Load balancing and capacity constraints in a hierarchical location model

Galvão, Roberto D.; Espejo, Luis Gonzalo Acosta; Boffey, Brian; Yates, Derek

doi:10.1016/j.ejor.2004.09.049

Cited by 55 publications

(41 citation statements)

References 10 publications

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“…Alguns destes 1,2,8,9,10,11 discorrem sobre modelos de localização para sistemas de saúde em geral e outros 12,13,14,15,16,17 abordam modelos de localização que consideram níveis hierárquicos. Trabalhos qualitativos sobre acessibilidade são variados, e em geral visam a avaliar as facilidades e/ou dificuldades de acesso a meios de transportes ou a destinos 18,19,20,21 .…”

Section: Introductionunclassified

Avaliação de acessibilidade geográfica em sistemas de saúde hierarquizados usando o modelo de p-medianas: aplicação em Santa Catarina, Brasil

Cirino

Gonçalves

et al. 2016

Cad. Saúde Pública

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Este trabalho tem por objetivo comparar a distribuição de unidades hospitalares, considerando os diferentes graus de especialização, em Santa Catarina, Brasil, com a distribuição de unidades resultantes da aplicação do modelo hierárquico de p-medianas, em três níveis. O modelo de p-medianas é usado para determinar a localização das unidades, e a seguir é comparado o deslocamento médio da população para alcançar as unidades médicas nos dois cenários, o atual e o simulado. Um indicador quantitativo de acessibilidade é proposto e é usado para avaliar a acessibilidade da distribuição atual com a simulada. O trabalho tem o intuito de revelar regiões subatendidas, e de servir de ferramenta de auxílio à decisão de gestores na área de saúde para possíveis intervenções no sistema, no sentido de torná-la mais homogênea e mais acessível à população

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Section: Introductionunclassified

Avaliação de acessibilidade geográfica em sistemas de saúde hierarquizados usando o modelo de p-medianas: aplicação em Santa Catarina, Brasil

Cirino

Gonçalves

et al. 2016

Cad. Saúde Pública

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show abstract

“…This issue is discussed in Galvão et al (2004). In the capacitated model discussed in that paper two different situations arise in practice: (i) existing capacity at level 3 is appropriate, in which case the problem becomes one of load balancing among the level 3 services; (ii) existing capacity is insufficient; in this case the problem becomes one of how to locate these services and allocate with equity, among the population, the demand that can be met.…”

Section: Flow and Location Variablesmentioning

confidence: 99%

Uncapacitated facility location problems: contributions

Galvão

2004

Pesqui. Oper.

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The objective of the present paper is to review my personal contributions in the field of uncapacitated facility location problems. These contributions took place throughout my academic career, from the time I was a Ph.D. student at Imperial College to the present day. They cover approximately 30 years, from 1973 to 2003; they address: algorithms developed for the p-median problem and for a general formulation of uncapacitated location problems; the study of dynamic location models; covering and hierarchical location problems; queuing-based probabilistic location models. The contributions encompass theoretical developments, computational algorithms and practical applications. All work took place in an academic environment, with the invaluable collaboration of colleagues (both in Brazil and abroad) and research students at COPPE. Each section in the paper is dedicated to a topic that involves a personal contribution. Every one of them is placed within the context of the existing literature.

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“…A related problem is the equitable load problem, where ensuring an equitable service load distribution over the service facilities is of concern (Berman et al, 2009;Baron et al, 2007;Suzuki & Drezner, 2009;Galvão et al, 2006).…”

Section: Location Problemsmentioning

confidence: 99%

“…Jang et al (2006) use the mean square deviation ( i∈I (y i − y) 2 ). Galvão et al (2006) use the maximum componentwise deviation from average as a measure of inequity (Max i∈I |y i − y|). Variance satisfies PD.…”

Section: Inequality Index Based Approachesmentioning

confidence: 99%

Inequity averse optimization in operational research

Karsu

Morton

2015

European Journal of Operational Research

149

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a b s t r a c tThere are many applications across a broad range of business problem domains in which equity is a concern and many well-known operational research (OR) problems such as knapsack, scheduling or assignment problems have been considered from an equity perspective. This shows that equity is both a technically interesting concept and a substantial practical concern. In this paper we review the operational research literature on inequity averse optimization. We focus on the cases where there is a tradeoff between efficiency and equity.We discuss two equity related concerns, namely equitability and balance. Equitability concerns are distinguished from balance concerns depending on whether an underlying anonymity assumption holds. From a modeling point of view, we classify three main approaches to handle equitability concerns: the first approach is based on a Rawlsian principle. The second approach uses an explicit inequality index in the mathematical model. The third approach uses equitable aggregation functions that can represent the DM's preferences, which take into account both efficiency and equity concerns. We also discuss the two main approaches to handle balance: the first approach is based on imbalance indicators, which measure deviation from a reference balanced solution. The second approach is based on scaling the distributions such that balance concerns turn into equitability concerns in the resulting distributions and then one of the approaches to handle equitability concerns can be applied.We briefly describe these approaches and provide a discussion of their advantages and disadvantages. We discuss future research directions focussing on decision support and robustness.

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Load balancing and capacity constraints in a hierarchical location model

Cited by 55 publications

References 10 publications

Avaliação de acessibilidade geográfica em sistemas de saúde hierarquizados usando o modelo de p-medianas: aplicação em Santa Catarina, Brasil

Avaliação de acessibilidade geográfica em sistemas de saúde hierarquizados usando o modelo de p-medianas: aplicação em Santa Catarina, Brasil

Uncapacitated facility location problems: contributions

Inequity averse optimization in operational research

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