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COVID-19 vaccine: Optimizing cold chain transportation

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Recent promising news regarding COVID-19 vaccine development from Pfizer /ย BioNTech,ย Moderna, &ย AstraZeneca / Oxford Universityย has given the world a glimmer of hope in the fight against the pandemic.

Once the vaccines have been approved for public use and manufactured in sufficient quantities, the next challenge will be how they are distributed effectively to communities around the world. With officials announcing that they expect to begin distributing a vaccine โ€œwithin hours after authorizationโ€, the logistics of delivery will be as critical as the pharmacology.

The vaccines have strict storage requirements with specializedย thermal shippersย being used alongside traditional cold transportation networks. Theย International Air Transport Associationย (IATA) estimates that in 2019,ย $34 billion worth of vaccines were wasted because they were subjected to unsafe temperature fluctuations while being shipped.

Location Intelligenceย can play a key role in the optimization of such networks and the critical last-mile, especially important in small and rural communities who do not have access to the kind of medical equipment usually found in urban centers.

Vaccine Distribution Optimization

Recently, we worked in collaboration withย SEUR-Spain to assess their currentย cold transportationย network, and the steps to be followed to successfully build a solution that would allow them to optimize it.

Similar analysis can be used to increase the efficiency of vaccine distribution, as outlined below and focusing on:

  1. Assessment of current state: Identifying where there is greater vaccine demand based on case rates and locations of those most in need (e.g., health care workers and the vulnerable), the characteristics and demographics of these areas, and whether vaccine development and distribution centers (DCs) are strategically located.
  2. Assessment and quantification of the impact of changes in the current network. Mainly, the impact of opening/closing development and distribution centers and changes in vaccination areas.
  3. Building of an optimization model to identify where development and DCs should be located and designing the ideal transportation network (supply chain network design).

Also read: What is GeoAI and how it is being used in COVID-19 response

Approach and Results

The approach involves applying differentย Spatial Data Scienceย techniques in an iterative way, adding complexity over time, ensuring meaningful insights and results with every step.

1. Clustering: High Density Area Analysis

The first analysis which can be carried out is a clustering analysis to identify areas with a high concentration of vaccine demand/need. The goal of this analysis is to verify whether development and DCs are located strategically and whether the spatial characteristics of high density areas (land covered, administrative areas covered, etc.) can be leveraged to improve delivery areas.

For this analysisย DBSCANย can be utilized, a density-based clustering non-parametric algorithm which groups points that are closely packed together (points with many nearby neighbors), marking as outliers any points that lie alone in low-density regions.

This algorithm has two parameters that can be easily translated to get meaningful clusters:

  • Maximum distance between samples: In this case, the maximum distance between two vaccination centers or delivery areas for one to be considered in the neighborhood of the other.
  • Minimum number of samples to consider a cluster: In our case, the minimum number of nearby vaccination centers or delivery areas to be considered as a high density area.

The algorithm can be run with different parameter values and with different time aggregations to analyze the spatio-temporal behavior with the map below showing the types of clusters that can be identified.

Here areas can be identified where the density did not appear to be high enough to have a dedicated DC. This raises questions such as whether it would be possible to close some of those DCs, or whether it was worth maintaining some DCs against the cost of delivering from other DCs.ย 

Courtesy: CARTO

2. Support Selection & Discretization

For strategic and tactical planning, the focus is not on the exact location of demand, but rather an estimation aggregated both spatially and temporally. Selecting the right spatial aggregation is critical.

There are different alternatives for spatial aggregation.ย H3ย andย Quadkey gridย are two examples of standard hierarchical grids. However, oftentimes public health body or governmental requirements impose the use of other spatial aggregations more โ€œnaturalโ€ to people. Some examples are zip codes, municipalities, and administrative regions.

The map below shows a representation of vaccines delivered during a whole month aggregated using the H3 and Quadkey grids, and municipalities. Throughout the different analyses, we worked with H3 grid, resolution 5 (cells of size ~200km2), and municipalities.

This discretization can be very useful for demand forecasting as well as many other uses as it allows us to characterize every cell/municipality based on its demographic makeup , consumption patterns, infrastructure, etc.ย CARTO data streamsย make it very easy to discover interesting datasets and incorporate them into your analyses.

3. Analyzing The Impact Of Opening or Closing Distribution Centers

Once the grid is selected, the next step is to analyze the impact of opening and closing development and DCs. In order to do this, a simple prototype can be built that allows the addition (opening) and removal (closure) of such sites and the quantification of the impact on the distance metrics. Operational cost estimates can also be added, so that trade-offs between distance and operational costs can be quantified.

Also read: COVID-19 push to aerial surveying and mapping

The animation below shows how this prototype works. First, one area has three DCs very close to one another with none of them proximate to a high density area (based on the results obtained in the first step). The one in the middle could be removed based on an analysis of itโ€™s key impact metrics. Secondly, an area with a high level of demand/need can be identified, suggesting the addition of a new DC. After these two changes, there is the same number of DCs but with slightly lower average distances.

Note in this step we assigned cells to their closest DC and we didnโ€™t take the DCโ€™s capacities into account. We incorporated capacities in the following step.

4. Introducing Optimization. Calculating Optimal Delivery Areas Based on Distance and DC Utilization

The final step consists of building an optimization model to calculate the optimal delivery areas of each DC so that they could be compared to existing ones.

This can be modeled withย linear optimizationย with the following map showing the resulting vaccine delivery areas:

Courtesy: CARTO

The optimization results in an average distance decrease per delivery of just over 4% which considering the scale of the vaccine distribution efforts required, would translate into significant savings in fuel, fleet size, and time.

Also read: UN agencies say international transport and supply chains key to COVID-19 recovery

Conclusion

The first doses of a coronavirus vaccine could be distributed within a few weeks with initial focus ensuring they are delivered to those most at risk and vulnerable.

Using spatial data analysis techniques, as outlined in this post, can boost the optimization of cold transportation networks to speed up this process and ensure rapid vaccination of the population.

This blog first appeared on Carto.com.

Miguel is a Data Scientist at CARTO. His work focus has been on solving problems with a strong spatial component by enriching data, and applying spatial analysis and spatial statistics, combined with Machine Learning techniques. Before CARTO, he worked as an Optimization Expert and Data Scientist solving complex business problems in a wide variety of sectors from transportation & logistics, through production planning, to workforce planning. Dan is the Content Marketing Manager at CARTO. Dan holds a Masters in Electronic Engineering with business experience in development, sales, training and marketing. Prior to joining CARTO, Dan was a Senior Product Marketing Manager at Apple.