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Objectives of the Project:
Objective 1: To develop a Vulnerability Index considering the comorbidity, infection and recovery pattern in a region under a pandemic spread.
Objective 2: To identify the optimal temporary hub location for vaccine distribution network based on the proposed index.
Objective 3: To optimize a vehicle routing model for distributing vaccines in minimum time considering the proposed index and multimodality.
Objective 4: To optimize a multi-period intermodal vaccine supply chain by estimating the vaccine requirement considering stochastic/probabilistic demand and perishability of the vaccine.
Estimating Vulnerability index using SIR model to identify the optimum facility locations to identify the locations in India for an effective vaccine distribution strategy (Towards Objective 1)
Estimating Vulnerability index using SIR model to identify the optimum facility locations to identify the locations in India for an effective vaccine distribution strategy (Towards Objective 1)
A vaccination strategy to cover the susceptible population is the key to containing the Covid-19 virus. This paper proposes an integrated Integer Programming model with the vulnerability index of a region to find the optimal facility locations for distributing vaccines while minimizing the weighted distance. The vulnerability index used therein is estimated using the Susceptible Infected and Recovered model. The proposed distribution model considers the case of India by analyzing the infected and recovered population data, demand, GPS locations and the distance matrix using them. The results show optimum facility locations connecting all the states across India while being responsive to their vulnerability.
Results for Calculation of Regional Vulnerability Index
Results for Calculation of Regional Vulnerability Index
Population Coverage and Vulnerability Coverage after the identification of Facility Locations
Population Coverage and Vulnerability Coverage after the identification of Facility Locations
The Regional Vulnerability Index forms a priority matrix for models to find optimal storage hubs for distributing vaccines. Three Mixed Integer Quadratically Constrained Programming (MIQCP) models are proposed by introducing the RVI in a Non-Linear P-centre (NLPc) problem with different weightage schemes. The results show that the weighting scheme with the population to RVI ratio leads to a fair distribution with equality in vulnerable region coverage. The model, while compared, shows an almost similar strategy to the public distribution strategy published by the Government of India. The results obtained are also supported mathematically by network metrics like degree centrality, weighted degree centrality, closeness centrality, etc., proposed for network evaluation.
Zonal Seggregations of all the Optimization problems
Facility location based on all the optimization problems
Questions?
Questions?
Contact [biswajitkr8@gmail.com] to get more information on the project
Data Used in the project
Data Used in the project
The following sheets explains the data used.
State-wise Covid Data for India (Publicly available)
Data of the parameters of the optimization problem were collected and calculated from different sources. The data will be made available based on the request.
Block location (3).xlsxState-wise Covid Data (Publicly Available)
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