optimal transportation cost. Existing researches on multi-level hub location primarily focus on facility hierarchical locations, such as production-distribution systems; 9 express delivery services systems; 10 hospitals, schools, and other public service facilities; 11,12 solid waste management systems; 13 and city emergency facilities. 14 The majority of studies take the standpoint of management features and do not consider the use of a hub-and-spoke network structure.…”
Section: Introductionmentioning
confidence: 99%