where ( \delta ) is a (e.g., 30 days).

[ R_\textteam = \sum_i=1^n \sum_j=1^S_i w_ij \cdot \mathbf1 t ij < t_now + \delta ]

where ( w_ij ) is a weight reflecting the criticality of skill ( s_j ) for employee ( e_i ). | Layer | Components | |-------|-------------| | Data ingestion | HRIS, LMS, certification bodies (APIs), self-declared skills | | Storage | Skill graph DB (employee → skill → expiry → renewal rule) | | Checking engine | Daily batch + real-time on task assignment | | Alerting | Email, dashboard, Slack/Teams; escalation to manager if skill expired | | Forecasting | Predictive model of upcoming expiry waves by role/department | Key algorithm: Next Expiry Wave (NEW) Sort all ( t_ij ) per employee, compute gaps between consecutive expiries. Flag clusters where ≥3 skills expire within 7 days → risk of overload on employee. 4. Use Case Simulation Setting : Regional hospital, 200 nurses, each required 12 skills (BLS, ACLS, PALS, infection control, etc.) with expiries ranging 6–24 months.

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