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A model for locating preventive health care facilities

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Abstract

In this paper, we focus on the problem of locating preventive health care (PHC) facilities. The most important factors that promote participation rates in PHC programs include the establishment of an appropriate infrastructure and the provision of a satisfactory quality of care. For this purpose, we develop a strategic level multi-objective mixed integer linear programming model for locating PHC facilities to ensure maximum participation and provide timely service to potential clients. We, then, apply the model to a case study of locating Cancer Early Diagnosis, Screening and Training Centers in Istanbul, Turkey and solve it considering the forecasted population of each district in Istanbul for the next 15 years. We also perform a sensitivity analysis to quantify the effect of different weighting strategies on the value of each term in the objective function.

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Data from IARC (2017)

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Authors and Affiliations

  1. Barbaros Naval Sciences and Engineering Institute, National Defense University, 34940, Tuzla, Istanbul, Turkey

    Kerim Dogan

  2. Department of Industrial Engineering, National Defense University, Naval Academy, 34940, Tuzla, Istanbul, Turkey

    Mumtaz Karatas & Ertan Yakici

  3. Department of Industrial Engineering, Bahcesehir University, 34353, Istanbul, Turkey

    Mumtaz Karatas

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  1. Kerim Dogan
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Appendix

Appendix

DESUHM (Holt 1957) uses two smoothing constants, α and β, and two smoothing equations that calculate the value of intercept and the slope. The equations and parameters (see Table 8) used in this method are explained below.

$$ S_{t} = \alpha D_{t} + (1 - \alpha )(S_{t - 1} + G_{t - 1} ) $$
(14)
$$ G_{t} = \beta (S_{t} - S_{t - 1} ) + (1 - \beta )G_{t - 1} $$
(15)

In Eq. (14), the most current value of demand, \( D_{t} \), is averaged with the summation of \( S_{t - 1} \) and \( G_{t - 1} \) to calculate the value of intercept at time t, \( S_{t} \). In Eq. (15), the new value of the \( S_{t} \) is used to update the value of slope, \( G_{t} \), by averaging \( S_{t} - S_{t - 1} \) with the previous value of \( G_{t - 1} \). Same values can also be used for the smoothing constants; but in most applications, \( \beta \le \alpha \) equation is preferred for better stability. The forecast of the nth period at time t, is formulated as \( F_{t,t + n} = S_{t} + nG_{t} \).

Table 8 Parameters used in DESUHM equations
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Dogan, K., Karatas, M. & Yakici, E. A model for locating preventive health care facilities. Cent Eur J Oper Res 28, 1091–1121 (2020). https://doi.org/10.1007/s10100-019-00621-4

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