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

📅 2026-03-09
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🤖 AI Summary
This study addresses the inefficiency in serverless platforms caused by complex, non-conservative information flows among functions. It introduces Hodge decomposition—a novel application in this domain—to construct a service topology model that decomposes observed operational flows into locally correctable components and globally persistent harmonic modes. The work demonstrates that harmonic flows are intrinsic structural characteristics of the system rather than artifacts of misconfiguration, and leverages this insight to propose new optimization mechanisms such as the “dumping effect.” By constructing service flow spectra and performing harmonic analysis, the approach effectively identifies architectural-level performance bottlenecks, thereby validating its efficacy in uncovering structural inefficiencies and guiding targeted performance optimizations.

Technology Category

Machine Learning: Hardware-aware MLPlanning, Routing, and Scheduling: Optimization of Spatio-temporal SystemsSearch and Optimization: Distributed Search

Application Category

Responsible Web: Human-perceived consequences of algorithmic deployment on the webSystems and Infrastructure for Web, Mobile and WoT: Web performance, measurement, and characterizationGraph Algorithms and Modeling for the Web: Efficient manipulation of static and dynamic Web-related graphs
📝 Abstract
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.
Problem

Research questions and friction points this paper is trying to address.

serverless platforms
service operational analysis
information flows
harmonic inefficiencies
function interactions
Innovation

Methods, ideas, or system contributions that make the work stand out.

Hodge decomposition
serverless platforms
topological modeling
harmonic flows
operational analysis
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Gianluca Reali
Gianluca Reali
Associate Professor, University of Perugia
networkingtelecommunications
M
Mauro Femminella
Department of Engineering, University of Perugia, 06125 Perugia, Italy, and with Consorzio Nazionale Interuniversitario per le Telecomunicazioni (CNIT), 43124 Parma, Italy