Security-Induced Braess Paradoxes in Service Function Chain Orchestration

2026-06-16

AI Summary

This work addresses the security-induced Braess paradox in service function chain (SFC) orchestration, where indiscriminate insertion of security functions can concentrate traffic, degrade performance, and amplify risk. The paper formally defines “Braessian security management actions,” derives sufficient conditions for the paradox to arise, and proposes a pre-deployment filtering mechanism that leverages an affine load-dependent delay model and game-theoretic equilibrium analysis to identify harmful orchestration choices. Extensive experiments on multi-tenant SFCs and real-world topologies—including fat-tree and NSFNET—demonstrate that conventional scaling strategies increase service costs by 27.2–30.8% and elevate risk concentration by 6.1–9.7×. In contrast, the proposed paradox-aware orchestration strategy limits performance penalty to under 1.9%, reduces service costs by 20.0–22.1%, and decreases proxy metrics for attack-induced losses by 93.5% on average.

Abstract

NFV/SDN orchestration lets operators instantiate and steer traffic through virtual firewalls, IDS/IPS replicas, WAF clusters, zero-trust gateways, backup inspection paths, and migration targets on demand. Operators often treat these options as monotone improvements: more inspection capacity, lower nominal latency, or broader placement flexibility should not degrade the service. That intuition can fail even when the new option is locally attractive. We study a security-induced Braess paradox in service function chain (SFC) orchestration, where adding a defensive option worsens the post-adaptation equilibrium by concentrating traffic and adversarial value on shared security resources. We define Braessian security-management actions, derive a sufficient condition for paradox emergence under affine load-dependent VNF delay, and give a pre-deployment orchestration screen that rejects, caps, or reserves harmful options. A multi-tenant SFC experiment suite applies the model to four topology-derived settings: a fat-tree datacenter, NSFNET-style WAN, GEANT-style WAN, and edge/fog topology. Under default parameters in the Braessian regime identified by the theory, naive defensive expansion raises equilibrium service cost by 27.2-30.8% and increases risk concentration by factors of 6.1-9.7. Paradox-aware constrained use keeps the residual penalty below 1.9%, reduces service cost by 20.0-22.1% relative to naive expansion, and lowers a concentration-sensitive attack-loss proxy by 93.5% on average.

Problem

• Security-Induced Braess Paradox
• Service Function Chain Orchestration
• NFV/SDN
• Risk Concentration
• Equilibrium Degradation

Innovation

• Braess paradox
• service function chaining
• security orchestration
• NFV/SDN
• risk concentration