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## Disservice Representation Using the Gini Coefficient in Semi-desirable Facility Location Problems (2011)

### Citations

3769 | Particle Swarm Optimization
- Kennedy, Eberhart
- 1942
(Show Context)
Citation Context ...st disservice caused by thesfacility at x. In all cases, transportation costs are calculated bysf1(x).sV. BI-OBJECTIVE PSOsParticle Swarm Optimization (PSO) was first proposed bysKennedy and Eberhart =-=[8, 9, 10]-=-.sThey were inspired by thescollective behavior of animals, specifically the movementspatterns of bird flocks. In such populations, individualssdetermine their travel path considering both their previ... |

852 | The particle swarm-explosion, stability, and convergence in a multidimensional complex space,”
- Clerc, Kennedy
- 2002
(Show Context)
Citation Context ...om number in the interval [0, 1], 4 andswhere 42 2 21 2 >+= −−− = ϕϕϕϕ ϕϕϕ K is the constriction coefficient controlling the velocity update tosprevent explosion and provide stability as explained in =-=[11]-=-.sOnce c is updated, c-fitness is calculated, and if it is better thansp-fitness, p and p-fitness are also updated.sAfter successful implementations in single-objectivesproblems, PSO was first applied... |

242 | Methods of measuring the concentration of wealth. - Lorenz - 1905 |

197 |
The particle swarm: Social adaptation of knowledge.
- Kennedy
- 1997
(Show Context)
Citation Context ...st disservice caused by thesfacility at x. In all cases, transportation costs are calculated bysf1(x).sV. BI-OBJECTIVE PSOsParticle Swarm Optimization (PSO) was first proposed bysKennedy and Eberhart =-=[8, 9, 10]-=-.sThey were inspired by thescollective behavior of animals, specifically the movementspatterns of bird flocks. In such populations, individualssdetermine their travel path considering both their previ... |

119 | Mopso: A proposal for multiple objective particle swarm optimization.
- Coello, Lechuga
- 2002
(Show Context)
Citation Context ...ess are also updated.sAfter successful implementations in single-objectivesproblems, PSO was first applied to multi-objective settings bysMoore and Chapman [12], followed by Coello Coello andsLechuga =-=[13]-=-, Hu and Eberhart [14], Fieldsend and Singh [15],sand Parsopoulos et al. [16]. Yapicioglu et al. [2] also developedsa bi-objective PSO (bi-PSO) where the non-dominatedssolutions discovered during the ... |

112 |
Measurement of inequality of incomes.
- Gini
- 1921
(Show Context)
Citation Context ...ibution of a good or servicesacross the members of a population. The Gini coefficient issdefined as the area between a 45 degree line and the linesrepresenting the cumulative equity in a Lorenz curve =-=[6]-=-.sTranslated into the facility location literature, the Giniscoefficient provides a measure of the fairness of the location ofsa facility with respect to the fixed locations of the populationscenters ... |

85 | Multiobjective optimization using dynamic neighborhood particle swarm optimization,”
- Hu, Eberhart
- 2002
(Show Context)
Citation Context ...After successful implementations in single-objectivesproblems, PSO was first applied to multi-objective settings bysMoore and Chapman [12], followed by Coello Coello andsLechuga [13], Hu and Eberhart =-=[14]-=-, Fieldsend and Singh [15],sand Parsopoulos et al. [16]. Yapicioglu et al. [2] also developedsa bi-objective PSO (bi-PSO) where the non-dominatedssolutions discovered during the search are kept in an ... |

59 | A multi-objective algorithm based upon particle swarm optimization, an efficient data structure and turbulence,”
- Fieldsend, Singh
- 2002
(Show Context)
Citation Context ...ations in single-objectivesproblems, PSO was first applied to multi-objective settings bysMoore and Chapman [12], followed by Coello Coello andsLechuga [13], Hu and Eberhart [14], Fieldsend and Singh =-=[15]-=-,sand Parsopoulos et al. [16]. Yapicioglu et al. [2] also developedsa bi-objective PSO (bi-PSO) where the non-dominatedssolutions discovered during the search are kept in an externalsrepository called... |

51 |
Analytical Models for Locating Undesirable Facilities.
- Erkut, Neuman
- 1989
(Show Context)
Citation Context ...on VII.sII. PREVIOUSLY STUDIED SEMI-DESIRABLE FACILITYsLOCATION MODELSsThere is a large literature on the semi-desirable facilityslocation problem. An extensive survey on these models can besfound in =-=[1]-=-, [2] and [3]. Among the proposed models, wesconsider two where the objective function that definessobnoxious effects of the facility is the sum of undesirableseffects over the set of population cente... |

27 | Multiobjective optimization using parallel vector evaluated particle swarm optimization,”
- Parsopoulos, Tasoulis, et al.
- 2004
(Show Context)
Citation Context ...oblems, PSO was first applied to multi-objective settings bysMoore and Chapman [12], followed by Coello Coello andsLechuga [13], Hu and Eberhart [14], Fieldsend and Singh [15],sand Parsopoulos et al. =-=[16]-=-. Yapicioglu et al. [2] also developedsa bi-objective PSO (bi-PSO) where the non-dominatedssolutions discovered during the search are kept in an externalsrepository called Archive. During the velocity... |

23 |
Application of Particle Swarm to Multiobjective Optimization,
- Moore, Chapman
- 1999
(Show Context)
Citation Context ...if it is better thansp-fitness, p and p-fitness are also updated.sAfter successful implementations in single-objectivesproblems, PSO was first applied to multi-objective settings bysMoore and Chapman =-=[12]-=-, followed by Coello Coello andsLechuga [13], Hu and Eberhart [14], Fieldsend and Singh [15],sand Parsopoulos et al. [16]. Yapicioglu et al. [2] also developedsa bi-objective PSO (bi-PSO) where the no... |

7 |
The bicriterion semi-obnoxious location (BSL) problem solved by an e-approximation,
- Skriver, Andersen
- 2003
(Show Context)
Citation Context ...bjective function that definessobnoxious effects of the facility is the sum of undesirableseffects over the set of population centers. Details of thesesmodels are provided below.sSkriver and Andersen =-=[4]-=- formulate the semi-desirablesfacility location as follows:s( ) ( ) ( ) ( )∑ ∑ = − = = = n i b ii n i ii dwf dwf 1 22 1 11 ,min ,min axx axxs(1)sWhere ( )id ax,sis the Euclidean distance between the f... |

7 |
Equitable service by a facility: minimizing the Gini coefficient.
- Drezner, Drezner, et al.
- 2009
(Show Context)
Citation Context ...coefficient provides a measure of the fairness of the location ofsa facility with respect to the fixed locations of the populationscenters that are receiving service from the facility. Drezner etsal. =-=[7]-=- first used the concept of the Gini coefficient in thescontext of a facility location problem and proposed a solutionsapproach to find the optimal location of a single facility on asplane.sIn this pap... |

6 |
Solving the semi-desirable facility location problem using bi-objective particle swarm,
- Yapicioglu, Smith, et al.
- 2007
(Show Context)
Citation Context ...service imposedsby the facility and compare the results with those obtained bystraditional models in the literature. To do so, we use aspreviously devised bi-objective particle swarm optimizer,sbiPSO =-=[2]-=-.sThe paper is organized as follows. In Section II, we discussspreviously studied semi-desirable facility location modelssfollowed by the definition of the Lorenz curve, the Giniscoefficient and the i... |

1 | An interactive sSolution approach for a bi-objective semi-desirable location problem - E, Nadirler - 2008 |