A Hodge-Based Framework for Service Operational Analysis in Serverless Platforms

Fuente: arXiv
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Main Authors: Reali, Gianluca, Femminella, Mauro
Format: Preprint
Published: 2026
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author Reali, Gianluca
Femminella, Mauro
author_facet Reali, Gianluca
Femminella, Mauro
contents In this paper we propose a method for analyzing services deployed in serverless platforms. These services typically consists of orchestrated functions that can exhibit complex and non-conservative information flows due to the interaction of independently deployed functions under coarse-grained control mechanisms. We introduce a topological model of serverless services and make use of the Hodge decomposition to partition observed operational flows into locally correctable components and globally persistent harmonic modes. Our analysis shows that harmonic flows naturally arise from different kind of interactions among functions and should be interpreted as structural properties of serverless systems rather than configuration errors. We present a systematic methodology for analyzing inter-function flows and deriving actionable remediation strategies, including dumping effects to contain the effects of harmonic inefficiencies as an alternative to completely restructure the topological model of the service. Experimental results confirm that the proposed approach can uncover latent architectural structures leading to inefficiencies.
format Preprint
id arxiv_https___arxiv_org_abs_2603_08192
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle A Hodge-Based Framework for Service Operational Analysis in Serverless Platforms
Reali, Gianluca
Femminella, Mauro
Distributed, Parallel, and Cluster Computing
Networking and Internet Architecture
In this paper we propose a method for analyzing services deployed in serverless platforms. These services typically consists of orchestrated functions that can exhibit complex and non-conservative information flows due to the interaction of independently deployed functions under coarse-grained control mechanisms. We introduce a topological model of serverless services and make use of the Hodge decomposition to partition observed operational flows into locally correctable components and globally persistent harmonic modes. Our analysis shows that harmonic flows naturally arise from different kind of interactions among functions and should be interpreted as structural properties of serverless systems rather than configuration errors. We present a systematic methodology for analyzing inter-function flows and deriving actionable remediation strategies, including dumping effects to contain the effects of harmonic inefficiencies as an alternative to completely restructure the topological model of the service. Experimental results confirm that the proposed approach can uncover latent architectural structures leading to inefficiencies.
title A Hodge-Based Framework for Service Operational Analysis in Serverless Platforms
topic Distributed, Parallel, and Cluster Computing
Networking and Internet Architecture
url https://arxiv.org/abs/2603.08192