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Journal of Prevention

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01.02.2020 | Original Paper

Minimizing Health-Compromising Behaviors via School-Based Programs: An Optimization Approach

verfasst von: Niloofar Bavarian, Banafsheh Behzad, Sheena Cruz

Erschienen in: Journal of Prevention | Ausgabe 1/2020

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Abstract

School health programs are united by their desire to promote health and health-related outcomes among youth. They are also united by the fact that their expected effects are contingent on successful program implementation, which is often impeded by a multitude of real-world barriers. Techniques used in management science may help optimize school-based programs by accounting for implementation barriers. In this exploratory study, we present a detailed example of the first known application of linear programming (LP), which is an optimization technique, to Positive Action (PA). PA is a social emotional and character development program that includes a six-unit, teacher-delivered, classroom curriculum. We specify how we used LP to calculate the optimal levels of program implementation needed to minimize substance use, subject to known levels of implementation barriers (e.g., disruptive behavior, teacher education, teacher attitudes towards character development, school resources, and school safety). We found that LP is a technique that can be applied to data from a school health program. Specifically, we were able to develop a model that calculated the number of lessons that should be taught to minimize a specific health-compromising behavior, given expected levels of predetermined implementation barriers. Our findings from this exploratory study support the utility of applying LP during the program planning and implementation processes of school health programs.

Simple linear regression equations used to form the objective function (Eq. 1):

$$SU = - 0.123u_{1} + 1.141$$

$$SU = - 0.128u_{2} + 1.145$$

$$SU = - 0.138u_{3} + 1.175$$

$$SU = - 0.152u_{4} + 1.214$$

$$SU = - 0.152u_{5} + 1.214$$

$$SU = - 0.152u_{6} + 1.214$$

Constrains related to student disruptive behavior: $u_{1} \le 3.356$² (obtained from nonequality ¹u₁ ≤ 0.7672 × 2.88 + 1.1462 = 3.356)

$$u_{2} \le 3.197$$

$$u_{3} \le 3.197$$

$$u_{4} \le 3.213$$

$$u_{5} \le 3.182$$

$$u_{6} \le 3.112$$

Constraints related to teacher’s various levels of education

$$u_{1} \ge 3.192$$

$$u_{2} \ge 3.070$$

$$u_{3} \ge 3.070$$

$$u_{6} \ge 2.966$$

Constraints related to teacher’s perceived responsibility to teach SECD

$$u_{1} \ge 3.342$$

$$u_{2} \ge 3.083$$

$$u_{3} \ge 3.083$$

Constraint related to school’s adequate resources $u_{1} \ge 3.218$

Constraints related to school safety

$$u_{1} \ge 2.713$$

$$u_{2} \ge 2.356$$

$$u_{3} \ge 2.356$$

$$u_{4} \ge 2.360$$

$$u_{5} \ge 2.253$$

$$u_{6} \ge 2.188$$

Constraints related to the range of the responses for each decision variable:

$$u_{1} , \ldots ,u_{6} \ge 1$$

$$u_{1} , \ldots ,u_{6} \le 5$$

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Titel: Minimizing Health-Compromising Behaviors via School-Based Programs: An Optimization Approach
verfasst von: Niloofar Bavarian
Banafsheh Behzad
Sheena Cruz
Publikationsdatum: 01.02.2020
Verlag: Springer US
Erschienen in: Journal of Prevention / Ausgabe 1/2020
Print ISSN: 2731-5533
Elektronische ISSN: 2731-5541
DOI: https://doi.org/10.1007/s10935-020-00577-1

Springer Medizin

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