Exploring Two Solution Methods for the Two-Stage Location-Activation Problem

This study highlights the importance of medical logistics research during crises that might stress the system. We formulated a practical problem statement for the organizational structure of the medical logistics system, which has three types of centers: regional, subregional, and distribution. We also proposed a mathematical model for the two-stage location-activation problem, which minimizes the costs of operation, delivery, location, and activation. For the proposed mathematical model, two solution approaches are presented. The first approach divides the process into two steps: locate the distribution centers by solving the continuous problem and then use the obtained coordinates to solve the second (discrete) part. The second approach is a combined solution technique combining continuous and discrete parts using full information during the algorithm's execution. Both can be used to solve the problem, the first is simpler and has a lower time complexity, and the second uses more information but has higher time complexity.

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Publication Details

Journal
The Scientific Issues of Ternopil Volodymyr Hnatiuk National Pedagogical University Series pedagogy
Published
2024-11-21
Primary Topic
Facility Location and Emergency Management
Type
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article

Exploring Two Solution Methods for the Two-Stage Location-Activation Problem

The Scientific Issues of Ternopil Volodymyr Hnatiuk National Pedagogical University Series pedagogy
Facility Location and Emergency Management
article

Exploring Two Solution Methods for the Two-Stage Location-Activation Problem

article en

Abstract

This study highlights the importance of medical logistics research during crises that might stress the system. We formulated a practical problem statement for the organizational structure of the medical logistics system, which has three types of centers: regional, subregional, and distribution. We also proposed a mathematical model for the two-stage location-activation problem, which minimizes the costs of operation, delivery, location, and activation. For the proposed mathematical model, two solution approaches are presented. The first approach divides the process into two steps: locate the distribution centers by solving the continuous problem and then use the obtained coordinates to solve the second (discrete) part. The second approach is a combined solution technique combining continuous and discrete parts using full information during the algorithm's execution. Both can be used to solve the problem, the first is simpler and has a lower time complexity, and the second uses more information but has higher time complexity.

The Scientific Issues of Ternopil Volodymyr Hnatiuk National Pedagogical University Series pedagogy
Dnipro University of Technology (UA)
Openalex Percentile: Top 36%
Facility Location and Emergency Management
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Exploring Two Solution Methods for the Two-Stage Location-Activation Problem · The Scientific Issues of Ternopil Volodymyr Hnatiuk National Pedagogical University Series pedagogy (2024) | TGRS Research Map | TGRS