Equity measurement in facility location analysis: A review and framework

Marsh, Michael T.; Schilling, David

doi:10.1016/0377-2217(94)90200-3

Cited by 387 publications

(234 citation statements)

References 37 publications

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“…In the benchmarks, the generalized disutility perceived by a user sharing a given location was the sum of three distances from the user's location to the three nearest vehicle locations. The suffixes BG and BGh denote bisection approaches, where the IP-solver solves the optimization problem for a fixed value G t at each step t. The denotation BG corresponds to the models (18), (3)-(6), (8), (9), (19) or (23), (12), (13), (15), (16), (24), while the denotation BGh is used for the models (20), (3)- (6), (8), (9), (21), (22) or (25), (12), (13), (15), (16), (26), (22) depending on location-allocation or radial formulations. To solve the problems described by the mentioned models, optimization software FICO Xpress 7.3 (64-bit, release 2012) was used and the experiments were run on a PC equipped with the Intel® Core™ i7 3610 QM processor, at 2.3 GHz and with 8 GB RAM.…”

Section: Computational Studymentioning

confidence: 99%

“…This approximation of the original constraints enabled solving the problem (25), (28), (30), (12) and (15) instead of (23), (12), (13), (15), (16) This initial phase gives the result presented in Table 4 …”

Section: Computational Studymentioning

confidence: 99%

“…The fairness in general emerges whenever limited resources are to be fairly distributed among participants [2,12,13]. The strongest scheme is the so called lexicographic min-max criterion.…”

Section: Introductionmentioning

confidence: 99%

“…A similar construction can be developed for radial formulation, where the first formulation consists of minimizing expression (23) subject to (12), (13) In the second formulation, the auxiliary variables h j ≥ 0 for jJ are also introduced and the minimization problem (25) subject to (12), (13), (15) …”

mentioning

confidence: 99%

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Min-max optimization and the radial approach to the public service system design with generalized utility

Janáček

Kvet

2016

Croat. Oper. Res. Rev.

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Abstract. The paper deals with the min-max public service system design, where the generalized utility is considered. In contrast to the formulations presented in the literature, the generalized utility defined for a public service system assumes that the user's utility comes generally from more than one located service center and the individual contributions from relevant centers are weighted by reduction coefficients depending on a center order. Given that commercial IP-solvers often fail due to enormous computational times or extreme memory demands when resolving this issue, we suggested and compared several approaches based on a bisection process with the purpose of developing an effective max-min approach to the public service system design with a generalized utility.

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Section: Computational Studymentioning

confidence: 99%

Section: Computational Studymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

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Min-max optimization and the radial approach to the public service system design with generalized utility

Janáček

Kvet

2016

Croat. Oper. Res. Rev.

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“…Total risk, the equity of the distribution of the risk imposed, and dollar costs associated with the location scheme have been three crucial objectives addressed in this literature [34], [55]. Numerous approaches have been taken to address the equity of risk [32], [24], [38]. Minimizing the maximum risk imposed upon any individual [37], [18], [15] or on any region [36] have been important approaches to modeling the equity of risk.…”

mentioning

confidence: 99%

A multiobjective modeling approach to locating incinerators

Alçada-Almeida

Coutinho-Rodrigues

Current

2009

Socio-Economic Planning Sciences

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The location of hazardous material incineration facilities is an important problem due to the environmental, social, and economic impacts that they impose. The costs associated with the facilities and the risks placed on nearby populations are important concerns as are the distributions of these costs and risks. This paper introduces a mixed-integer, multiobjective programming approach to identify the locations and capacities of such facilities. The approach incorporates a Gaussian dispersion model and a multiobjective optimization model in a GIS based inter-active decision support system that planners can access via the Internet. The proposed approach is demonstrated via a case study in central Portugal where the national government has decided to locate a large facility for the incineration of hazardous industrial waste. Due to intense local and national opposition, construction of the facility has been delayed. The system has been designed so that it can be used by decision makers with no special training in dispersion modeling, multiobjective programming, or GIS.

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A Review of Equity in Nonprofit and Public Sector: A Vehicle Routing Perspective

Iravani

Smilowitz

2011

Wiley Encyclopedia of Operations Research and Management Science

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The majority of operations research (OR) applications and models focus on performance metrics and objectives based on effectiveness and efficiency. Equity is a key goal of nonprofit and public sector operations and has been studied considerably less than effectiveness and efficiency. In this article, we present an overview of incorporating equity in OR models and we review vehicle routing applications, such as disaster relief, mobility services, food distribution, and hazardous material transportation, which consider equity. We suggest future research directions in studying equity in vehicle routing.

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Equity measurement in facility location analysis: A review and framework

Cited by 387 publications

References 37 publications

Min-max optimization and the radial approach to the public service system design with generalized utility

Min-max optimization and the radial approach to the public service system design with generalized utility

A multiobjective modeling approach to locating incinerators

A Review of Equity in Nonprofit and Public Sector: A Vehicle Routing Perspective

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