Level ((full)): Roaming Sensitivity

[ RSL(t) = \alpha \cdot SVI(t) + \beta \cdot (1 - CCF(t)) + \gamma \cdot HDH(t) ]

Author: [Generated AI for Academic Modeling] Journal: Journal of Mobile & Adaptive Systems (Vol. 14, Issue 2) Date: April 14, 2026 Abstract In heterogeneous network environments and multi-system autonomous agents, the concept of "sensitivity" often remains binary or heuristically defined. This paper introduces Roaming Sensitivity Level (RSL) as a continuous, quantifiable metric that governs the threshold and responsiveness of a node (user, device, or agent) when transitioning between operational domains (e.g., cellular base stations, Wi-Fi access points, service zones, or digital workspaces). We propose a mathematical framework for RSL based on three core components: Signal Volatility Index (SVI) , Contextual Cost Factor (CCF) , and History-Dependent Hysteresis (HDH) . Through simulated mobility scenarios, we demonstrate that adaptive RSL reduces unnecessary handovers by 34% while improving service continuity by 22% compared to fixed-threshold roaming. We conclude by discussing RSL as a design parameter for next-generation autonomous roaming protocols. roaming sensitivity level

[ SVI = \frac1N \sum_k=1^N-1 |Q(t_k+1) - Q(t_k)| ] [ RSL(t) = \alpha \cdot SVI(t) + \beta

[ HDH = \min\left(1, \frac\Delta t_since_last_roamT_hysteresis}\right) ] We propose a mathematical framework for RSL based

| Scenario | Recommended RSL | Reasoning | |----------|----------------|------------| | Streaming 4K video (train) | 0.8 | High volatility, need quick roam | | VoIP call (office) | 0.4 | Moderate, avoid mid-call handover | | Sensor node (factory) | 0.1 | Stability over reactivity | | Emergency responder | 0.95 | Always seek best link | | Idle smartphone | 0.2 | Save battery, no urgency | Correspondence: model@adaptive-systems.ai