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"tier hierarchy" is a correct and usable phrase in written English.
It refers to a system of organizing or ranking elements or levels in a hierarchical structure, with each level representing a different level of importance or authority. Example: The company's management structure is organized into a tier hierarchy, with the CEO at the top tier, followed by the executive team, department heads, and then employees.
Exact(6)
We have simulated the behaviour of the DNS infrastructure using a 3 tier hierarchy of domain name servers and a three level caching strategy.
These different levels of abstraction produce a three tier hierarchy.
Nagios in its simplest configuration is a two tier hierarchy; there exists a single monitoring server and a number of monitored servers.
The CDN architecture typically deploys a load balanced setup with distributed cache servers spread geographically around the world in order to optimize latency, bandwidth, and cost of networking [25, 26], leading to data replication into various centers and a static tier hierarchy.
This proposed link between the five items can be visually depicted as forming a three tier hierarchy.
The probes, probesets and transcript clusters from these files annotated as targeting core human transcripts (i.e. non Affymetrix control probes) were combined, based on their annotated genomic coordinates, to create a mapping table with a three tier hierarchy where probes belong to probesets that in turn belong to transcript clusters (mapping table available on request).
Similar(54)
The EU's next constitutional conference is likely to propose a formal restructuring of the commission into a two-tier hierarchy.
It presents its dancers as a three-tier hierarchy (ballerina and leading cavalier, two female demisoloists with cavaliers, small corps de ballet).
We model a sensor network architecture based on a three-tier hierarchy of nodes which generalizes to a two-tier WSNet with multiple sinks.
His continuing interest in political problems, however, was revealed when in 1959 he argued for a "reconstruction of Indian polity" by means of a four-tier hierarchy of village, district, state, and union councils.
The result is a model based on a four tiered hierarchy, with three main criteria: institutional commitment, example setting, and advancing sustainability.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com