2021
DOI: 10.1101/2021.02.24.21252397
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A Multi-Stage Stochastic Programming Approach to Epidemic Resource Allocation with Equity Considerations

Abstract: Existing compartmental models in epidemiology are limited in terms of optimizing the resource allocation to control an epidemic outbreak under disease growth uncertainty. In this study, we address this core limitation by presenting a multi-stage stochastic programming compartmental model, which integrates the uncertain disease progression and resource allocation to control an infectious disease outbreak. The proposed multi-stage stochastic program involves various disease growth scenarios and optimizes the dis… Show more

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Cited by 6 publications
(12 citation statements)
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“…Specifically, the inequality (2m) represents the budget constraint on the sum of the fixed costs of opening ETCs and the variable cost of treating infected individuals, and the cost of allocating vaccines over all regions r in all periods j under scenario ω. Constraint (2n) denotes the total capacity in region r at the end of period j under scenario ω. Constraint (2o)-(2q) are linear constraints that ensure the number of available beds in ETCs limit the number of hospitalized individuals in region r. Particularly, linear equations (2o)-(2q) are 18 equivalent to the non-linear constraints implying that the number of hospitalized individuals (I) is equal to the minimum number of infected individuals and the capacity available at established ETCs after considering currently hospitalized individuals in ETCs (see Yin and Büyüktahtakın (2021) for the details of the linearization). Constraint (2r) represents that the number of vaccines supplied to region r at period j under scenario ω is limited by the number of close contacts in region r at period j under scenario ω. Constraint (2s) ensures that the total number of vaccines allocated over all regions can not exceed the available supply at each time period.…”
Section: Logistics and Operation Management Constraintsmentioning
confidence: 99%
See 4 more Smart Citations
“…Specifically, the inequality (2m) represents the budget constraint on the sum of the fixed costs of opening ETCs and the variable cost of treating infected individuals, and the cost of allocating vaccines over all regions r in all periods j under scenario ω. Constraint (2n) denotes the total capacity in region r at the end of period j under scenario ω. Constraint (2o)-(2q) are linear constraints that ensure the number of available beds in ETCs limit the number of hospitalized individuals in region r. Particularly, linear equations (2o)-(2q) are 18 equivalent to the non-linear constraints implying that the number of hospitalized individuals (I) is equal to the minimum number of infected individuals and the capacity available at established ETCs after considering currently hospitalized individuals in ETCs (see Yin and Büyüktahtakın (2021) for the details of the linearization). Constraint (2r) represents that the number of vaccines supplied to region r at period j under scenario ω is limited by the number of close contacts in region r at period j under scenario ω. Constraint (2s) ensures that the total number of vaccines allocated over all regions can not exceed the available supply at each time period.…”
Section: Logistics and Operation Management Constraintsmentioning
confidence: 99%
“…Their optimization model simultaneously considered the logistics problem and the disease growth and represented the transitions from the infections to the treatment compartment as a variable since this transition depends on the treatment center’s capacity. Yin and Büyüktahtakın (2021) extended the deterministic epidemics-logistics model of Büyüktahtakın et al (2018) to a multi-stage stochastic mixedinteger programming model. They introduced the value of the stochastic solution (VSS) to study the advantages of the stochastic model compared to the deterministic model.…”
Section: Literature Review and Paper Contributionsmentioning
confidence: 99%
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